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범주형 - 범주형에 대한 분석

  1. 각 범주별 빈도 확인
  2. 카이제곱 검정 2가지
    1) 적합도 검정(GOF, goodness of Fit test) : 실제 관측된 범주별 빈도 - 관측값(Obs)들이 특정한 확률-예상값(E)과의 차이가 유의미한지 안하는지를 검정
    (1) H0 : 관측값(관측값의 도수)와 예상값(기대 관측도수)가 동일하다
    (2) H1 : 적어도 하나의 범주(집단, 수준, class)의 도수가 가정한 이론도수(기대관측도수)와 다르다.
    2) 독립성 검정 : 요인(범주) 2개가 서로 연관이 있는지 검정
    (1) H0 : 두 범주형 변수 X, Y는 독립이다. -> 연관성 없다
    (2) H1 : 두 범주형 변수 X, Y는 독립이 아니다 -> 연관성 없다.
  1. Fisher's Exact test : (교차표상에서) 각 관측값들로 구한 기대값(Expected)가 5이하로 나타난 cell이 25%이상(1/4이상)일 때 쓰는 범주1-범주2의 독립성 test
    ex> 2x2교차표에서 25%(1/4)= 1개 : cell에 대해서 expected가 5이하가 한개라도 나오면, Fisher exact test로 변환해서 수행.
    • R상에서 warning message로 카이제곱 approximation은 정확하지 않을수도 있습니다.라 는 문구가 나오면, 카이제곱이 아닌 Fisher's Exact test로 연관성(독립성)검정한다.
    • 과거의 많은 의료논문에서 cell 25%이상이 expected 5이하인데도 카이제곱 검정으로 연관성 테스트를 한 경우가 많다고 한다.
  1. Trend test : 독립변수로서 순서를 가진(3집단 이상의) 범주형 - 2집단의 범주(종속변수)에 대해, 독립변수(순서가진 3집단의 범주1)의 순위가 증가함에 따라 종속변수(2집단의 범주2)의 비율이 증가or감소하는지 경향성을 확인하는 검정
    • Score test for trend or Cochran-armitage test라고도 한다
    • H0 : 종속변수(집단2개의 범주)의 비율이 동일하다(일정하다)
    • H1 : 종속변수(집단2개의 범주)의 비율이 동일하지 않다 = 증가/감소추세가 있다.

      my) 미리 순서가진 범주형이 있고, 종속변수는 범주를 2개를 가진다. H0는 Trend가 없다이다.

카이제곱 검정

참고 블로그 : https://m.blog.naver.com/msluv1202/220869305650

  1. 적합도 검정 (GOF) :범주1개에 대한 범주별 빈도(관측도수)와 그 기대값(특정된 확률)을 비교한다.
    아래는 교차표는 아니지만, 범주1개(동전의 앞/뒤)에 대한 관측값과 기대관측도수를 나타내었고, 카이제곱 검정통계량을 아래와 같이 구한다. 이 검정통계량을 카이제곱 분포에 대입하여, 유의확률을 계산하여 H0(관측값과 예상값이 동일하다)를 기각하던지 기각하지 않던지 보면 된다.

  2. 독립성 검정 : 일반적으로 많이 사용하는 카이제곱 검정으로, 쉽게 말해서, 범주1별 빈도와 범주2별 빈도의 교차표(contingency table)로 카이제곱 검정통계량을 계산한다. - 범주가 2개인 교차표에서 각 관측값들에 대한 Expected(기대값)을 계산 하는 법
    (1) 아래와 같이 범주1(A,B,C,D) + 범주2(white, blue, no collar) + total의 교차표가 있다고 가정

    (2) 첫번째 관측값( A & white colooar)인 90에 대한 Expected를 구해보자.

Untitled

내용정리

    1. 상관관계 : 숫자형-숫자형 변수의 관계, 직선성에 대한 척도, 그래프시 산점도 / 분석시 상관관계
    1. t-test : 범주(요인) 1개 속 2개의 집단(수준, class, 범주의 종류)별 숫자형의 평균차이 검정
    1. anova : 범주(요인) 1개 or 2개 속 3개의 집단(수준, class, 범주의 종류)별 숫자형의 평균차이를 분산분석으로 검정

상관관계

  • moonBook 의 acs데이터
  • 숫자형 hegiht, weight, bmi칼럼만 가져와서 acs2로 만들고 산점도, 히트
# 0. 데이터 준비

library(moonBook)

data(acs)

head(acs)
##   age    sex cardiogenicShock   entry              Dx   EF height weight

## 1  62   Male               No Femoral           STEMI 18.0    168     72

## 2  78 Female               No Femoral           STEMI 18.4    148     48

## 3  76 Female              Yes Femoral           STEMI 20.0     NA     NA

## 4  89 Female               No Femoral           STEMI 21.8    165     50

## 5  56   Male               No  Radial          NSTEMI 21.8    162     64

## 6  73 Female               No  Radial Unstable Angina 22.0    153     59

##        BMI obesity  TC LDLC HDLC  TG  DM HBP smoking

## 1 25.51020     Yes 215  154   35 155 Yes  No  Smoker

## 2 21.91381      No  NA   NA   NA 166  No Yes   Never

## 3       NA      No  NA   NA   NA  NA  No Yes   Never

## 4 18.36547      No 121   73   20  89  No  No   Never

## 5 24.38653      No 195  151   36  63 Yes Yes  Smoker

## 6 25.20398     Yes 184  112   38 137 Yes Yes   Never
# 1. 숫자형 필요칼럼만 뽑기

acs2 <- acs[, c("height", "weight", "BMI")]



# 2. 상관계수 행렬

cor( acs2, use = "na.or.complete")
##              height    weight          BMI

## height  1.000000000 0.6315767 -0.009049596

## weight  0.631576661 1.0000000  0.762441135

## BMI    -0.009049596 0.7624411  1.000000000
# 3. 산점도+상관계수 행렬 pairplot 1

library(psych)

pairs.panels(acs2)

# 4. 산점도+상관계수 행렬 pairplot 2

library(PerformanceAnalytics)
## Loading required package: xts
## Loading required package: zoo
## 

## Attaching package: 'zoo'
## The following objects are masked from 'package:base':

## 

##     as.Date, as.Date.numeric
## 

## Attaching package: 'PerformanceAnalytics'
## The following object is masked from 'package:graphics':

## 

##     legend
chart.Correlation(acs2, histogram = TRUE, pch = 19)

# 5. 상관계수 heatmap

library(corrplot)
## corrplot 0.84 loaded
corrplot(cor(acs2,use="na.or.complete"))

t-test

  • 독립표본 : sex(요인, 범주)의 2집단(수준, class)별 BMI의 평균 차이 검정
  • 보정된t-test : age까지 요인으로 추가
#### 1. 독립표본 t-test

# 데이터 준비

# 1. 독립성 생략

# 2. 정규성 생략

# 3. 등분산성 검정 :  집단별로 BMI를 인덱싱한 뒤, 등분산성 체크

var.test(acs[ acs$sex == "Male", ]$BMI, acs[acs$sex == "Female",]$BMI)
## 

##  F test to compare two variances

## 

## data:  acs[acs$sex == "Male", ]$BMI and acs[acs$sex == "Female", ]$BMI

## F = 0.82798, num df = 508, denom df = 254, p-value = 0.07756

## alternative hypothesis: true ratio of variances is not equal to 1

## 95 percent confidence interval:

##  0.6663069 1.0210005

## sample estimates:

## ratio of variances 

##          0.8279795
# 4. 독립표본 t-test

t.test(BMI ~ sex, data = acs, var.equal = T)
## 

##  Two Sample t-test

## 

## data:  BMI by sex

## t = -0.50823, df = 762, p-value = 0.6114

## alternative hypothesis: true difference in means is not equal to 0

## 95 percent confidence interval:

##  -0.6348532  0.3737344

## sample estimates:

## mean in group Female   mean in group Male 

##             24.19492             24.32548
#### 2. 보정된 t-test 

summary(aov(BMI ~ age + sex, data = acs)) # 기존 sex가 +뒤에 있으며, 이 것의 p-value 보는 것이 목적
##              Df Sum Sq Mean Sq F value   Pr(>F)    

## age           1    386   385.8  36.097 2.91e-09 ***

## sex           1     26    25.9   2.427     0.12    

## Residuals   761   8134    10.7                     

## ---

## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## 93 observations deleted due to missingness
#### 3. 대응표본 t-test

# 데이터 준비 : 같은 길이를 가진 데이터야한다.

Before_score = c(80,30,50,40,40,10,20,30,60,70)

After_score = c(95,40,60,45,40,15,20,25,67,90)



t.test(Before_score, After_score, paired=T)
## 

##  Paired t-test

## 

## data:  Before_score and After_score

## t = -2.8423, df = 9, p-value = 0.01933

## alternative hypothesis: true difference in means is not equal to 0

## 95 percent confidence interval:

##  -12.032489  -1.367511

## sample estimates:

## mean of the differences 

##                    -6.7

ANOVA

  • 1way : smoking요인(범주)의 3집단(수준, class)별 TG의 평균차이 검정
  • 2way : Dx, smoking
#### 1. 1way anova

# 1.숫자형으로 되어있다면 범주형으로 타입 변경 생략

# 2. 범주별 숫자의 boxplot, mean, sd 생략

# 3. 등분산성 검정 생략

# 4. anova

aov <- aov(TG ~ smoking, data= acs)

summary(aov)
##              Df  Sum Sq Mean Sq F value Pr(>F)  

## smoking       2   65695   32848   4.008 0.0185 *

## Residuals   839 6876082    8196                 

## ---

## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## 15 observations deleted due to missingness
# 5. 사후분석 Duncan

library(laercio)

LDuncan(aov, "group")
## 

##  DUNCAN TEST TO COMPARE MEANS 

##  

##  Confidence Level:  0.95 

##  Dependent Variable:  TG

##  Variation Coefficient:  72.28546 % 

##  

## 

##  Independent Variable:  smoking 

##   Factors   Means              

##   Smoker    136.490566037736 a 

##   Never     119.496913580247  b

##   Ex-smoker 116.65            b
#### 2. 2way anova

# 1. 2way anova

aov2 <- aov( TG ~ smoking + Dx, data = acs)

summary(aov2) # 두 요인 모두 유의
##              Df  Sum Sq Mean Sq F value   Pr(>F)    

## smoking       2   65695   32848   4.119   0.0166 *  

## Dx            2  201756  100878  12.651 3.87e-06 ***

## Residuals   837 6674326    7974                     

## ---

## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## 15 observations deleted due to missingness
aov2 <- aov( TG ~ Dx + smoking , data = acs)

summary(aov2) # 두 요인 모두 유의 but 수준차이가 난다...
##              Df  Sum Sq Mean Sq F value   Pr(>F)    

## Dx            2  166365   83182  10.432 3.35e-05 ***

## smoking       2  101087   50543   6.338  0.00185 ** 

## Residuals   837 6674326    7974                     

## ---

## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## 15 observations deleted due to missingness
# 2. interactioplot

par(mfrow=c(1,2))

mean.rm.na <- function(x) mean(x,na.rm=T) # interaction.plot에 들어가는 집계함수를 직접 정의***

interaction.plot(acs$smoking,acs$Dx, acs$TG,fun=mean.rm.na)

interaction.plot(acs$Dx,acs$smoking, acs$TG,fun=mean.rm.na)

R Notebook

칼럼명 확인과 변경

# 데이터 준비
iris2 <- iris
head(iris2)
# 칼럼명확인
names(iris2)
## [1] "Sepal.Length" "Sepal.Width"  "Petal.Length" "Petal.Width" 
## [5] "Species"
# 칼럼명 변경
names(iris2) <- c( "first", "second", "third", "fourth", "fifth")
names(iris2)
## [1] "first"  "second" "third"  "fourth" "fifth"

사용자 정의함수로 ( 반복적인 작업인 ) scaling 해보기

  • 정규분포에서 random한 숫자 10를 뽑아 4개의 칼럼 만들기
  • 그 값들을 scaling을 통해 0~1사이 값으로 만들기
  • x - min(x) / max(x) - min(x) => 분모가 가장 크므로 항상 1보다 작다.
# tibble을 활용한 데이터프레임 만들기
# library(tibble)
# 라이브러리 적용과 동시에 해당 함수 사용하기 package :: function
df <- tibble::tibble(
  a = rnorm(10),
  b = rnorm(10),
  c = rnorm(10),
  d = rnorm(10)
)
head(df)
summary(df)
##        a                 b                  c                  d          
##  Min.   :-1.5702   Min.   :-1.55135   Min.   :-1.97816   Min.   :-1.0510  
##  1st Qu.:-0.6281   1st Qu.:-0.52394   1st Qu.:-1.05749   1st Qu.:-0.2120  
##  Median : 0.4213   Median : 0.21181   Median :-0.23076   Median : 0.3042  
##  Mean   : 0.1132   Mean   : 0.06085   Mean   :-0.03817   Mean   : 0.3449  
##  3rd Qu.: 0.7566   3rd Qu.: 0.83831   3rd Qu.: 1.02052   3rd Qu.: 0.7530  
##  Max.   : 1.8824   Max.   : 1.32477   Max.   : 2.16831   Max.   : 1.7938
# scaling은 각 칼럼마다 해줘야하므로 반복적이다.
(df$a - min(df$a, na.rm = T))  /  (max(df$a, na.rm = T) -  min(df$a, na.rm = T))
##  [1] 0.447926340 0.002240828 0.680114530 0.583405776 0.214523807
##  [6] 1.000000000 0.570234402 0.000000000 0.721868086 0.655403845
df$a <- (df$a - min(df$a, na.rm = T))  /  (max(df$a, na.rm = T) -  min(df$a, na.rm = T))
df$b <- (df$b - min(df$b, na.rm = T))  /  (max(df$b, na.rm = T) -  min(df$b, na.rm = T))
df$c <- (df$c - min(df$c, na.rm = T))  /  (max(df$c, na.rm = T) -  min(df$c, na.rm = T))
df$d <- (df$d - min(df$d, na.rm = T))  /  (max(df$d, na.rm = T) -  min(df$d, na.rm = T))

head(df)
# range()함수는 [1]에는 최소값 [2]에는 최대값을 내포한다.
rng <- range( rnorm(10) , na.rm = T)
rng[1] # 최소값
## [1] -0.7202099
rng[2] # 최대값
## [1] 1.028419
# 사용자 정의함수로 scaling 정의하기

rescale <- function (x){
  rng <- range(x, na.rm = T)
  ( x- rng[1] ) / ( rng[2] - rng[1])
  
}

#테스트해보기
rescale(df$a)
##  [1] 0.447926340 0.002240828 0.680114530 0.583405776 0.214523807
##  [6] 1.000000000 0.570234402 0.000000000 0.721868086 0.655403845
rescale( c(0, 5, 10) )
## [1] 0.0 0.5 1.0
# 각 칼럼마다 적용해보기
df$a <- rescale(df$a)
df$b <- rescale(df$b)
df$c <- rescale(df$c)
df$d <- rescale(df$d)

head(df)
R Notebook

one-way ANOVA(요인 = 범주1개) 분석해보기

# 데이터 준비
anova_data<-data.frame(
  group=c(1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3),
  score=c(50.5, 52.1, 51.9, 52.4, 50.6, 51.4, 51.2, 52.2, 51.5, 50.8,47.5, 47.7, 46.6, 47.1, 47.2, 47.8, 45.2, 47.4, 45.0, 47.9,46.0, 47.1, 45.6, 47.1, 47.2, 46.4, 45.9, 47.1, 44.9, 46.2))

# 데이터 확인
head(anova_data)
str(anova_data)
## 'data.frame':    30 obs. of  2 variables:
##  $ group: num  1 1 1 1 1 1 1 1 1 1 ...
##  $ score: num  50.5 52.1 51.9 52.4 50.6 51.4 51.2 52.2 51.5 50.8 ...
# 1. 범주형 데이터를 (숫자로 나뉘어도) 문자형 변수로 변경***
# - as.character ( 칼럼인덱싱 ) 
anova_data$group <- as.character(anova_data$group)
str(anova_data)
## 'data.frame':    30 obs. of  2 variables:
##  $ group: chr  "1" "1" "1" "1" ...
##  $ score: num  50.5 52.1 51.9 52.4 50.6 51.4 51.2 52.2 51.5 50.8 ...
# 2. 집단별 종속변수(숫자형) 데이터의 boxplot 확인 및 tapply(종속변수인덱싱, 범주칼럼인덱싱, 집계함수)로 집단별 종속변수의 평균과 표준편차.
boxplot(score~group,data=anova_data)
tapply(anova_data$score,anova_data$group, mean)
##     1     2     3 
## 51.46 46.94 46.35
tapply(anova_data$score,anova_data$group, sd)
##         1         2         3 
## 0.6834553 1.0415800 0.7763876
# 3. 아노바분석 전, 3집단 등분산성 
# 3_1. bartlett.test ***
bartlett.test( score ~ as.factor(group), data= anova_data) #  0.4368
## 
##  Bartlett test of homogeneity of variances
## 
## data:  score by as.factor(group)
## Bartlett's K-squared = 1.6565, df = 2, p-value = 0.4368
# 3_2. userfriendlyscience패키지의 oneway()함수로 등분산성 테스트 및 바로 oneway 아노바 적용
# install.packages("userfriendlyscience")
library(userfriendlyscience)

#      등분산인지 확인
oneway(factor(anova_data$group),y=anova_data$score,fullDescribe=T,correction=T)
## ### Oneway Anova for y=score and x=group (groups: 1, 2, 3)
## 
## Omega squared: 95% CI = [.78; .92], point estimate = .88
## Eta Squared: 95% CI = [.8; .92], point estimate = .89
## 
##                                    SS Df    MS      F     p
## Between groups (error + effect) 156.3  2 78.15 108.81 <.001
## Within groups (error only)      19.39 27  0.72             
## 
## 
## ### Welch correction for nonhomogeneous variances:
## 
## F[2, 17.55] = 136.29, p < .001.
## 
## ### Brown-Forsythe correction for nonhomogeneous variances:
## 
## F[2, 23.76] = 108.81, p < .001.
#      one-way anova 시행
oneway.test(score~group,data=anova_data,var.equal = T)
## 
##  One-way analysis of means
## 
## data:  score and group
## F = 108.81, num df = 2, denom df = 27, p-value = 1.199e-13
# 4. oneway 아노바 분석 aov( 종속변수 ~ 요인, data= ) : 그룹간 변동, 그룹내변동(Residual) 만 계산
# - H0 : Ma = Mb = Mc ( 모두 평균이 동일 )
# - Sum of Squares = 변동 = 편차(X-m)의 제곱 -> 제곱을 해야 합이 0이 안되므로.
# - group = 요인1에 대한 그룹간 변동 = ( 전체평균 - 그룹의 평균의  ) 의 제곱
# - Residuals = error = 그룹내 변동 =( 각 그룹별 x - 각 그룹별 평균) 의 제곱
# - aov()결과는 p-value가 안나온다.
aov( score ~ group, data = anova_data) # Sum of Square = 변동, Deg. of Freedom -> 변동의 평균 구해야하므로 필요.
## Call:
##    aov(formula = score ~ group, data = anova_data)
## 
## Terms:
##                   group Residuals
## Sum of Squares  156.302    19.393
## Deg. of Freedom       2        27
## 
## Residual standard error: 0.8475018
## Estimated effects may be unbalanced
# 5. summaray(  aov())를 통한  ANOVA 테이블 도출 : 여기서 p-value가 나온다.
# - Df : 자유도 -> F분포를 결정 + 변동들의 평균구할때 분모로 나눠짐
# - Sum Sq : 변동들
# - Mean sq : 변동들의 평균
# - F value : F검정 통계량 = effect(그룹간 변동의 평균) / error(그룹내 변동의 평균)
summary( aov( score ~ group, data = anova_data)  ) # 1.2e-13
##             Df Sum Sq Mean Sq F value  Pr(>F)    
## group        2 156.30   78.15   108.8 1.2e-13 ***
## Residuals   27  19.39    0.72                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# 6. 사후분석1 : laercio 패키지의 LDuncan ( 3집단 비교시 어느것이 차이가 있는지 알아야함)
# - aov()의 결과를 넣는다. 
# install.packages("laercio")
library(laercio)

a1 <- aov( score ~ group, data = anova_data)
LDuncan( a1, "group" ) # 1번 그룹만 차이가 있는 그룹으로 나왔다.
## 
##  DUNCAN TEST TO COMPARE MEANS 
##  
##  Confidence Level:  0.95 
##  Dependent Variable:  score
##  Variation Coefficient:  1.75648 % 
##  
## 
##  Independent Variable:  group 
##   Factors Means   
##   1       51.46 a 
##   2       46.94  b
##   3       46.35  b
# 7. 사후분석2 : 튜키 정직유의검정(TukeyHSD) 및 튜키검정에 의한 평균 차이에 대한 95% 신뢰구간 plot
#    마찬가지로, aov()결과가 들어간다.
#    반드시 칼럼이 문자형이어야한다!
#    자동으로 Holm-Bonferroni correction을 통해 조절된 p-value ( p * nC2 )
TukeyHSD(aov(score~as.character(group),data=anova_data)) # 1-2 ,1-3 만 차이.. 1만 다른 집단!
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = score ~ as.character(group), data = anova_data)
## 
## $`as.character(group)`
##      diff       lwr        upr     p adj
## 2-1 -4.52 -5.459735 -3.5802652 0.0000000
## 3-1 -5.11 -6.049735 -4.1702652 0.0000000
## 3-2 -0.59 -1.529735  0.3497348 0.2813795
plot(TukeyHSD(aov(score~as.character(group),data=anova_data)))

COPD데이터로 one-way 연습 (no quiz)

  • 3집단을 가진 범주 : SMK_STAT_TYPE
  • 종속변수 : HMG
# 데이터 준비
data <- read.csv("week4/4주차_코드/COPD_Lung_Cancer.csv")
str(data)
## 'data.frame':    944 obs. of  20 variables:
##  $ PERSON_ID            : int  10000065 10000183 10000269 10000471 10000788 10001096 10001122 10001260 10001546 10001919 ...
##  $ SEX                  : int  1 1 1 1 2 2 1 1 1 1 ...
##  $ DTH                  : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ CTRB_PT_TYPE_CD      : int  8 9 8 1 7 3 10 10 8 8 ...
##  $ BMI                  : num  25.7 22.8 24.5 21.6 25.6 ...
##  $ BP_LWST              : int  90 100 70 100 54 60 100 73 90 70 ...
##  $ BLDS                 : int  112 105 76 70 113 137 89 98 73 233 ...
##  $ TOT_CHOLE            : int  177 177 156 228 199 182 243 284 221 133 ...
##  $ HMG                  : num  12.2 15.7 13.1 14 12.1 12 17 12.1 15 8.7 ...
##  $ FMLY_CANCER_PATIEN_YN: int  1 1 1 NA 1 1 1 1 1 1 ...
##  $ SMK_STAT_TYPE        : int  1 1 1 1 1 1 1 1 1 1 ...
##  $ DRNK_HABIT           : int  1 5 1 1 1 1 1 1 1 1 ...
##  $ EXERCI_FREQ          : int  1 1 1 1 1 1 1 2 1 1 ...
##  $ lungC                : int  0 0 1 0 0 0 0 0 0 0 ...
##  $ copd                 : int  0 1 1 1 0 0 0 0 0 1 ...
##  $ Asthma               : int  0 1 0 0 1 0 1 1 0 1 ...
##  $ DM                   : int  1 1 1 1 1 0 1 1 1 1 ...
##  $ Tub                  : int  0 0 1 0 0 0 0 0 0 0 ...
##  $ before_op_score      : int  44 44 37 50 31 34 31 45 35 43 ...
##  $ after_op_score       : int  52 53 60 44 43 49 41 51 59 42 ...
# 데이터 확인
tapply(data$HMG, data$SMK_STAT_TYPE, mean, na.rm=T)
##        1        2        3 
## 13.00319 13.78158 13.34242
tapply(data$HMG, data$SMK_STAT_TYPE, sd, na.rm=T)
##        1        2        3 
## 1.349230 1.600059 1.393871
# 1. 범주형인데 int/num 타입으로 된 것의 인덱스만 *** 가져와서, for문을 통해 
#    반복작업인 as.character로 변형해서 덮어씌우기*************8
index <- c(2, 3, 4, 10:18)
for (i in index) {
  data[,i] <- as.character( data[,i] )
}
str(data)
## 'data.frame':    944 obs. of  20 variables:
##  $ PERSON_ID            : int  10000065 10000183 10000269 10000471 10000788 10001096 10001122 10001260 10001546 10001919 ...
##  $ SEX                  : chr  "1" "1" "1" "1" ...
##  $ DTH                  : chr  "0" "0" "0" "0" ...
##  $ CTRB_PT_TYPE_CD      : chr  "8" "9" "8" "1" ...
##  $ BMI                  : num  25.7 22.8 24.5 21.6 25.6 ...
##  $ BP_LWST              : int  90 100 70 100 54 60 100 73 90 70 ...
##  $ BLDS                 : int  112 105 76 70 113 137 89 98 73 233 ...
##  $ TOT_CHOLE            : int  177 177 156 228 199 182 243 284 221 133 ...
##  $ HMG                  : num  12.2 15.7 13.1 14 12.1 12 17 12.1 15 8.7 ...
##  $ FMLY_CANCER_PATIEN_YN: chr  "1" "1" "1" NA ...
##  $ SMK_STAT_TYPE        : chr  "1" "1" "1" "1" ...
##  $ DRNK_HABIT           : chr  "1" "5" "1" "1" ...
##  $ EXERCI_FREQ          : chr  "1" "1" "1" "1" ...
##  $ lungC                : chr  "0" "0" "1" "0" ...
##  $ copd                 : chr  "0" "1" "1" "1" ...
##  $ Asthma               : chr  "0" "1" "0" "0" ...
##  $ DM                   : chr  "1" "1" "1" "1" ...
##  $ Tub                  : chr  "0" "0" "1" "0" ...
##  $ before_op_score      : int  44 44 37 50 31 34 31 45 35 43 ...
##  $ after_op_score       : int  52 53 60 44 43 49 41 51 59 42 ...
# 2. 3집단 등분산성 검정
bartlett.test( HMG ~ as.factor(SMK_STAT_TYPE), data = data) # 0.3899
## 
##  Bartlett test of homogeneity of variances
## 
## data:  HMG by as.factor(SMK_STAT_TYPE)
## Bartlett's K-squared = 4.3473, df = 2, p-value = 0.1138
# 3. 3집단 정규성 검정
unique(data$SMK_STAT_TYPE) # "1" "3" "2" NA 
## [1] "1" "3" "2" NA
data1 <- data[ data$SMK_STAT_TYPE == "1", ]
data2 <- data[ data$SMK_STAT_TYPE == "2", ]
data3 <- data[ data$SMK_STAT_TYPE == "3", ]

shapiro.test(data1$HMG)
## 
##  Shapiro-Wilk normality test
## 
## data:  data1$HMG
## W = 0.99681, p-value = 0.1639
shapiro.test(data2$HMG) # 0.002898 정규성 만족안하지만, 한다고 가정
## 
##  Shapiro-Wilk normality test
## 
## data:  data2$HMG
## W = 0.94628, p-value = 0.002898
shapiro.test(data3$HMG)
## 
##  Shapiro-Wilk normality test
## 
## data:  data3$HMG
## W = 0.99057, p-value = 0.7168
# 3. 1way anova
one_way <- aov(HMG ~ SMK_STAT_TYPE, data=data)
summary(one_way) # 3.97e-06 -> 평균차이가 명확히 차이남
##                Df Sum Sq Mean Sq F value   Pr(>F)    
## SMK_STAT_TYPE   2   47.8  23.915   12.61 3.97e-06 ***
## Residuals     892 1691.3   1.896                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 49 observations deleted due to missingness
# 4. 사후검정
library(laercio)
LDuncan(one_way, "group") # a, b, c  3집단 모두 평균이 다른 것으로 나오
## 
##  DUNCAN TEST TO COMPARE MEANS 
##  
##  Confidence Level:  0.95 
##  Dependent Variable:  HMG
##  Variation Coefficient:  10.50583 % 
##  
## 
##  Independent Variable:  SMK_STAT_TYPE 
##   Factors Means               
##   2       13.7815789473684 a  
##   3       13.3424242424242  b 
##   1       13.0031944444444   c

2way ANOVA 와 interaction plot

  • 종속변수 : BMI
  • 요인 : DM 과 SMK_STAT_TYPE
# 각 요인별 boxplot
par(mfrow=c(1,2))
boxplot(BMI ~ DM,data=data, 
        boxwex = 0.7,
        main="BMI~DM", 
        col = c("yellow","orange", "green"))
boxplot(BMI ~ SMK_STAT_TYPE,data=data, 
        boxwex = 0.5,
        main="BMI~Smkoing", 
        col = c("blue", "coral"))

# 요인1(DM이력-3가지집단), 요인2(흡연이력-3가지집단)에 따른 BMI 평균의 차이
two_way <- aov( BMI ~ DM + SMK_STAT_TYPE ,data = data)
summary(two_way) # DM : 1.66e-05 *** , SMK_STAT_TYPE : 0.136
##                Df Sum Sq Mean Sq F value   Pr(>F)    
## DM              1    199  198.96  18.748 1.66e-05 ***
## SMK_STAT_TYPE   2     42   21.19   1.997    0.136    
## Residuals     896   9509   10.61                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 44 observations deleted due to missingness
# 요인2개를 순서바꿔서
two_way2 <- aov( BMI ~ SMK_STAT_TYPE + DM  ,data = data)
summary(two_way2) # DM :  3.1e-05 ***, SMK_STAT_TYPE : 0.0746
##                Df Sum Sq Mean Sq F value  Pr(>F)    
## SMK_STAT_TYPE   2     55   27.63   2.604  0.0746 .  
## DM              1    186  186.08  17.534 3.1e-05 ***
## Residuals     896   9509   10.61                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 44 observations deleted due to missingness
# interaction plot
# - interaction.plot( x축-요인1  -  범례 - 요인2  -  종속변수)
# 요인1-종속변수에  요인2가 영향을 끼치는지 보기
par(mfrow=c(1,2))
interaction.plot(data$SMK_STAT_TYPE, data$DM, data$BMI)
interaction.plot(data$DM, data$SMK_STAT_TYPE, data$BMI)

4-2. Rmarkdown T-test

2019. 2. 20. 15:47
R Notebook

등분산성, 정규성 검정 후 t-test 종류별로 해보기

# 데이터 준비
t_data <- data.frame(
  group = c(1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2),
  score = c(100,100,80,50,40,90,20,50,50,70,30,40,30,70,30,40,30,60,30,60),
  age = c(70,70,70,60,50,60,60,60,50,50,20,30,20,20,25,10,13,10,10,10)
)

head(t_data)
# 2집단(2범주)별 따로 데이터 인덱싱 -> 그래야 등분산성 var.test 및 t.test :  
# - var.test, t.test ( 집단1의 데이터, 집단2의 데이터)
# 범주별 특정범주만 가져오기 -> 행인덱싱 자리에 넣기
t_data1 <- t_data[ t_data$group == 1, ]
t_data2 <- t_data[ t_data$group == 2, ]


# t-test 전에 확인사항 3가지 중 2가지 - 1. 등분산성 2. 정규성 => 둘다 p-value 0.05보다 커야 만족

#### 1. 등분산성 확인후 독립표본 T-검정
####    H0 : 두 집단간 평균의 차이가 없다.
# 1_1. 등분산성 by F검정( = effect(그룹간 변동의 평균) / error(그룹내 변동의 평균) )
var.test( t_data1$score , t_data2$score ) # 0.1093 -> 2그룹간 등분산 H0 기각x -> 등분산성 만족
## 
##  F test to compare two variances
## 
## data:  t_data1$score and t_data2$score
## F = 3.0787, num df = 9, denom df = 9, p-value = 0.1093
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##   0.7647065 12.3948431
## sample estimates:
## ratio of variances 
##           3.078704
# 1_2. 등분산성 확인후 t-test는 var.equal = T 옵션을 넣어야한다.
t.test( t_data1$score , t_data2$score , var.equal = TRUE) #  0.03199 : 평균차이 유의
## 
##  Two Sample t-test
## 
## data:  t_data1$score and t_data2$score
## t = 2.3247, df = 18, p-value = 0.03199
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##   2.213727 43.786273
## sample estimates:
## mean of x mean of y 
##        65        42
# 1_3. 등분산성 옵션을 안주면 결과가 달라진다. t.test default가 등분산성 = FALSE => Welch t-test
t.test( t_data1$score , t_data2$score, var.equal = F) # 0.03531
## 
##  Welch Two Sample t-test
## 
## data:  t_data1$score and t_data2$score
## t = 2.3247, df = 14.289, p-value = 0.03531
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##   1.819881 44.180119
## sample estimates:
## mean of x mean of y 
##        65        42
# 1_4. t.test()함수 다른 사용법
# : t.test( 종속변수(관측치) ~ 독립변수(범주칼럼명, 요인), dataframe, 유형(등분산성, 대응표본 등))
t.test( score ~ group, data = t_data, var.equal = T)
## 
##  Two Sample t-test
## 
## data:  score by group
## t = 2.3247, df = 18, p-value = 0.03199
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##   2.213727 43.786273
## sample estimates:
## mean in group 1 mean in group 2 
##              65              42
#### 2. 정규성 검정의 3가지 방법 : 0.05보다 커서 H0 기각 안되어야 만족

# 2_1. shapiro-Wilk test 
shapiro.test(t_data1$score) # 0.4604 -> 정규성 만족
## 
##  Shapiro-Wilk normality test
## 
## data:  t_data1$score
## W = 0.93126, p-value = 0.4604
shapiro.test(t_data2$score) # 0.006914 -> H0기각 -> 정규성x -> Mann whitney or Wilcoxon rank-sum?
## 
##  Shapiro-Wilk normality test
## 
## data:  t_data2$score
## W = 0.77358, p-value = 0.006914
# 2_2. nortest 패키지의 ad.test
# install.packages("nortest")
library(nortest)
ad.test(t_data1$score) # 0.4458
## 
##  Anderson-Darling normality test
## 
## data:  t_data1$score
## A = 0.32911, p-value = 0.4458
ad.test(t_data2$score) # 0.006013
## 
##  Anderson-Darling normality test
## 
## data:  t_data2$score
## A = 1.0264, p-value = 0.006013
# 2_3. Kolmogrov-Smirnov test
# ks.test (test, pnorm, mean (test), sd (test))
# pnorm : 누적 정규 분포
?ks.test
## starting httpd help server ... done
ks.test(t_data1$score, "pnorm", mean(t_data1$score), sd(t_data1$score)) # 0.7726
## Warning in ks.test(t_data1$score, "pnorm", mean(t_data1$score),
## sd(t_data1$score)): ties should not be present for the Kolmogorov-Smirnov
## test
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  t_data1$score
## D = 0.20947, p-value = 0.7726
## alternative hypothesis: two-sided
ks.test(t_data2$score, "pnorm", mean(t_data2$score), sd(t_data2$score)) # 0.41
## Warning in ks.test(t_data2$score, "pnorm", mean(t_data2$score),
## sd(t_data2$score)): ties should not be present for the Kolmogorov-Smirnov
## test
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  t_data2$score
## D = 0.28071, p-value = 0.41
## alternative hypothesis: two-sided
ks.test(t_data1$score, pnorm)
## Warning in ks.test(t_data1$score, pnorm): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  t_data1$score
## D = 1, p-value = 4.122e-09
## alternative hypothesis: two-sided
ks.test(t_data2$score, pnorm)
## Warning in ks.test(t_data2$score, pnorm): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  One-sample Kolmogorov-Smirnov test
## 
## data:  t_data2$score
## D = 1, p-value = 4.122e-09
## alternative hypothesis: two-sided
ks.test(t_data2$score, pnorm)[2]$p.value
## Warning in ks.test(t_data2$score, pnorm): ties should not be present for
## the Kolmogorov-Smirnov test
## [1] 4.122307e-09
#### 3. 대응표본 T-검정 (실험전/후를 범주로 주어진 상태라 가정)
# 2_1. 대응표본은 정규성 검사가 필수이다.
# 2_1_1. 샤피로 테스트
shapiro.test(t_data1$score) # 0.4604 => H0 기각x => 정규성 만족
## 
##  Shapiro-Wilk normality test
## 
## data:  t_data1$score
## W = 0.93126, p-value = 0.4604
shapiro.test(t_data2$score) # 0.006914 => H0 기각 => 정규성 x => 비모수적 방법인 
## 
##  Shapiro-Wilk normality test
## 
## data:  t_data2$score
## W = 0.77358, p-value = 0.006914
# 2_2. 대응표본일 경우 옵션 paired = T
t.test( t_data1$score, t_data2$score, paired = TRUE) # 0.05106
## 
##  Paired t-test
## 
## data:  t_data1$score and t_data2$score
## t = 2.2493, df = 9, p-value = 0.05106
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.1311024 46.1311024
## sample estimates:
## mean of the differences 
##                      23
# 2_3. t.test 다른 사용법
t.test( score ~ group, data = t_data, paired = TRUE) # 0.05106
## 
##  Paired t-test
## 
## data:  score by group
## t = 2.2493, df = 9, p-value = 0.05106
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.1311024 46.1311024
## sample estimates:
## mean of the differences 
##                      23
#### 3. 보정된 t검정 : 요인1에 대한 t.test가 끝난 뒤 -> 해당 요인(범주)이외에 다른 변수까지 같이 고려한다.
#### - method로서 선형회귀 -> 2way-ANOVA를 2집단에 적용해서, 분산분석으로 -> 2집단의 평균차이의 유의성을 검증(p-value값이 t-test와 똑같이 나온다.
#### - 그러기 위해선 lm()의 선형회귀로 기울기+절편 결과값을 summary()에 넣어, ANOVA테이블 형태를 얻어야한다.

# 3_1. 1개 요인(t-test와 같은 모델)에 대해 선형회귀->ANOVA 테이블에서 독립표본 t-test와 같은 결과값 얻기
#  선형회귀한 결과값을 분산분석(2way-요인2개 가능)을 2집단에 적용해 -> 평균 차이를 알아본다
mod1 <- lm( score ~ group , data = t_data) 
anova(mod1) # 0.03199 : 아노바 테이블 상 독립표본 t-test와 같은 p 결과값이 나온다.
t.test( t_data1$score , t_data2$score , var.equal = TRUE) # 0.03199
## 
##  Two Sample t-test
## 
## data:  t_data1$score and t_data2$score
## t = 2.3247, df = 18, p-value = 0.03199
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##   2.213727 43.786273
## sample estimates:
## mean of x mean of y 
##        65        42
# 3_2. t-test에서 할 수 없는, 새로운 요인(숫자형)을 추가해서 lm->anova 테이블로 p값을 보자.
#      숫자형 요인은 단독으로는 t-test를 할 수 없다(집단 못나눔). 보정시에만 들어감
#      보정변수를 + 앞에 주는 것과 뒤에 주는 것과 결과가 다르다! ㅠㅠ;
#      예제는 추가한 요인 age를 group 앞에 주었다. 그대로 해보자.
mod2 <- lm( score ~ age + group, data = t_data)
anova(mod2) # 0.58633 : age를 앞쪽 요인으로 추가해줬더니, group에 의한 차이는 유의미하지않았다 -> 아! 기존 t-test에서 유의미한 것은 group 때문이 아니라 age땜에 난 것임을 알 수 있다.
# 3_3. 다른 방식 : aov() -> summary()
#      기존 방식 : 기존 lm() -> anova()
summary( aov( score ~ group , data = t_data) ) # 0.032
##             Df Sum Sq Mean Sq F value Pr(>F)  
## group        1   2645  2645.0   5.404  0.032 *
## Residuals   18   8810   489.4                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary( aov( score ~ age + group , data = t_data) ) # 0.586
##             Df Sum Sq Mean Sq F value Pr(>F)  
## age          1   3405    3405   7.322  0.015 *
## group        1    143     143   0.308  0.586  
## Residuals   17   7906     465                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# 3_4. my) 만약 age + group 의 자리를 바꾸면 결과값이 달라진다.
summary( aov( score ~ age + group , data = t_data) ) # 0.586
##             Df Sum Sq Mean Sq F value Pr(>F)  
## age          1   3405    3405   7.322  0.015 *
## group        1    143     143   0.308  0.586  
## Residuals   17   7906     465                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary( aov( score ~ group + age , data = t_data) ) # 0.029 *
##             Df Sum Sq Mean Sq F value Pr(>F)  
## group        1   2645  2645.0   5.687  0.029 *
## age          1    904   903.6   1.943  0.181  
## Residuals   17   7906   465.1                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

연습해보기

  • COPD 데이터를 가져와서, lungC(폐암)에 대한 모든 변수(요인, id칼럼만 제외! )들 종속변수로을 자동검정해보기
  • mytable( 요인 ~ 종속변수 시리즈 )
  • lungC(폐암) 여부(이력, 2집단으로 이루어진 범주)이 BMI(종속변수)에 주는 영향에 대한 t-test(2집단의 평균차이 유의성)확인해보기
# 데이터 준비
getwd()
## [1] "C:/Users/is2js/R_da/myR"
data <- read.csv("week4/4주차_코드/COPD_Lung_Cancer.csv")
head(data)
# 폐암칼럼에 대한 다른칼럼들을 모두 검정해보기
# - 칼럼명이 적히는 곳에 . : 모든 칼럼을 의미 ,  .-칼럼명 : 해당칼럼 제외 모든 칼럼을 의미!!***
library(moonBook)
mytable( lungC ~ .-PERSON_ID, data = data)
## 
##           Descriptive Statistics by 'lungC'          
## ______________________________________________________ 
##                             0            1         p  
##                          (N=870)       (N=74)   
## ------------------------------------------------------ 
##  SEX                                             0.002
##    - 1                 350 (40.2%)   44 (59.5%)       
##    - 2                 520 (59.8%)   30 (40.5%)       
##  DTH                                             1.000
##    - 0                 864 (99.3%)  74 (100.0%)       
##    - 1                  6 ( 0.7%)     0 ( 0.0%)       
##  CTRB_PT_TYPE_CD        5.7 ±  3.4   5.3 ±  3.5  0.307
##  BMI                   22.7 ±  3.3  22.8 ±  2.9  0.710
##  BP_LWST               81.0 ± 12.1  82.4 ± 11.5  0.326
##  BLDS                  102.4 ± 33.2 97.9 ± 26.6  0.178
##  TOT_CHOLE             200.3 ± 39.9 193.1 ± 35.6 0.132
##  HMG                   13.1 ±  1.4  13.2 ±  1.5  0.503
##  FMLY_CANCER_PATIEN_YN                           0.805
##    - 1                 752 (95.4%)   63 (96.9%)       
##    - 2                  36 ( 4.6%)   2 ( 3.1%)        
##  SMK_STAT_TYPE                                   0.654
##    - 1                 670 (80.7%)   54 (77.1%)       
##    - 2                  69 ( 8.3%)   8 (11.4%)        
##    - 3                  91 (11.0%)   8 (11.4%)        
##  DRNK_HABIT                                      0.495
##    - 1                 673 (80.0%)   52 (74.3%)       
##    - 2                  47 ( 5.6%)   6 ( 8.6%)        
##    - 3                  44 ( 5.2%)   6 ( 8.6%)        
##    - 4                  27 ( 3.2%)   1 ( 1.4%)        
##    - 5                  50 ( 5.9%)   5 ( 7.1%)        
##  EXERCI_FREQ                                     0.051
##    - 1                 674 (80.4%)   48 (68.6%)       
##    - 2                  68 ( 8.1%)   10 (14.3%)       
##    - 3                  27 ( 3.2%)   3 ( 4.3%)        
##    - 4                  9 ( 1.1%)    3 ( 4.3%)        
##    - 5                  60 ( 7.2%)   6 ( 8.6%)        
##  copd                                            0.000
##    - 0                 534 (61.4%)   29 (39.2%)       
##    - 1                 336 (38.6%)   45 (60.8%)       
##  Asthma                                          0.006
##    - 0                 422 (48.5%)   23 (31.1%)       
##    - 1                 448 (51.5%)   51 (68.9%)       
##  DM                                              0.012
##    - 0                 335 (38.5%)   40 (54.1%)       
##    - 1                 535 (61.5%)   34 (45.9%)       
##  Tub                                             0.012
##    - 0                 807 (92.8%)   62 (83.8%)       
##    - 1                  63 ( 7.2%)   12 (16.2%)       
##  before_op_score       40.1 ±  6.0  40.1 ±  5.8  0.914
##  after_op_score        50.1 ±  6.0  50.0 ±  6.2  0.907
## ------------------------------------------------------
# t-test 전 준비하기(범주(이력, 여부)별로 데이터 가르기)
data_lung0 <- data[ data$lungC == 0, ]
data_lung1 <- data[ data$lungC == 1, ]

# 1. lungC 여부에 따른 BMI의 등분산성 검사
var.test(data_lung0$BMI, data_lung1$BMI) # 0.1736 -> 등분산성 만족 -> var.equal = T 넣을 것
## 
##  F test to compare two variances
## 
## data:  data_lung0$BMI and data_lung1$BMI
## F = 1.2864, num df = 869, denom df = 73, p-value = 0.1736
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.8933904 1.7632502
## sample estimates:
## ratio of variances 
##           1.286364
# 2. 각각 정규성 검사
shapiro.test( data_lung0$BMI ) # 0.297
## 
##  Shapiro-Wilk normality test
## 
## data:  data_lung0$BMI
## W = 0.99777, p-value = 0.297
shapiro.test( data_lung1$BMI ) # 0.1953 -> 정규성 만족
## 
##  Shapiro-Wilk normality test
## 
## data:  data_lung1$BMI
## W = 0.97698, p-value = 0.1953
# 3. 독립표본 t-test
t.test( data_lung0$BMI, data_lung1$BMI, var.equal = T) # 0.7096 
## 
##  Two Sample t-test
## 
## data:  data_lung0$BMI and data_lung1$BMI
## t = -0.37253, df = 942, p-value = 0.7096
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.9266823  0.6309930
## sample estimates:
## mean of x mean of y 
##  22.70189  22.84973
t.test( BMI ~ lungC , data = data, var.equal = T ) # 0.7096 ( 종속변수 ~ 요인(범주, 이력, 여부))
## 
##  Two Sample t-test
## 
## data:  BMI by lungC
## t = -0.37253, df = 942, p-value = 0.7096
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.9266823  0.6309930
## sample estimates:
## mean in group 0 mean in group 1 
##        22.70189        22.84973
# 4. 대응표본 t-test 
# t.test ( data_lung0$BMI, data_lung1$BMI, paired = T ) # 데이터가 갯수가 달라서, 실험 전/후의 데이터 가 아님



# 5. 보정된 t-test
# 5_1. 요인1개
summary( aov( BMI ~ lungC , data = data)) # 0.71 
##              Df Sum Sq Mean Sq F value Pr(>F)
## lungC         1      1   1.491   0.139   0.71
## Residuals   942  10118  10.741
anova( lm( BMI ~ lungC, data = data)) # 0.7096
# 5_2. 요인 1개 더 추가(숫자형)
summary( aov( BMI ~ TOT_CHOLE + lungC , data = data)) # TOT_CHOLE 0.00121, lung_C 0.60168
##              Df Sum Sq Mean Sq F value  Pr(>F)   
## TOT_CHOLE     1    112  111.62  10.535 0.00121 **
## lungC         1      3    2.89   0.273 0.60168   
## Residuals   931   9864   10.59                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 10 observations deleted due to missingness
summary( aov( BMI ~  lungC + TOT_CHOLE , data = data)) #lung_C 0.71773, TOT_CHOLE 0.00112
##              Df Sum Sq Mean Sq F value  Pr(>F)   
## lungC         1      1    1.39   0.131 0.71773   
## TOT_CHOLE     1    113  113.12  10.677 0.00112 **
## Residuals   931   9864   10.59                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 10 observations deleted due to missingness

02. 19 분석 피드백

2019. 2. 20. 09:58
  1. 필요한 자료를 몽땅가져오기 위해 inner join 한다면 -> 메인 테이블A의 key로 계속 B, C, ... key 연결
    순차적으로 할 시, B에 대해 또 C가 왕창 생겨서 엄청 뿔어난다.

  2. 각 테이블의 row가 다 똑같으면 inner join해도 상관없지만, 각각 row가 다른 상황 -> row가 제일 많은 메인테이블(Person테이블)left join으로 끼워넣어야함.
    아마도 메인 테이블이 가장 row가 많다. 각각의 부 테이블은 master테이블로서 row가 별로 없을 것이다.

  3. 데이터 그래프로 특이점이 발견되었다면, 그 데이터 세부적으로 더 분석해보기

ANOVA의 정의

ANalysis Of VAriance = 분산분석

  • 같은 카테고리라도 데이터(인종, 국가)마다 variance(분산) = variation(변동)의 평균이 다르므로 연구를 한다.
    ex> 전 세계 사람들의 BMI의 분산이 같다? -> 연구할 필요가 없다. / 같은 BMI라도 연구하는 곳마다 분산이 다르기 때문에, 연구할 가치가 있다.
  • 통계학은 variation(변동) = 분산이 우연에 의한 error인지 / effect있는 분산인지를 찾아내는 것이다.
  • 전체 변동 = factor A에 의한 변동 + factor B에 의한 변동 + ... + error가 다 포함되어있다. 이 전체 변동을 분할하여 어떤 요인에 의한 변동error에 비해 의미있는지를 밝힌다.

ANOVA를 이용한 3집단 비교( 그림내 분산->변동으로 수정해야함 )

  • 대 전제 : H0 : Ma = Mb = Mc (3집단의 평균이 모두 같다)

  • 3집단 이상부터는 분산 차이으로 -> 평균 차이를 해석한다.

    -위 그림처럼, 3집단의 평균차이는 명확하게 나타날 수 있다. 하지만 2집단간의 평균차이를 확인하기 위해서 각각을 3C2만큼 각각을 t-test해야한다.
    -분산분석을 활용해서 한번에 3집단 차이를 확인하는 원리는 아래와 같다.

    1) 3집단의 평균값을 찾는다.

    2) 3집단 평균 - 각 집단의 평균 (빨간색)의 차이를 보자.
    각 집단끼리 평균차이를 비교하는 것이 아니라, 전체 평균을 기준한 뒤 거기서의 차이만 비교하면 = 3집단의 평균차이도 비교 가능해진다.
    이것을 제곱해서 더하면, 분산의 개념이 된다. (분산 = 평균에서 떨어진 정도)

    3) 오른쪽 3집단간 평균의 차이가 별로 안나는 것과 비교했을 때,
    각 거리(편차)의 제곱(변동)을 다 더하면, 왼쪽 3집단이 훨씬 값이 크다 = 분산분석시 차이가 더 유의하게 나타난다.

  • 좀 더 자세히 알아보자.

    1) 3집단의 평균, 전체 평균이 있다.

    2) 위에서 말한 것과 유사하게 전체 변동(TSS) = 그룹내 변동 + 그룹간 변동으로 쪼갤 수 있다.
    그룹내 변동 : 각 그룹의 평균으로부터 떨어진 거리(의 제곱) = error
    그룹간 변동 : 전체평균을 기준으로 그룹의 평균까지의 거리(의 제곱) = effect
    전체 변동 = 그룹내 변동 + 그룹간 변동


    3) 그룹내 변동은 error이므로 적을 수록, 그룹간 변동은 effect이므로 높을 수록 3집단의 평균차이가 유의미해진다.
    전체 변동F검정F = effect(그룹간 변동)의 평균 / error(그룹내 변동)의 평균으로 측정되므로, error에 비해 effect가 얼마나 있는지로 구할 수 있다.

ANOVA(분산분석)의 종류

3개 집단 이상의 차이를 알아보는 ANOVA분석도 2개 집단의 비교인 독립표본 t-검정과 마찬가지로 아래 3가지 가정을 만족시켜야 시행할 수 있다.
1) 독립성
2) 정규성
3) 등분산성

  1. One way Anova(일원배치 분산분석) : 하나의 요인에 대한 3집단 이상의 분석

    • factor(독립변수) 1개 와 종속변수1개에서의 3집단 평균 비교
    • H0 : 3 집단간의 평균이 같다(차이없다, =) Ma = Mb = Mc
    • 전체변동 = factor 1에 의한 그룹간 변동(effect) + 그룹내 변동(error)
    • 자유도(df, Degree of freedom) : n개의 데이터 중 n-1개만 있으면 1개는 자동으로 알 수 있다. 이 때, 몇 개만 있으면 데이터를 알 수 있을까?에서 그 몇 개에 해당한다.
      ex> (1차원) 10개의 데이터 -> 9개만 있으면 다 알 수 있다.
      ex> (2차원 교차표) -> mxn행렬 -> m-1 * n-1 이 자유도이다.( 교차표에서 바깥쪽 합계는 미리 알고 있다고 가정하고 생각하면 된다.)
    • 분산분석의 과정 in SPSS
      1) 데이터에 따라 자유도가 결정
      2) 자유도에 의해 F분포가 정해짐
      3) 아노바 테이블에 의해 분석결과가 나옴 in SPSS
      (1) 그룹간(Between Groups) + 그룹내(Within Groups) = 전체(Total)변동의 값이 Sum of Square(편차를 제곱한 합=변동)으로 나타난다.
      (2) df(자유도)가 나타난다. 전체 -> 60개 데이터 -> 59 / 그룹간->3그룹이면 2 / 그룹내-> 전체자유도 59 - 그룹간 자유도 2 = 57 (그룹내 자유도 직접 구하는 법 모르겠음 )
      (3) Mean Sqaure = 변동들의 평균 = SS(변동들 합) / 자유도(n과 비슷)
      (4) F = 그룹간 변동들의 평균(MeanSquare) / 그룹내 변동들의 평균(MS)
      (5) Sig. = p-value 결정
      (6) 1), 2) 에서 정해진 F분포상에서 H0가 기각될지 안될지 판단함
    • 사후분석(Post-Hoc test = Multiple Comparison)
      1) H0( 집단간 평균차이 없다) 가 기각되었음 => 적어도 차이가 나는 집단이 하나는 존재 하는데, 어느 집단인지 구체적으로 알기 위한 것
      2) R상에서 알파벳이 다르게 나타나는 1개가 차이가 나는 집단이다
      ex> a b b : a만 평균차이가 나는 집단
    • 사후분석의 방법
      (1) 본페로니(가장 기본적이고 보수적) : 2개 집단끼리 nC2번 t-test를 하는데, 그때의 p-value의 유의수준을 0.05/n 으로 본다. 혹은 t-test에서 나온 p-value \* n 을 0.05와 비교한다.
      (2) 좀 더 완화시킨 방법들 : Tukey, scheffe, Duncan
      -Tukey : 반복수가 동일하다는 가정
      -Scheffe : 하나의 집단이 너무 클 때 사용
      -Duncan : 한꺼번에 세개를 비교할 때 사용
  2. Two way Anova : 두개 이상 요인에 대한 3집단 이상의 분석

    • facotor(요인)가 2개 이상이므로 전체변동 = factorA에 의한 변동 + factorB에 의한 변동 + error + A와 B의 상호작용 효과까지 고려해야한다.
      예를 들어, 수업 이해도(종속변수, 연속형)에 영향을 주인 요인으로서
      요인1 : 수업시 착석위치 ( 독립변수 X1 )
      요인2 : 출석점수( 독립변수 X2 ) 가 있다고 치자.
      이 때, 주성분X1 + X2이며, X1과 X2의 상호작용 효과인 X1:X2까지 고려해야한다. 그러므로, 구성될 수 있는 모델구성은 총 3가지다
      모델1 : Y ~ X1 + X2 (주성분만 포함)
      모델2 : Y ~ X1:X2 (상호작용 효과만 포함)
      모델3 : Y ~ X1 + X2 + X1:X2 = Y ~ X1 * X2

    • 상호작용 in R : 최대 2개 요인만 포함시키자.
      aov(종속변수(숫자) ~ 요인1(범주) + 요인2(범주) + 요인1\*요인2, data=data)
      결과로서 맨 마지막 줄의 Residuals = error에 비해, 각 요인들(주성분1, 주성분2, 상호작용효과3)들의 df(자유도) / Sum sq(변동(편차제곱)들이 합) / Mean sq(변동들의 평균) / F value(F검정 값:effect/error) / Pr(p-value)

    • 예시 들어보기 : 헤모글로빈 수치에 영향을 주는 요인2개 : 1)흡연이력 2)음주이력
      요인은 2개지만, 모델은 3가지 일 것이다.
      가설1 : 흡연이력에 따라 헤모글로빈 수치가 차이가 날 것이다.(Smoke effect)
      가설2 : 음주이력에 따라 헤모글로빈 수치가 차이가 날 것이다.(Alcohol effect)
      가설3 : 흡연이력(요인1)에 따른 헤모글로빈 수치의 양상(종속)음주이력 그룹(요인2)마다 다르다.(Interaction effect)
      (1) 상호작용 효과의 해석1 : Interaction plot(요인1는 x축, 요인2는 범례로 설정)한 뒤, 범례에 따라 변동이 있는지 없는지 본다.
      만약, 그래프가 평행하다면 : 요인2는 별로 영향이 없다. 만약, 그래프가 cross한다면, 요인1->종속변수에 요인2가 영향을 준다는 것을 의미한다.
      (2) 상호작용 효과의 해석2 : aov(헤모글로빈수치(종속변수) ~ 흡연이력(요인1) + 음주이력(요인2) + 요인1*요인2상호작용효과(요인1:요인2) )를 수행 한 뒤 summary()해보면, 3개의 모델이 생성되며 Pr(p-value)로 해석한다.
      만약, 상호작용효과(교호작용효과)에 대한 유의성 차이가 없다면 -> 요인1에 대한 종속변수가 요인2그룹마다 다르지 않다는 것을 의미. 상호작용효과를 제외하고 다시 aov()를 돌려야한다.
      (3) 상호작용효과를 제외한 이원배치 분산분석을 돌리는 것을 2 way ANOVA라 한다.

  3. 사후분석(Post-Hoc test, Multiple Comparison) : 3집단 이상에서 구체적으로 어느 두 집단끼리 차이가 있는지 확인

T 분포 ( Student's t - Distribution)

참고블로그 : https://m.blog.naver.com/PostView.nhn?blogId=mykepzzang&logNo=220853827288&proxyReferer=https%3A%2F%2Fwww.google.com%2F

  • 표본 평균으로 모집단의 정규분포 평균을 해석할 때 사용
  • 가설검정과 회귀분석에서도 자주 사용
  • 정규분포보다 꼬리가 더 두껍다. (n수가 작아도 예측범위가 더 넓다?)
  • 표본의 수(자유도도 관련)가 30이상이면 정규분포를 따르는 좌우대칭형
  • 만약 n수가 30이 안되면 t분포를 써서 예측해야한다.(좌우대칭형은 마찬가지)
  • t값( t score )로 두 집단간의 평균차이를 분석한다.
  • t score= 두 (표본)집단 평균의 차이 / 두 집단에서 계산된 표준편차(Sab)
    즉, 2집단의 표준편차(분산)이 고려된, 두 집단의 평균 차이
    두 표본의 평균차이가 크더라도, 한쪽이 분산이 엄청커서 벌어져있다고 가정해보자. 차이가 명확하게 안들어난다. 분산(표준편차)까지 고려한 평균의 차이가 t값이다.
  • ex> t분포에서 검정통계량 t가 크다? -> 분산고려되어 분자(A평균-B평균) 크다 -> 평균차이 크다!

T-test의 종류 3가지

  1. 단일표본 t검정
    • H0 : m = 50 (한 집단의 평균이 50이랑 같다)
    • 한 집단의 평균이 어떤 숫자와 같은지/다른지 비교한다.
  1. 대응표본 t검정

    • 1가지 가정이 만족되어야한다.
      1) 실험 후- 실험전 차이의 분포가 정규성을 따른다
      -만약, 정규성을 따르지 않는다면 => Wilcoxon signed rank test
    • H0 : 실험 전/후 간의 평균차이가 없다(=)
    • 한 집단의 실험 전/후 비교, 즉, 실험후 - 실험전 차이의 평균 = 0 인지/아닌지를 test
  2. 독립표본 t검정

    • 3가지 가정이 만족되어야한다.
      1) 두 집단간의 독립성 검정 : 사람이 판단함.
      -만약, 독립성이 없다 => 대응표본 t검정( 한집단의 전/후 )

      2) 각 집단의 정규성 검정( H0 : 정규분포를 따른다 -> p:0.05보다 커야 정규성 만족)
      (1) n > 30 : 중심극한정리(Central Limit Test)에 의해서 정규성 만족
      (2) 10 <= n <= 30 : Kolmogrov-Smirnov test or Shapiro-Wilk test
      (3) n < 10 : 정규성x로서 비모수적 방법 사용
      -만약, 정규성이 없다 => 비모수적 방법(평균비교x)인 Mann-Whitney test or Wilcoxon Rank-Sum test

      3) 두 집단간의 등분산성 검정( H0 : 두 집단의 분산은 같다 -> p:0.05보다 커야 정규성 만족)
      -만약, 두 집단이 분산이 다르다 => p가 0.05보다 작아서 등분산성을 만족하지 않으면 ->** 자유도를 수정하는 Welch t-test한다.
      **예외적으로 p-value가 0.05보다 커야 좋은 경우 2가지 : 정규성 검정, 등분산성 검정

    • H0 : 두 집단간에 평균차이가 없다(=)

    • 두 집단의 평균 차이를 본다.

  3. 보정된 t 검정

    • 두 집단가의 평균차이가 나긴 났는데, 다른 변수까지 끼워서 보정해놓고 검정한다.
    • 다른 변수를 보정시킨상태에서 해당 집단간의 차이가 유의하지 않다면, 그것은 진짜로 유의한 차이가 아닌 것이다.

상관계수

  • 숫자형 칼럼만 뽑는 2가지 방법 :
    1. str()확인후 직접 칼럼 여러개 인덱싱
    1. Filter( is.numeric, df )
# 데이터 준비
library(moonBook)
data(acs)

# 1. 상관계수(숫자-숫자)만 구하기 : na제거후 cor(칼럼인덱싱1, 칼럼인덱싱2)
cor(acs$height, acs$weight)
## [1] NA
cor(acs$height, acs$weight, use = "na.or.complete") # na 포함시 use옵션을 넣어줘야한다.
## [1] 0.6315767
# 2. 상관계수 매트릭스 : str() -> 숫자형칼럼만 뽑아서 cor(dataframe)
# - str()로 숫자형 칼럼만 인덱싱하여 df만들고 나서, dataframe 자체를 넣어준다.

str(acs) # age(1), EF(6), height(7), weight(8), BMI(9) 등
## 'data.frame':    857 obs. of  17 variables:
##  $ age             : int  62 78 76 89 56 73 58 62 59 71 ...
##  $ sex             : chr  "Male" "Female" "Female" "Female" ...
##  $ cardiogenicShock: chr  "No" "No" "Yes" "No" ...
##  $ entry           : chr  "Femoral" "Femoral" "Femoral" "Femoral" ...
##  $ Dx              : chr  "STEMI" "STEMI" "STEMI" "STEMI" ...
##  $ EF              : num  18 18.4 20 21.8 21.8 22 24.7 26.6 28.5 31.1 ...
##  $ height          : num  168 148 NA 165 162 153 167 160 152 168 ...
##  $ weight          : num  72 48 NA 50 64 59 78 50 67 60 ...
##  $ BMI             : num  25.5 21.9 NA 18.4 24.4 ...
##  $ obesity         : chr  "Yes" "No" "No" "No" ...
##  $ TC              : num  215 NA NA 121 195 184 161 136 239 169 ...
##  $ LDLC            : int  154 NA NA 73 151 112 91 88 161 88 ...
##  $ HDLC            : int  35 NA NA 20 36 38 34 33 34 54 ...
##  $ TG              : int  155 166 NA 89 63 137 196 30 118 141 ...
##  $ DM              : chr  "Yes" "No" "No" "No" ...
##  $ HBP             : chr  "No" "Yes" "Yes" "No" ...
##  $ smoking         : chr  "Smoker" "Never" "Never" "Never" ...
acs2 <- acs[ , c(1, 6, 7, 8, 9)] # 숫자형 칼럼만 뽑기
cor(acs2)
##        age EF height weight BMI
## age      1 NA     NA     NA  NA
## EF      NA  1     NA     NA  NA
## height  NA NA      1     NA  NA
## weight  NA NA     NA      1  NA
## BMI     NA NA     NA     NA   1
cor(acs2 , use = "na.or.complete")
##                age           EF       height      weight         BMI
## age     1.00000000 -0.062814463 -0.401352041 -0.42825035 -0.22291089
## EF     -0.06281446  1.000000000 -0.001477943  0.07494425  0.09332209
## height -0.40135204 -0.001477943  1.000000000  0.63285106 -0.00198798
## weight -0.42825035  0.074944253  0.632851060  1.00000000  0.76568388
## BMI    -0.22291089  0.093322093 -0.001987980  0.76568388  1.00000000
# 3. 상관계수 heatmap : corrplot(  cor(df, use="na.or.complete") )
# install.packages("corrplot")
library(corrplot)
## corrplot 0.84 loaded
corrplot(cor(acs2, use="na.or.complete")) # 원형

corrplot(cor(acs2, use="na.or.complete"), method = "square") # 사각형

corrplot(cor(acs2,use="na.or.complete"),method="ellipse") # 타원

corrplot(cor(acs2,use="na.or.complete"),method="number") # *상관계수 매트릭스 색으로

corrplot(cor(acs2,use="na.or.complete"),method="shade") # 사각형 + 빗금

corrplot(cor(acs2,use="na.or.complete"),method="color") # 사각형

corrplot(cor(acs2,use="na.or.complete"),method="pie") # pie차트 형식

상관계수의 종류별 테스트

  • 기본 : 1. 피어슨 상관계수 - 정규성을 따르는 숫자-숫자의 상관관계
  • 비모수 : 2. 스피어만 순위 상관계수, 3. 켄달의 타우
# 데이터 준비
# Filter( 칼럼에 대한 조건, data )를 통한 숫자형 칼럼 인덱싱
acs2 <- Filter( is.numeric , acs )
head(acs2)
##   age   EF height weight      BMI  TC LDLC HDLC  TG
## 1  62 18.0    168     72 25.51020 215  154   35 155
## 2  78 18.4    148     48 21.91381  NA   NA   NA 166
## 3  76 20.0     NA     NA       NA  NA   NA   NA  NA
## 4  89 21.8    165     50 18.36547 121   73   20  89
## 5  56 21.8    162     64 24.38653 195  151   36  63
## 6  73 22.0    153     59 25.20398 184  112   38 137
# 참고. 문자형 칼럼 인덱싱
acs3 <- Filter (is.character, acs)
head(acs3)
##      sex cardiogenicShock   entry              Dx obesity  DM HBP smoking
## 1   Male               No Femoral           STEMI     Yes Yes  No  Smoker
## 2 Female               No Femoral           STEMI      No  No Yes   Never
## 3 Female              Yes Femoral           STEMI      No  No Yes   Never
## 4 Female               No Femoral           STEMI      No  No  No   Never
## 5   Male               No  Radial          NSTEMI      No Yes Yes  Smoker
## 6 Female               No  Radial Unstable Angina     Yes Yes Yes   Never
# 0. 기본데이터를 이용해서, 산점도 + 선헝회귀선 + 상관관계 구해보기
data  <- data.frame(
  a = c(15,20,25,27,31,25,23,23,42,12,34,23,40),
  b = c(50,55,52,52,56,54,62,56,70,46,43,50,54)
)
plot(data$a, data$b)  # 산점도
# lm(data$a ~ data$b) # 두 변수간의 선형회귀를 통한 기울기+절편이 담겨있는 직선식
abline(lm(data$b ~ data$a)) # 산점도에 그린  y축 ~ x축 순서대로 해야 나온다!!

cor(data$a, data$b) # 상관계수
## [1] 0.433905
# 14번째 행으로 아웃라이어 추가
data[14,] = c(200, 230) # 아웃라이어 1개 추가로 인해 선형회귀 + 상관계수가 달라진다.

plot(data$a, data$b)  # 산점도
abline(lm(data$b ~ data$a)) # 산점도에 그린  y축 ~ x축 순서대로 해야 나온다!!

cor(data$a, data$b) # 상관계수
## [1] 0.9852541
# 1. 피어슨 상관계수 by cor와 상관계수 heatmap by corrplot
# 1_1. 상관계수
cor(acs2, use = "na.or.complete")
##                age          EF       height      weight          BMI
## age     1.00000000 -0.05240312 -0.399852042 -0.42569584 -0.221490011
## EF     -0.05240312  1.00000000 -0.014042881  0.06543177  0.090386043
## height -0.39985204 -0.01404288  1.000000000  0.63089489 -0.002069904
## weight -0.42569584  0.06543177  0.630894886  1.00000000  0.767190062
## BMI    -0.22149001  0.09038604 -0.002069904  0.76719006  1.000000000
## TC     -0.18357028  0.07467456 -0.077176366  0.01897155  0.084842113
## LDLC   -0.15973875  0.03663333 -0.039607198  0.05826248  0.105221247
## HDLC   -0.02621982  0.01099877 -0.085782836 -0.10664527 -0.058842589
## TG     -0.22143405  0.15153722  0.034817498  0.17231426  0.183409287
##                 TC        LDLC        HDLC          TG
## age    -0.18357028 -0.15973875 -0.02621982 -0.22143405
## EF      0.07467456  0.03663333  0.01099877  0.15153722
## height -0.07717637 -0.03960720 -0.08578284  0.03481750
## weight  0.01897155  0.05826248 -0.10664527  0.17231426
## BMI     0.08484211  0.10522125 -0.05884259  0.18340929
## TC      1.00000000  0.82328304  0.27272521  0.27757126
## LDLC    0.82328304  1.00000000  0.09587078  0.06600925
## HDLC    0.27272521  0.09587078  1.00000000 -0.15468035
## TG      0.27757126  0.06600925 -0.15468035  1.00000000
# 1_2. 히트맵
# install.packages("corrplot")
library(corrplot)
corrplot( cor(acs2, use = "na.or.complete"), method = "number") # 상관계수 matrix

corrplot( cor(acs2, use = "na.or.complete"), method = "color" ) # 상관계수 heatmap

# 2. spearman 순위 상관계수 : 비모수적 상관계수1
cor(acs2$height,acs2$weight,method="spearman", use = "na.or.complete") # 0.6379538
## [1] 0.6379538
# 3. kendall's tau : 비모수적 상관계수2
cor(acs2$height,acs2$weight,method="kendall", use = "na.or.complete") # 0.4749274
## [1] 0.4749274

산점도 매트릭스

# 1. 산점도 매트릭스 + 자신의 히스토그램 : psych 패키지 - pairs.panels( df ) 함수
# - na처리 안해도 알아서 해준다.
# install.packages("psych")
library(psych)
pairs.panels( acs2 )

# 2. 산점도 매트릭스 + 자신의 히스토그램 + @ : PerformanceAnalytics 패키지의 chart.Correlation 함수
# install.packages("PerformanceAnalytics");
library(PerformanceAnalytics)
## Loading required package: xts
## Loading required package: zoo
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
## 
## Attaching package: 'PerformanceAnalytics'
## The following object is masked from 'package:graphics':
## 
##     legend
chart.Correlation(acs2, histogram = TRUE, pch = 19) # baseplot의pch점의모양

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4. 상관계수 정리

2019. 2. 18. 16:47

상관계수 정의

  • 숫자형-숫자형 변수의 관계를 파악할 때 : 산점도(그래프), 상관계수(수치)
  • 숫자형-숫자형 변수간의 강도를 수치로 표현하는 방법
  • 상관계수는 인과성이 아닌 연관성만 확인가능하다.
    ( 연관성 안에 필요한 조건이 만족될때 인과성이 생길 수 있음)

상관계수 분석

  • 상관계수는 두 숫자형 변수사이의 연관성 중 직선적인 경향을 나타낸다.
    즉, 직선을 띄느냐(-1 / +1) 아니면 퍼져있느냐(-1 ~ 1)이다.
    예를 들어, 기울기가 45도 든 30도 든 60도든 산점도상의 점들이 직선을 이룬다면, +1 아니면 -1이다. 즉, 직선형태를 이룬다면 상관관계는 1 혹은 -1(음의 기울기)이다.
    직선적인 경향을 나타내는 척도이다.
  • 직선이 아니라 흩어져있다면, -1 ~ 0, 0 ~ +1 값을 가지고 , 가장 덜 직선같이 흩어져있으면 상관계수가 0이다.

    위의 그림에서 상관없음 = 0은 가장 덜 직선 같이 생겼다. 강한 양/음의 상관 관계를 가진다면 -1 혹은 +1에 가깝다.

상관계수(r) 공식 (피어슨 상관계수 - Pearson's correlation coefficent)

  1. 공분산(Covariance) : 두 숫자형 변수가 같은 방향으로 움직이는 정도, 두 변수의 단위가 다를 때, 다른 값을 가지게 되는 단점

  2. 상관계수(Correlation coefficent) : 공분산을 각각의 표준편차로 나누어준 값. 측정단위와 상관없이 두 변수간의 연관성, 직선적인 경향을 나타내줌

    1) 모집단(전체)의 상관계수 공식

    2) 표본(일부 샘플들)의 상관계수 공식


상관계수의 해석

  • 주의점 : 아웃라이어 하나때문에, 직선적인 경향이 갑자기 높아질 수도, 낮아질 수도 있으니, 아웃라이어(이상값) 처리가 중요함

상관계수의 종류

  1. 피어슨 상관계수 : 숫자형-숫자형 변수의 모수적(정규분포)의 선형관계

  2. 스피어만 순위 상관계수 : 숫자형-숫자형 변수의 비모수적(정규성x)의 단조관계

    • monotone relationship - 단순증가 / 단순감소(단조성)의 관계를 나타낸다.
    • 순서를 이용하기 때문에, 순서형 범주도 사용가능하다.
  1. 켄달의 타우 : 숫자형-숫자형 변수의 비모수적(정규성x)의 단조관계
    • 스피어만 순위 상관계수처럼, 단조성를 파악한다.
    • 산점도 상의 모든 점들을 2C1로 연결한 뒤, 양의 기울기를 가지는 개수 P 와 음의 기울기 개수 Q를 구한다.
    • r = P-Q / P+Q
3-6. 반복문, ifelse-binning + 빈도분석, 데이터합치기(rbind, cbind, merge)

반복문을 이용해 빈 리스트, 빈 메트릭스 만들고 채워넣기

# 1. 빈 리스트 만들고 채워넣기
a <- c()
a
## NULL
# 2. 빈 리스트에 1부터 10까지 채워넣기
for ( i in 1:10 ){
  a[i] <- i
}
a
##  [1]  1  2  3  4  5  6  7  8  9 10
# 3. 빈 matrix 만들기
m <- matrix(0, 10, 10) # matrix(넣을 값, m, n)
m
##       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
##  [1,]    0    0    0    0    0    0    0    0    0     0
##  [2,]    0    0    0    0    0    0    0    0    0     0
##  [3,]    0    0    0    0    0    0    0    0    0     0
##  [4,]    0    0    0    0    0    0    0    0    0     0
##  [5,]    0    0    0    0    0    0    0    0    0     0
##  [6,]    0    0    0    0    0    0    0    0    0     0
##  [7,]    0    0    0    0    0    0    0    0    0     0
##  [8,]    0    0    0    0    0    0    0    0    0     0
##  [9,]    0    0    0    0    0    0    0    0    0     0
## [10,]    0    0    0    0    0    0    0    0    0     0
# 4. 이중 반복문을 이용해 matrix 채워넣기
for ( i in 1:10 ){
  for ( j in 1:10){
    m[i, j] <- i*j
  }
}
m
##       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
##  [1,]    1    2    3    4    5    6    7    8    9    10
##  [2,]    2    4    6    8   10   12   14   16   18    20
##  [3,]    3    6    9   12   15   18   21   24   27    30
##  [4,]    4    8   12   16   20   24   28   32   36    40
##  [5,]    5   10   15   20   25   30   35   40   45    50
##  [6,]    6   12   18   24   30   36   42   48   54    60
##  [7,]    7   14   21   28   35   42   49   56   63    70
##  [8,]    8   16   24   32   40   48   56   64   72    80
##  [9,]    9   18   27   36   45   54   63   72   81    90
## [10,]   10   20   30   40   50   60   70   80   90   100

wakefield - r_data_frame으로 무작위 dataframe(tibble)만들기

ifelse로 바이닝하기(2번째 ifelse부터 조심)

범주형 데이터의 빈도분석

# install.packages("wakefield")
library(wakefield)

# 랜덤 데이터프레임 생성
temp_data <- r_data_frame(n=250,                     # n수
                          age( x=30:78, name="Age"),     # age() 랜덤
                          sex( x=c("male","female"),  prob=c(0.7,0.3), name="Sex") # sex랜덤과 비율
                        )
head(temp_data)
## # A tibble: 6 x 2
##     Age Sex  
##   <int> <fct>
## 1    75 male 
## 2    37 male 
## 3    45 male 
## 4    52 male 
## 5    31 male 
## 6    73 male
# ifelse로 Binning하기
# - 첫번째 else자리에만 Age로 인해 다 차있다. 2번째부터는 새로 생성한 칼럼명을 else자리에 넣어야한다. 왜냐하면, 2번째 조건인 40대에 안걸리면, 첫번째 조건 30대 것도 기존 Age(나이)가 다시 대입되어버린다. 앞에서 바꿔놓은 연령대(Age2)가 그대로 들어가야한다.
temp_data$Age2 <- ifelse( temp_data$Age >= 30 & temp_data$Age < 40, 3, temp_data$Age)
temp_data$Age2 <- ifelse( temp_data$Age >= 40 & temp_data$Age < 50, 4, temp_data$Age2)
temp_data$Age2 <- ifelse( temp_data$Age >= 50 & temp_data$Age < 60, 5, temp_data$Age2)
temp_data$Age2 <- ifelse( temp_data$Age >= 60 & temp_data$Age < 70, 6, temp_data$Age2)
temp_data$Age2 <- ifelse( temp_data$Age >= 70 & temp_data$Age < 80, 7, temp_data$Age2)

head(temp_data)
## # A tibble: 6 x 3
##     Age Sex    Age2
##   <int> <fct> <dbl>
## 1    75 male      7
## 2    37 male      3
## 3    45 male      4
## 4    52 male      5
## 5    31 male      3
## 6    73 male      7
# 범주형 Age2, sex의 빈도분석 by table, prop.table( table() )
# - 비율을 알려면, prop.table()안에 table()해놓은 것을 넣어야한다.
table( temp_data$Age2 )
## 
##  3  4  5  6  7 
## 48 54 62 52 34
prop.table(table( temp_data$Age2 ) )
## 
##     3     4     5     6     7 
## 0.192 0.216 0.248 0.208 0.136
table( temp_data$Sex )
## 
##   male female 
##    174     76
prop.table(table( temp_data$Sex ) )
## 
##   male female 
##  0.696  0.304

merge

# 데이터 만들기
df1<-data.frame(name = c('Park','Lee','Kim','Kang'),
                gender = c('f','m','f','m'))
df2<-data.frame(name = c('Min','Ahn','Choi','Kyeon'),
                gender = c('m','m','f','f'))

df1; df2 # 데이터 2개를 연달아서 확인하기 -> df1 과 df2는 name의 교집합 없음
##   name gender
## 1 Park      f
## 2  Lee      m
## 3  Kim      f
## 4 Kang      m
##    name gender
## 1   Min      m
## 2   Ahn      m
## 3  Choi      f
## 4 Kyeon      f
# 1. rbind(rowbind) 와 cbind(column bind)
rbind(df1,df2) # 행으로서 연결한다. (칼럼수, 칼럼명 같아야함)
##    name gender
## 1  Park      f
## 2   Lee      m
## 3   Kim      f
## 4  Kang      m
## 5   Min      m
## 6   Ahn      m
## 7  Choi      f
## 8 Kyeon      f
cbind(df1,df2) # 칼럼으로서 옆에 붙는다. (row수 같아야함)
##   name gender  name gender
## 1 Park      f   Min      m
## 2  Lee      m   Ahn      m
## 3  Kim      f  Choi      f
## 4 Kang      m Kyeon      f
df3<-data.frame(name = c('Yoon', 'Seo', 'Park', 'Lee', 'Kim', 'Kang'),
                age = c(30, 31, 22, 24, 28, 25))
df4<-data.frame(name = c('Park', 'Lee', 'Kim', 'Kang', 'Ahn', 'Go'),
                gender=c('f', 'f', 'm', 'm', 'f', 'm'),
                city = c('Seoul', 'Incheon', 'Seoul', 
                         'Busan', 'Gwangju', 'Deagu'))

df3;df4 # 6개 중에 4개 name은 겹친다.
##   name age
## 1 Yoon  30
## 2  Seo  31
## 3 Park  22
## 4  Lee  24
## 5  Kim  28
## 6 Kang  25
##   name gender    city
## 1 Park      f   Seoul
## 2  Lee      f Incheon
## 3  Kim      m   Seoul
## 4 Kang      m   Busan
## 5  Ahn      f Gwangju
## 6   Go      m   Deagu
merge(df3, df4, by="name" , all=FALSE) # all=FALSE는 Inner join으로서 교집합
##   name age gender    city
## 1 Kang  25      m   Busan
## 2  Kim  28      m   Seoul
## 3  Lee  24      f Incheon
## 4 Park  22      f   Seoul
merge(df3, df4, by="name" , all.x=TRUE) # all.x=TRUE는 LEFT join
##   name age gender    city
## 1 Kang  25      m   Busan
## 2  Kim  28      m   Seoul
## 3  Lee  24      f Incheon
## 4 Park  22      f   Seoul
## 5  Seo  31   <NA>    <NA>
## 6 Yoon  30   <NA>    <NA>
merge(df3, df4, by="name" , all.y=TRUE) # all.x=TRUE는 RIGHT join
##   name age gender    city
## 1 Kang  25      m   Busan
## 2  Kim  28      m   Seoul
## 3  Lee  24      f Incheon
## 4 Park  22      f   Seoul
## 5  Ahn  NA      f Gwangju
## 6   Go  NA      m   Deagu
merge(df3, df4, by="name" , all=TRUE) # all=TRUE Full outer join으로서 합집합
##   name age gender    city
## 1 Kang  25      m   Busan
## 2  Kim  28      m   Seoul
## 3  Lee  24      f Incheon
## 4 Park  22      f   Seoul
## 5  Seo  31   <NA>    <NA>
## 6 Yoon  30   <NA>    <NA>
## 7  Ahn  NA      f Gwangju
## 8   Go  NA      m   Deagu

확률변수와 확률분포

  1. 확률변수(Random Variable) : 일정한 확률값이 고정적으로 부여된 변수 X

    • 예를 들면, 주사위가 한개를 던질 때, 눈금 1이 나올 확률은 고정적으로 1/6이 부여되어있고, 이 때 X1을 확률변수라 한다.
    • 이 확률변수가 이산 확률변수연속 확률변수로 나뉜다.
  2. 확률분포(Probability Distribution) : 확률변수들이나 확률변수들의 조합으로 인해 생기는 확률값의 분포를 그래프로 나타낸 것.

    • 예를 들면, 주사위 2개를 던졌을 때, 눈금의 합은 2 부터 12까지, 각 눈금들의 조합으로 이루어지며, 각각은 확률변수로서 고정된 확률값을 가지므로 눈금의 합(여기서의 확률변수) 또한 일정한 패턴을 가지는 분포가 나타난다.

확률분포의 종류

  1. 이산 확률분포(discrete) : 정수처럼 딱 떨어져 셀수 있는 확률변수(이산확률변수)와 확률값의 분포 ex> 주사위 눈금
    • 이산확률분포의 종류 : 이항분포(베르누이분포), 포아송분포, 초기하분포, 기하분포
    • 이산확률분포의 함수 : 확률 질량 함수
  1. 연속 확률분포(continuous) : 소수점을 포함하는 실수처럼 연속하여 셀 수 없는 확률변수(연속확률변수)와 확률값의 분포 ex> 키, 몸무게
    • 셀 수 없기 때문에 구간을 정해놓고 이 구간에 속한 표본의 수로 나타낸다.
    • 연속확률분포의 종류 : 정규분포(가우시안 분포), 표준정규분포, t분포, F분포, 카이제곱분포
    • 연속확률분포의 함수 : 확률 밀도 함수

대표적 확률분포

  1. 정규 분포(Normal distribution; Gaussian distribution)
    • 연속확률분포, 종 모양의 분포로서 가장 많이 사용되는 분포
    • 완벽한 좌우대칭
    • 정규분포의 모수는 2개 : 1) 평균(location) 2) 분산(scale parameter)
    • 평균 : 종 모양 정규분포의 location을 결정한다
    • 분산 : 종 모양 정규분포의 평균에서 떨어진 정도(벌어진 정도)를 결정한다.
  1. 이항 분포(Binomail distribution; Bernoulli distribution)
    • 이상확률분포, 결과가 0/1 2개에(실패/성공, 사망/생존) 해당
    • 단 한번의 실험이 아니라 실험 수(n)가 복원추출로 여러번 시도한다.
    • 만약, n수가 충분히 많아지면, p = 1/2 + 분포는 좌우대칭의 정규분포에 가까워진다


  1. 포아송 분포(Poisson Distribution)
    • 결과가 단위 시간/공간안에서 발생하는 건수(Count)에 대한 분포
    • but 제약조건이 존재!! : 평균과 분산이 동일하다는 가정이 있어야한다. 대부분은 분산이 크고 평균이 작다고 한다.
    • ex1> 1시간동안 / 걸려오는 전화의
    • ex1> 1시간동안 / 발생하는 사고의
    • ex1> 1km 동안 / 발생하는 자동차 사고의

그외 자주 등장하는 분포들

  1. 초기하 분포 : 이항분포처럼 결과가 0/1 2가지 이나, 유한한 모집단에서 비복원추출
    • ex> S보험사 전체인원은 10명이고, 그중 여자가 6명이다. 이중 7명을 연속으로 뽑았을때, 4명이 여자일 확률
  1. t분포 : 정규분포와 유사하나, 표본의 크기가 작을 경우(n<30)에 사용되는 분포
  1. F분포 : 3개 이상 집단에 대한 비교를 위해, 분산에 대한 분석을 한다.

  2. 카이제곱 분포 : 2개의 범주형 변수의 빈도를 보고 연관성/독립성을 판단한다.

Cohort 연구의 종류

  • cohort : 특정 인구집단

  • cohort study의 종류

    1. 전향적 코호트 연구 (Prospective cohort study)

      • 대부분의 코호트 연구는 전향적 코호트 연구
        1) 특정인자 -> 질병발생에 미치는 영향을 연구
        2) 질병없는 연구대상자 모으기 = 위험요인 노출O + 위험요인 노출X 나누기
        3) 시간에 따라 follow up(추적조사)하기
        4) 위험요인 노출O = 질병O + 질병X 관찰( 그중에 몇명이 질병걸렸냐 )
        5) 위험요인 노출X = 질병O + 질병X 관찰( 그중에 몇명이 질병걸렸냐 )
    2. 후향적 코호트 연구 (Retrospective cohort study)

      • 기록을 통해 특정인자 노출여부 + 질병발생 여부 분석
        1) 자료 = 질병O + 질병X 나누기
        2) 질병O = 특정요인 노출O + 특정요인 노출X( 그중에 몇명이 특정요인 노출됬냐 )
        3) 질병X = 특정요인 노출O + 특정요인 노출X( 그중에 몇명이 특정요인 노출됬냐 )
    3. 코호트 연구의 장단점
      1) 장점 : 시간의 흐름에 따른 정보 + 다양한 요인 노출도 수집가능 + 질병위험도 산출
      2) 단점 : 추적조사 놓치기 쉬움 + 희귀질병시 추적기간 매우 길어짐 -> 편향이 생길 수 있음.

Propensity Score Matching(성향 점수 매칭) for 후향적 코호트 연구(환자-대조군 연구)

환자 대조군 연구(case control study)는 후향적 코호트 연구에 속하며,

  1. 질병O(환자군)과 질병X(대조군)을 나눈 뒤,
  2. 각 군에 대해서 위험요인O + 위험요인X 나뉘는 것을 관찰한다.

그러나 RCT(Randomized Cotrolled Trial) - 무작위 대조군 실험과 같이 무작위 배정이 일어나지 않으므로, 편향이 생길 수 있다. 이 때, 사용하는 개념이 매칭이다.


매칭에는 빈도매칭(전체적인 특성 맞추기 - 연령 등)과 대응매칭(개인적인 특성 맞춤)으로 나뉠 수 있다.


여기서는 성향점수매칭을 이용하여, n수가 적은 환자군에 비해 n수가 너무 많아 bias가 포함되어있는 대조군을 매칭 시켜줄 것이다.


후향적 코호트 연구(환자-대조군 연구)에서는

  1. 환자군(Case군, n수 적음)과 대조군(Control군, n수 많음)은 n수 차이로 인해 base characteristics(기본특성)이 맞지 않아, 선택 편향(slection bias)이 발생한다.

  2. Case군의 임상적 특징을 갖는 대상을 control군내에서 골라내어 맞추는 작업이 필요하다

    • 환자군 100명, 대조군 900명의 unbalanced data라면, 대조군 900명 중 환자군과 유사한 사람 100명을 뽑아서 맞춰주어야한다.
  3. 이 때 . base성격(case군의 임상적특징)이 같은 여성을 뽑는 방법이 PSM이며, 공변량(공통 칼럼)의 수준을 맞춤으로서, 특정 독립변수가 종속변수에 미치는 영향을 파악할 수 있게 해준다.`

  4. 예시
    경구피임약이 유방암에 미치는 영향을 조사한다.
    1) Case : 유방암(질병O)이 발생한 여성
    2) Cotrol : 유방암이 발생하지 않은(질병X) 모든(X) base 성격이 유사한 여성


코드로 구현해보기

3-4. 후향적 코호트 연구(환자-대조군 연구)와 PSM

PSM(성향 점수 매칭)

  • 후향적 연구에서 n수가 많은 contrl(대조군) 중 case(환자군)과 base성격이 비슷한 것 뽑기
  • na값이 있으면 MatchIt 패키지가 작동하지 않으니 미리 제거해놓아야한다.
# install.packages("optmatch")
# library(optmatch) # 쓰이진 않았으나,, 흠..

# install.packages("MatchIt")
library(MatchIt)

# 1. 데이터 준비하기
library(moonBook)
acs2 <- na.omit(acs)

# 2. 데이터에서 case / contrl 가르기
# 데이터에서 환자군(case)과 대조군(control)를 가르기 위한 칼럼 생성해주기
#  -  acs2데이터 중에서 1) Dx가 "STEMI"  2) obesity가 Yes인 경우를 case군 1로 본다. 그렇않으면 control군으로서 0으로 본다.
#  -  ifelse (조건,   조건만족시 값,   조건불만족시의 값)
acs2$case_control <- ifelse( acs2$Dx == "STEMI" & acs2$obesity == "Yes", 1, 0)

# case/contrl분류 칼럼(범주형 칼럼) 확인 -> 범주 1개라도 table()로 범주형의 빈도 확인하기
table(acs2$case_control)
## 
##   0   1 
## 586  91
# 3. control군을 case군에 PSM 해주기 by age, sex, BMI로 ***절대 종속변수(폐암)과 특정요인(흡연)을 PSM기준으로 넣지 않는다!
# - MatchIt 패키지 - matchit()함수를 쓰며, method는 일단 "optimal"로 해준다.
# - case군 91건에 비해 ratio 3배로 뽑아 대조군 273건을 만든다. 기준은 3개의 공변량을 지정해줬다.
opt <- matchit( case_control ~ age + sex + BMI, method = "optimal", data = acs2, ratio = 3)
## Warning in optmatch::fullmatch(d, min.controls = ratio, max.controls = ratio, : Without 'data' argument the order of the match is not guaranteed
##     to be the same as your original data.
summary(opt) # 3개의 칼럼을 기준(보통 인구통계학적 칼럼)으로 매칭시킨 control군 273개, case 91개
## 
## Call:
## matchit(formula = case_control ~ age + sex + BMI, data = acs2, 
##     method = "optimal", ratio = 3)
## 
## Summary of balance for all data:
##           Means Treated Means Control SD Control Mean Diff eQQ Med
## distance         0.2629        0.1145     0.1284    0.1484  0.1269
## age             58.9780       63.7099    11.7782   -4.7319  5.0000
## sexFemale        0.2527        0.3413     0.4745   -0.0885  0.0000
## sexMale          0.7473        0.6587     0.4745    0.0885  0.0000
## BMI             27.4390       23.7060     3.2452    3.7330  3.3811
##           eQQ Mean eQQ Max
## distance    0.1468  0.2894
## age         4.7033  8.0000
## sexFemale   0.0879  1.0000
## sexMale     0.0879  1.0000
## BMI         3.7942  9.4500
## 
## 
## Summary of balance for matched data:
##           Means Treated Means Control SD Control Mean Diff eQQ Med
## distance         0.2629        0.1970     0.1490    0.0659  0.0582
## age             58.9780       59.9744    11.1096   -0.9963  1.0000
## sexFemale        0.2527        0.2308     0.4221    0.0220  0.0000
## sexMale          0.7473        0.7692     0.4221   -0.0220  0.0000
## BMI             27.4390       26.1883     2.6436    1.2507  1.3298
##           eQQ Mean eQQ Max
## distance    0.0671  0.1844
## age         1.4396  6.0000
## sexFemale   0.0220  1.0000
## sexMale     0.0220  1.0000
## BMI         1.3628  4.7419
## 
## Percent Balance Improvement:
##           Mean Diff. eQQ Med eQQ Mean eQQ Max
## distance     55.6152 54.1190  54.3272 36.3000
## age          78.9441 80.0000  69.3925 25.0000
## sexFemale    75.1800  0.0000  75.0000  0.0000
## sexMale      75.1800  0.0000  75.0000  0.0000
## BMI          66.4967 60.6702  64.0818 49.8212
## 
## Sample sizes:
##           Control Treated
## All           586      91
## Matched       273      91
## Unmatched     313       0
## Discarded       0       0
# 4. PSM을 거친 case(91)과 control(273)의 자료 opt 객체 안의 data만 뽑아보자.
# - 사실 이 자료들은 case(91)에 대해서, 3개의 기준칼럼간에 distance가 가까운 contol(273)을 뽑아준다.
# - case1 control 0으로 지정해놓았는데, 이것을 종속변수로한 로지스틱회귀분석을 통해 0 ~ 1사이의 확률을 distance로 보고,  control 0인 자료중 case 1에 가까운 자료들 273개를 뽑았을 것이다.
# - 결과적으로 distance( 0 ~ 1 확률) 칼럼도 생기는 것 같다.
opt.data <- match.data(opt)
head(opt.data)
##    age    sex cardiogenicShock   entry              Dx   EF height weight
## 1   62   Male               No Femoral           STEMI 18.0    168     72
## 5   56   Male               No  Radial          NSTEMI 21.8    162     64
## 6   73 Female               No  Radial Unstable Angina 22.0    153     59
## 7   58   Male               No  Radial Unstable Angina 24.7    167     78
## 9   59 Female               No  Radial Unstable Angina 28.5    152     67
## 12  52 Female               No  Radial Unstable Angina 31.1    156     63
##         BMI obesity  TC LDLC HDLC  TG  DM HBP   smoking case_control
## 1  25.51020     Yes 215  154   35 155 Yes  No    Smoker            1
## 5  24.38653      No 195  151   36  63 Yes Yes    Smoker            0
## 6  25.20398     Yes 184  112   38 137 Yes Yes     Never            0
## 7  27.96802     Yes 161   91   34 196 Yes Yes Ex-smoker            0
## 9  28.99931     Yes 239  161   34 118 Yes Yes     Never            0
## 12 25.88757     Yes 184  123   43  72 Yes Yes     Never            0
##      distance weights subclass
## 1  0.15417267       1        1
## 5  0.11760849       1       44
## 6  0.08791559       1       55
## 7  0.30317725       1       59
## 9  0.28675559       1       58
## 12 0.13214478       1        1

연습다시 해보기

  • acs -> 결측값 제거 -> acs3로 저장 -> ifelse 문으로 case/control 가르는 칼럼 지정 -> ratio 2배로 뽑아보기
  • 비만이 남자가 case , 그외 비만- 여자 + 비만x 남자 + 비만x 여자는 대조군
  • 추출변수(case와 맞춰줄 인구통계 변수)는 age, BMI
acs3 <- na.omit(acs)

acs3$case_control <- ifelse( acs3$obesity == "Yes" & acs3$sex == "Male", 1, 0)

table( acs3$case_control )
## 
##   0   1 
## 500 177
opt2 <- matchit( case_control ~ age + BMI, method = "optimal", data = acs3, ratio =2 )
## Warning in optmatch::fullmatch(d, min.controls = ratio, max.controls = ratio, : Without 'data' argument the order of the match is not guaranteed
##     to be the same as your original data.
summary(opt2) # case(Treated) 177 , contrl 354
## 
## Call:
## matchit(formula = case_control ~ age + BMI, data = acs3, method = "optimal", 
##     ratio = 2)
## 
## Summary of balance for all data:
##          Means Treated Means Control SD Control Mean Diff eQQ Med eQQ Mean
## distance        0.5679        0.1530     0.2052    0.4150  0.4297   0.4146
## age            57.5650       65.0240    11.6706   -7.4590  8.0000   7.4011
## BMI            27.3810       23.0844     2.9534    4.2966  3.9319   4.2867
##          eQQ Max
## distance  0.6091
## age      11.0000
## BMI       9.3978
## 
## 
## Summary of balance for matched data:
##          Means Treated Means Control SD Control Mean Diff eQQ Med eQQ Mean
## distance        0.5679        0.2109     0.2190    0.3570  0.3690   0.3586
## age            57.5650       62.4718    11.2119   -4.9068  5.0000   4.8418
## BMI            27.3810       24.3167     2.4533    3.0643  3.0018   3.0747
##          eQQ Max
## distance  0.5337
## age       8.0000
## BMI       5.0135
## 
## Percent Balance Improvement:
##          Mean Diff. eQQ Med eQQ Mean eQQ Max
## distance    13.9564 14.1371  13.5022 12.3878
## age         34.2169 37.5000  34.5802 27.2727
## BMI         28.6800 23.6552  28.2740 46.6523
## 
## Sample sizes:
##           Control Treated
## All           500     177
## Matched       354     177
## Unmatched     146       0
## Discarded       0       0
opt2.data <- match.data(opt2)
head(opt2.data)
##    age    sex cardiogenicShock   entry              Dx   EF height weight
## 1   62   Male               No Femoral           STEMI 18.0    168     72
## 5   56   Male               No  Radial          NSTEMI 21.8    162     64
## 6   73 Female               No  Radial Unstable Angina 22.0    153     59
## 7   58   Male               No  Radial Unstable Angina 24.7    167     78
## 9   59 Female               No  Radial Unstable Angina 28.5    152     67
## 12  52 Female               No  Radial Unstable Angina 31.1    156     63
##         BMI obesity  TC LDLC HDLC  TG  DM HBP   smoking case_control
## 1  25.51020     Yes 215  154   35 155 Yes  No    Smoker            1
## 5  24.38653      No 195  151   36  63 Yes Yes    Smoker            0
## 6  25.20398     Yes 184  112   38 137 Yes Yes     Never            0
## 7  27.96802     Yes 161   91   34 196 Yes Yes Ex-smoker            1
## 9  28.99931     Yes 239  161   34 118 Yes Yes     Never            0
## 12 25.88757     Yes 184  123   43  72 Yes Yes     Never            0
##     distance weights subclass
## 1  0.3028581       1        1
## 5  0.2291040       1       56
## 6  0.1643829       1       35
## 7  0.7171087       1       77
## 9  0.8211678       1       52
## 12 0.4871921       1      103

QUIZ - 1

  • 데이터(COPD_Lung_Cancer.csv)를 불러들이고 난후(df로 이름저장), 각 변수별 missing rate를 확인
  • mice 패키지의 md.pattern함수, VIM 패키지의 aggr함수 활용
  • is.na()활용
  • Missing rate가 5%가 넘는 변수는 제외하여 df2로 저장
getwd()
## [1] "C:/Users/is2js/R_da/myR"
# 불러오기
df <- read.csv('C:/Users/is2js/R_da/myR/week4/4주차_코드/COPD_Lung_Cancer.csv', header = T)
head(df)
##   PERSON_ID SEX DTH CTRB_PT_TYPE_CD   BMI BP_LWST BLDS TOT_CHOLE  HMG
## 1  10000065   1   0               8 25.73      90  112       177 12.2
## 2  10000183   1   0               9 22.77     100  105       177 15.7
## 3  10000269   1   0               8 24.54      70   76       156 13.1
## 4  10000471   1   0               1 21.63     100   70       228 14.0
## 5  10000788   2   0               7 25.65      54  113       199 12.1
## 6  10001096   2   0               3 19.84      60  137       182 12.0
##   FMLY_CANCER_PATIEN_YN SMK_STAT_TYPE DRNK_HABIT EXERCI_FREQ lungC copd
## 1                     1             1          1           1     0    0
## 2                     1             1          5           1     0    1
## 3                     1             1          1           1     1    1
## 4                    NA             1          1           1     0    1
## 5                     1             1          1           1     0    0
## 6                     1             1          1           1     0    0
##   Asthma DM Tub before_op_score after_op_score
## 1      0  1   0              44             52
## 2      1  1   0              44             53
## 3      0  1   1              37             60
## 4      0  1   0              50             44
## 5      1  1   0              31             43
## 6      0  0   0              34             49
# 전체 missing 값 확인
sum( is.na(df))
## [1] 228
# 전체 missing rate 확인
round( sum( is.na(df)) / (nrow(df) * ncol(df))   * 100 , 2)
## [1] 1.21
# 각 변수별 missing 개수 확인
apply( is.na(df), MARGIN = 2, FUN = "sum") 
##             PERSON_ID                   SEX                   DTH 
##                     0                     0                     0 
##       CTRB_PT_TYPE_CD                   BMI               BP_LWST 
##                     0                     0                     0 
##                  BLDS             TOT_CHOLE                   HMG 
##                     8                    10                     6 
## FMLY_CANCER_PATIEN_YN         SMK_STAT_TYPE            DRNK_HABIT 
##                    91                    44                    33 
##           EXERCI_FREQ                 lungC                  copd 
##                    36                     0                     0 
##                Asthma                    DM                   Tub 
##                     0                     0                     0 
##       before_op_score        after_op_score 
##                     0                     0
# 각 변수별 missing rate 확인
round( (apply( is.na(df), MARGIN = 2, FUN = "sum") / nrow(df) )* 100, 2)
##             PERSON_ID                   SEX                   DTH 
##                  0.00                  0.00                  0.00 
##       CTRB_PT_TYPE_CD                   BMI               BP_LWST 
##                  0.00                  0.00                  0.00 
##                  BLDS             TOT_CHOLE                   HMG 
##                  0.85                  1.06                  0.64 
## FMLY_CANCER_PATIEN_YN         SMK_STAT_TYPE            DRNK_HABIT 
##                  9.64                  4.66                  3.50 
##           EXERCI_FREQ                 lungC                  copd 
##                  3.81                  0.00                  0.00 
##                Asthma                    DM                   Tub 
##                  0.00                  0.00                  0.00 
##       before_op_score        after_op_score 
##                  0.00                  0.00
# mice패키지 - md.pattern()를 이용한 missing value 패턴확인
library(mice)
## Loading required package: lattice
## 
## Attaching package: 'lattice'
## The following object is masked from 'package:moonBook':
## 
##     densityplot
## 
## Attaching package: 'mice'
## The following objects are masked from 'package:base':
## 
##     cbind, rbind
md.pattern(df)

##     PERSON_ID SEX DTH CTRB_PT_TYPE_CD BMI BP_LWST lungC copd Asthma DM Tub
## 794         1   1   1               1   1       1     1    1      1  1   1
## 81          1   1   1               1   1       1     1    1      1  1   1
## 8           1   1   1               1   1       1     1    1      1  1   1
## 4           1   1   1               1   1       1     1    1      1  1   1
## 11          1   1   1               1   1       1     1    1      1  1   1
## 2           1   1   1               1   1       1     1    1      1  1   1
## 2           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 7           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 20          1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 2           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 4           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
## 1           1   1   1               1   1       1     1    1      1  1   1
##             0   0   0               0   0       0     0    0      0  0   0
##     before_op_score after_op_score HMG BLDS TOT_CHOLE DRNK_HABIT
## 794               1              1   1    1         1          1
## 81                1              1   1    1         1          1
## 8                 1              1   1    1         1          1
## 4                 1              1   1    1         1          1
## 11                1              1   1    1         1          1
## 2                 1              1   1    1         1          1
## 2                 1              1   1    1         1          0
## 1                 1              1   1    1         1          0
## 7                 1              1   1    1         1          0
## 1                 1              1   1    1         1          0
## 1                 1              1   1    1         1          0
## 20                1              1   1    1         1          0
## 1                 1              1   1    1         1          0
## 2                 1              1   1    1         0          1
## 1                 1              1   1    1         0          1
## 1                 1              1   1    0         1          1
## 1                 1              1   1    0         0          1
## 4                 1              1   0    0         0          1
## 1                 1              1   0    0         0          1
## 1                 1              1   0    0         0          1
##                   0              0   6    8        10         33
##     EXERCI_FREQ SMK_STAT_TYPE FMLY_CANCER_PATIEN_YN    
## 794           1             1                     1   0
## 81            1             1                     0   1
## 8             1             0                     1   1
## 4             1             0                     0   2
## 11            0             1                     1   1
## 2             0             0                     1   2
## 2             1             1                     1   1
## 1             1             1                     0   2
## 7             1             0                     1   2
## 1             1             0                     0   3
## 1             0             1                     1   2
## 20            0             0                     1   3
## 1             0             0                     0   4
## 2             1             1                     1   1
## 1             1             1                     0   2
## 1             1             1                     0   2
## 1             1             1                     1   2
## 4             1             1                     1   3
## 1             1             1                     0   4
## 1             0             0                     1   5
##              36            44                    91 228
# VIM패키지 - aggr()을 이용한 missing value확인
library(VIM)
## Loading required package: colorspace
## Loading required package: grid
## Loading required package: data.table
## VIM is ready to use. 
##  Since version 4.0.0 the GUI is in its own package VIMGUI.
## 
##           Please use the package to use the new (and old) GUI.
## Suggestions and bug-reports can be submitted at: https://github.com/alexkowa/VIM/issues
## 
## Attaching package: 'VIM'
## The following object is masked from 'package:datasets':
## 
##     sleep
missing_pattern <- aggr(df)

missing_pattern$missings # aggr()의 값중에서도 $를 통해 missing value 개수를 빼낼 수 있음
##                                    Variable Count
## PERSON_ID                         PERSON_ID     0
## SEX                                     SEX     0
## DTH                                     DTH     0
## CTRB_PT_TYPE_CD             CTRB_PT_TYPE_CD     0
## BMI                                     BMI     0
## BP_LWST                             BP_LWST     0
## BLDS                                   BLDS     8
## TOT_CHOLE                         TOT_CHOLE    10
## HMG                                     HMG     6
## FMLY_CANCER_PATIEN_YN FMLY_CANCER_PATIEN_YN    91
## SMK_STAT_TYPE                 SMK_STAT_TYPE    44
## DRNK_HABIT                       DRNK_HABIT    33
## EXERCI_FREQ                     EXERCI_FREQ    36
## lungC                                 lungC     0
## copd                                   copd     0
## Asthma                               Asthma     0
## DM                                       DM     0
## Tub                                     Tub     0
## before_op_score             before_op_score     0
## after_op_score               after_op_score     0
missing_pattern$missings$Count # 칼럼의 순서를 기억하면서, 갯수만 빼낼 수 있다.
##  [1]  0  0  0  0  0  0  8 10  6 91 44 33 36  0  0  0  0  0  0  0
(missing_pattern$missings$Count / nrow(df) )* 100 # missing rate 5%이상은 10번째 칼럼
##  [1] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.8474576
##  [8] 1.0593220 0.6355932 9.6398305 4.6610169 3.4957627 3.8135593 0.0000000
## [15] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
df2 <- df[,-c(1, 10)] # 앞에 -를 달아서, 해당것만 제외하고 인덱싱할 있다. 첫번째 칼럼은 id칼럼이라서 제외시킨다.
head(df2)
##   SEX DTH CTRB_PT_TYPE_CD   BMI BP_LWST BLDS TOT_CHOLE  HMG SMK_STAT_TYPE
## 1   1   0               8 25.73      90  112       177 12.2             1
## 2   1   0               9 22.77     100  105       177 15.7             1
## 3   1   0               8 24.54      70   76       156 13.1             1
## 4   1   0               1 21.63     100   70       228 14.0             1
## 5   2   0               7 25.65      54  113       199 12.1             1
## 6   2   0               3 19.84      60  137       182 12.0             1
##   DRNK_HABIT EXERCI_FREQ lungC copd Asthma DM Tub before_op_score
## 1          1           1     0    0      0  1   0              44
## 2          5           1     0    1      1  1   0              44
## 3          1           1     1    1      0  1   1              37
## 4          1           1     0    1      0  1   0              50
## 5          1           1     0    0      1  1   0              31
## 6          1           1     0    0      0  0   0              34
##   after_op_score
## 1             52
## 2             53
## 3             60
## 4             44
## 5             43
## 6             49

QUIZ - 2

  • df2에서 ifelse를 활용하여 1,0 생성(criteria 변수 : BMI>25 & DM=1인 값)
  • Sex, BMI, BP_LWST가 비슷한 환자군 고르기
  • 1:2 ratio
# ifelse : y/n형태로 범주화칼럼을 생성해서 0:대조군 1:환자군(case)를 만든다.
df2$case_contorl <- ifelse( df2$BMI > 25 & df2$DM == 1,   1, 0)

# PSM전에는 missing value가 있으면 안된다.
df2<-na.omit(df2)

# MatchIt 패키지 - matchif()함수로 , 기준칼럼들을 기준으로 환자군과 비슷한 대조군을 1:2배율로 뽑아낸다
library(MatchIt)
opt <- matchit( case_contorl ~ SEX + BMI + BP_LWST,
             method = "optimal",
             data = df2,
             ratio = 2)
## Warning in optmatch::fullmatch(d, min.controls = ratio, max.controls = ratio, : Without 'data' argument the order of the match is not guaranteed
##     to be the same as your original data.
# 뽑힌 대조군(2:1)환자군 수 확인
summary(opt)
## 
## Call:
## matchit(formula = case_contorl ~ SEX + BMI + BP_LWST, data = df2, 
##     method = "optimal", ratio = 2)
## 
## Summary of balance for all data:
##          Means Treated Means Control SD Control Mean Diff eQQ Med eQQ Mean
## distance        0.5453        0.0888     0.1751    0.4564   0.427   0.4548
## SEX             1.6573        1.5628     0.4964    0.0945   0.000   0.0979
## BMI            26.9328       21.8550     2.8444    5.0778   4.560   5.0863
## BP_LWST        81.2238       81.0464    12.0707    0.1773   0.000   0.9580
##          eQQ Max
## distance  0.7382
## SEX       1.0000
## BMI      12.3900
## BP_LWST  15.0000
## 
## 
## Summary of balance for matched data:
##          Means Treated Means Control SD Control Mean Diff eQQ Med eQQ Mean
## distance        0.5453        0.2119     0.2314    0.3334  0.3204   0.3350
## SEX             1.6573        1.5490     0.4985    0.1084  0.0000   0.1119
## BMI            26.9328       24.5638     1.7015    2.3690  2.2900   2.3844
## BP_LWST        81.2238       81.9441    12.3441   -0.7203  0.0000   0.9371
##          eQQ Max
## distance  0.5623
## SEX       1.0000
## BMI       3.0600
## BP_LWST  15.0000
## 
## Percent Balance Improvement:
##          Mean Diff. eQQ Med eQQ Mean eQQ Max
## distance    26.9584 24.9694  26.3326 23.8321
## SEX        -14.6987  0.0000 -14.2857  0.0000
## BMI         53.3451 49.7807  53.1210 75.3027
## BP_LWST   -306.1847  0.0000   2.1898  0.0000
## 
## Sample sizes:
##           Control Treated
## All           732     143
## Matched       286     143
## Unmatched     446       0
## Discarded       0       0
# 뽑은 데이터만 가져오기
opt.data <- match.data(opt)

nrow(opt.data) # 286 + 143 = 429
## [1] 429

데이터 준비

data<- data.frame(
  gender = c("M", "F", "F", "M", "M", "F"),
  age=c(25,35,10,48,50,45),
  height=c(180,160,150,175,170,300)
)

data
##   gender age height
## 1      M  25    180
## 2      F  35    160
## 3      F  10    150
## 4      M  48    175
## 5      M  50    170
## 6      F  45    300
data[1,] # 행 인덱싱
##   gender age height
## 1      M  25    180
data[,1] # 칼럼 인덱싱1
## [1] M F F M M F
## Levels: F M
data[, c(2, 3)] # 칼럼 2개부터는 c()으로 묶어
##   age height
## 1  25    180
## 2  35    160
## 3  10    150
## 4  48    175
## 5  50    170
## 6  45    300
data$gender # 칼럼 인덱싱2
## [1] M F F M M F
## Levels: F M
data[ data$gender == "M", ] # 조건을 만족하는 데이터만 인덱싱
##   gender age height
## 1      M  25    180
## 4      M  48    175
## 5      M  50    170

이상치 발견하기

    1. 시각화로 발견
    1. Z표준화한 뒤, 3 이상 넘어가는지 확인
# 1. 시각화로 발견( 결측치는 표 + 시각화)

# 1_1. 박스플롯
boxplot(data$height)

# 1_2. 단변수면 histogram (이변수몇 scatterplot)
hist(data$height)

# 2. Z분포(표준화)로 만든 뒤, 3( 3sd = 99.7%)이상으로 넘어가는지

# 2_1. Z분포 - 표준화 - scaling해서 3sd 바깥에 분포하는지 확인
#      Z  = (X - m) / sd  => 편차가 몇 sd(시그마)인지 알려주므로, -2,2 보다 크면 2sd이상 , -3, 3보다 크면 3sd이상의 이상값으로 취급
#      해석) -1 ~ 1 =  68.3% 안에 들어옴  , -2 ~ 2 = 95.5%안에 들어옴, -3 ~ 3 = 99.7% 안에 들어옴 -> 이것보다 바깥이면.. 반대확률
( data$height - mean(data$height)) / sd(data$height) # 2보다 큰것 -> 95.5%보다 바깥이다.   3보다 큰것 -> 99.7%보다 바깥이다.
## [1] -0.1655981 -0.5269029 -0.7075554 -0.2559243 -0.3462505  2.0022311
# 2_2. scale( data ) 함수 이용
scale(data$height)
##            [,1]
## [1,] -0.1655981
## [2,] -0.5269029
## [3,] -0.7075554
## [4,] -0.2559243
## [5,] -0.3462505
## [6,]  2.0022311
## attr(,"scaled:center")
## [1] 189.1667
## attr(,"scaled:scale")
## [1] 55.35492

이상치 처리

  • 발견한 이상치 + 해당행렬번호를 알고 있어야함
    1. 삭제 : 행인덱싱 + (!)로 <이상치 아닌 데이터들만> 가져오기
    1. (평균)대치 : 행인덱싱 + (!) + 칼럼인덱싱으로 <이상치 아닌 칼럼만>가져와서 + mean()평균 낸 값을 + [m,n]으로 직접대입
    1. (조건부+평균)대치 : 행인덱싱 + (!) & 다른범주의 조건 + 칼럼인덱싱으로 <특정범주별 이상치 아닌 칼럼만>가져와서 + mean()평균내어 직접 대입
# height칼럼의 300이 이상치, 그 위치가 [6,3]라고 가정한다.
data[6,3]
## [1] 300
# 1. 삭제 : 말만 삭제지 아닌 것을 행인덱싱한다.
data[ !data$height == 300,]
##   gender age height
## 1      M  25    180
## 2      F  35    160
## 3      F  10    150
## 4      M  48    175
## 5      M  50    170
# 2. 평균을 대치
#   해당칼럼의 이상치를 제거해놓고 구한 평균을 직접 대입
data[ !data$height == 300, "height"]
## [1] 180 160 150 175 170
mean(data[ !data$height == 300, "height"])
## [1] 167
data[6,3] <- mean(data[ !data$height == 300, "height"])

# 3. 범주별 평균을 대치
# 2_2.  해당칼럼의 이상치를 제거해놓고 & 다른범주칼럼의 범주도 정해놓은 상태에서 구한 평균을 직접 대입
data[ !data$height == 300 & data$gender == "F", "height"]
## [1] 160 150 167
mean(data[ !data$height == 300 & data$gender == "F", "height"])
## [1] 159
data[6, 3] <- mean(data[ !data$height == 300 & data$gender == "F", "height"])
View(data)

결측값 발견하기

  1. 전체 결측치 개수 : sum(is.na( data )) - is.na(data)로 전체 na마스크 만든 다음 sum()하기
  2. 전체 결측률 : mean(!complete.cases( data ))
  3. 칼럼별 결측치 개수 : table( is.na( data$칼럼명 ))
# 데이터 준비
# install.packages("moonBook")
library(moonBook)

# 데이터 확인
dim(acs)
## [1] 857  17
head(acs)
##   age    sex cardiogenicShock   entry              Dx   EF height weight
## 1  62   Male               No Femoral           STEMI 18.0    168     72
## 2  78 Female               No Femoral           STEMI 18.4    148     48
## 3  76 Female              Yes Femoral           STEMI 20.0     NA     NA
## 4  89 Female               No Femoral           STEMI 21.8    165     50
## 5  56   Male               No  Radial          NSTEMI 21.8    162     64
## 6  73 Female               No  Radial Unstable Angina 22.0    153     59
##        BMI obesity  TC LDLC HDLC  TG  DM HBP smoking
## 1 25.51020     Yes 215  154   35 155 Yes  No  Smoker
## 2 21.91381      No  NA   NA   NA 166  No Yes   Never
## 3       NA      No  NA   NA   NA  NA  No Yes   Never
## 4 18.36547      No 121   73   20  89  No  No   Never
## 5 24.38653      No 195  151   36  63 Yes Yes  Smoker
## 6 25.20398     Yes 184  112   38 137 Yes Yes   Never
str(acs)
## 'data.frame':    857 obs. of  17 variables:
##  $ age             : int  62 78 76 89 56 73 58 62 59 71 ...
##  $ sex             : chr  "Male" "Female" "Female" "Female" ...
##  $ cardiogenicShock: chr  "No" "No" "Yes" "No" ...
##  $ entry           : chr  "Femoral" "Femoral" "Femoral" "Femoral" ...
##  $ Dx              : chr  "STEMI" "STEMI" "STEMI" "STEMI" ...
##  $ EF              : num  18 18.4 20 21.8 21.8 22 24.7 26.6 28.5 31.1 ...
##  $ height          : num  168 148 NA 165 162 153 167 160 152 168 ...
##  $ weight          : num  72 48 NA 50 64 59 78 50 67 60 ...
##  $ BMI             : num  25.5 21.9 NA 18.4 24.4 ...
##  $ obesity         : chr  "Yes" "No" "No" "No" ...
##  $ TC              : num  215 NA NA 121 195 184 161 136 239 169 ...
##  $ LDLC            : int  154 NA NA 73 151 112 91 88 161 88 ...
##  $ HDLC            : int  35 NA NA 20 36 38 34 33 34 54 ...
##  $ TG              : int  155 166 NA 89 63 137 196 30 118 141 ...
##  $ DM              : chr  "Yes" "No" "No" "No" ...
##  $ HBP             : chr  "No" "Yes" "Yes" "No" ...
##  $ smoking         : chr  "Smoker" "Never" "Never" "Never" ...
summary(acs)
##       age            sex            cardiogenicShock      entry          
##  Min.   :28.00   Length:857         Length:857         Length:857        
##  1st Qu.:55.00   Class :character   Class :character   Class :character  
##  Median :64.00   Mode  :character   Mode  :character   Mode  :character  
##  Mean   :63.31                                                           
##  3rd Qu.:72.00                                                           
##  Max.   :91.00                                                           
##                                                                          
##       Dx                  EF            height          weight      
##  Length:857         Min.   :18.00   Min.   :130.0   Min.   : 30.00  
##  Class :character   1st Qu.:50.45   1st Qu.:158.0   1st Qu.: 58.00  
##  Mode  :character   Median :58.10   Median :165.0   Median : 65.00  
##                     Mean   :55.83   Mean   :163.2   Mean   : 64.84  
##                     3rd Qu.:62.35   3rd Qu.:170.0   3rd Qu.: 72.00  
##                     Max.   :79.00   Max.   :185.0   Max.   :112.00  
##                     NA's   :134     NA's   :93      NA's   :91      
##       BMI          obesity                TC             LDLC      
##  Min.   :15.62   Length:857         Min.   : 25.0   Min.   : 15.0  
##  1st Qu.:22.13   Class :character   1st Qu.:154.0   1st Qu.: 88.0  
##  Median :24.16   Mode  :character   Median :183.0   Median :114.0  
##  Mean   :24.28                      Mean   :185.2   Mean   :116.6  
##  3rd Qu.:26.17                      3rd Qu.:213.0   3rd Qu.:141.0  
##  Max.   :41.42                      Max.   :493.0   Max.   :366.0  
##  NA's   :93                         NA's   :23      NA's   :24     
##       HDLC             TG             DM                HBP           
##  Min.   : 4.00   Min.   : 11.0   Length:857         Length:857        
##  1st Qu.:32.00   1st Qu.: 68.0   Class :character   Class :character  
##  Median :38.00   Median :105.5   Mode  :character   Mode  :character  
##  Mean   :38.24   Mean   :125.2                                        
##  3rd Qu.:45.00   3rd Qu.:154.0                                        
##  Max.   :89.00   Max.   :877.0                                        
##  NA's   :23      NA's   :15                                           
##    smoking         
##  Length:857        
##  Class :character  
##  Mode  :character  
##                    
##                    
##                    
## 
apply(is.na(acs), MARGIN = 2, FUN = 'sum')
##              age              sex cardiogenicShock            entry 
##                0                0                0                0 
##               Dx               EF           height           weight 
##                0              134               93               91 
##              BMI          obesity               TC             LDLC 
##               93                0               23               24 
##             HDLC               TG               DM              HBP 
##               23               15                0                0 
##          smoking 
##                0
# 결측치 확인하기
# 1. 전체 결측치
sum( is.na(acs))
## [1] 496
# 2. 전체 결측률
complete.cases(acs) # 결측치 아닌 것들만 1의 마스크 -> 필요시 행인덱싱에 넣어 결측치 제거한 데이터만 사용가능
##   [1]  TRUE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [12]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
##  [23]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
##  [34]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [45]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [56]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [67]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [78]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
##  [89] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [100]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [111]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
## [122]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [133]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [144]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [155]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [166]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [177]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [188]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [199]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [210]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
## [221]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [232]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [243] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [254]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [265]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [276]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [287]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [298]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [309]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [320]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
## [331]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [342]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [353]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [364]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [375]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [386]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [397]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [408]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
## [419]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [430] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
## [441]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [452]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [463]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [474]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [485]  TRUE  TRUE  TRUE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [496]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [507]  TRUE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [518]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [529]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [540]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [551]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [562]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [573]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
## [584]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
## [595]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [606]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [617]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [628] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [639]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [650]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [661]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [672]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [683]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [694]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
## [705]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
## [716] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
## [727] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [738] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [749] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [760] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [771] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [782] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [793] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [804] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [815] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [826] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [837] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [848] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
!complete.cases(acs) # 결측치만 1인 마스크
##   [1] FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [12] FALSE FALSE FALSE FALSE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE
##  [23] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
##  [34] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [45] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [56] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [67] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
##  [78] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
##  [89]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [100] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
## [111] FALSE FALSE FALSE FALSE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE
## [122] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [133] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [144] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [155] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
## [166] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [177] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [188] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [199] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [210] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
## [221] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [232] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [243]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [254] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [265] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [276] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
## [287] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [298] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [309] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [320] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
## [331] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [342] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
## [353] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [364] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [375] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
## [386] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
## [397] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
## [408] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
## [419] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [430]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
## [441] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [452] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [463] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [474] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [485] FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
## [496] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [507] FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [518] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [529] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [540] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [551] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
## [562] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [573] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
## [584] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
## [595] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [606] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [617] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [628]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [639] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [650] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [661] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
## [672] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [683] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE
## [694] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
## [705] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
## [716]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE
## [727]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [738]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [749]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [760]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [771]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [782]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [793]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [804]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [815]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [826]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [837]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [848]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
mean(!complete.cases(acs)) # 결측치만 1
## [1] 0.210035
# 3. 칼럼별 인덱싱하여 결측인거 아닌것 갯수 파악 : table( is.na( data$칼럼  ))
table(is.na(acs$height))
## 
## FALSE  TRUE 
##   764    93
# 4. 데이터 확인시 배운 apply()이용한 전체 칼럼별 na갯수
apply(is.na(acs), MARGIN = 2, FUN = 'sum')
##              age              sex cardiogenicShock            entry 
##                0                0                0                0 
##               Dx               EF           height           weight 
##                0              134               93               91 
##              BMI          obesity               TC             LDLC 
##               93                0               23               24 
##             HDLC               TG               DM              HBP 
##               23               15                0                0 
##          smoking 
##                0

결측값 시각화해서 보기

# install.packages("wakefield")

# 1. mice로 결측치의 패턴보기
# install.packages("mice")
library(mice)
## Loading required package: lattice
## 
## Attaching package: 'lattice'
## The following object is masked from 'package:moonBook':
## 
##     densityplot
## 
## Attaching package: 'mice'
## The following objects are masked from 'package:base':
## 
##     cbind, rbind
# 1_1. 결측치 패턴 시각화 및 표
# https://m.blog.naver.com/tjdudwo93/220976082118
# 맨우측열 -> 결측치존재칼럼의 수(만약, 같은 수가 여러개 -> 결측치 갯수가 똑같으나 칼럼조합별로 나뉜 것)
# 맨왼쪽열 -> 결측치 칼럼별 row데이터의 갯수
# 맨아래행 -> 각 칼럼별 결측치의 갯수
# 우하단 끝칸 -> 각 칼럼별 결측치 갯수의 합 -> 전체 결측시 갯수
md.pattern(acs) # 결측치의 패턴을 알아볼 수 있다. 

##     age sex cardiogenicShock entry Dx obesity DM HBP smoking TG TC HDLC
## 677   1   1                1     1  1       1  1   1       1  1  1    1
## 74    1   1                1     1  1       1  1   1       1  1  1    1
## 2     1   1                1     1  1       1  1   1       1  1  1    1
## 32    1   1                1     1  1       1  1   1       1  1  1    1
## 47    1   1                1     1  1       1  1   1       1  1  1    1
## 1     1   1                1     1  1       1  1   1       1  1  1    1
## 5     1   1                1     1  1       1  1   1       1  1  0    0
## 1     1   1                1     1  1       1  1   1       1  1  0    0
## 3     1   1                1     1  1       1  1   1       1  1  0    0
## 1     1   1                1     1  1       1  1   1       1  0  1    1
## 6     1   1                1     1  1       1  1   1       1  0  0    0
## 2     1   1                1     1  1       1  1   1       1  0  0    0
## 6     1   1                1     1  1       1  1   1       1  0  0    0
##       0   0                0     0  0       0  0   0       0 15 23   23
##     LDLC weight height BMI  EF    
## 677    1      1      1   1   1   0
## 74     1      1      1   1   0   1
## 2      1      1      0   0   0   3
## 32     1      0      0   0   1   3
## 47     1      0      0   0   0   4
## 1      0      1      1   1   1   1
## 5      0      1      1   1   1   3
## 1      0      1      1   1   0   4
## 3      0      0      0   0   0   7
## 1      1      0      0   0   0   5
## 6      0      1      1   1   1   4
## 2      0      0      0   0   1   7
## 6      0      0      0   0   0   8
##       24     91     93  93 134 496
# 2. VIM 패키지- aggr(data)로 결측치 패턴 보기
# install.packages("VIM")
library(VIM)
## Loading required package: colorspace
## Loading required package: grid
## Loading required package: data.table
## VIM is ready to use. 
##  Since version 4.0.0 the GUI is in its own package VIMGUI.
## 
##           Please use the package to use the new (and old) GUI.
## Suggestions and bug-reports can be submitted at: https://github.com/alexkowa/VIM/issues
## 
## Attaching package: 'VIM'
## The following object is masked from 'package:datasets':
## 
##     sleep
aggr(acs)

# 2_2. 숫자형 변수의 null값 boxplot + 산점도?
marginplot(acs[, c("BMI", "weight")], cex.numbers = 1.2, pch = 19)

# install.packages("MatchIt")
# install.packages("optmatch")

결측값 처리하기

  1. 전체na 삭제한 데이터 만들기 2가지 방법 : na.omit() , complete.cases()마스크 행인덱싱
  2. 부분삭제 : 칼럼명인덱싱한 것에 is.na() + ! 를 달아서, na가 아닌 것만 골라내기( 말만 삭제 )
  3. 대치와 조건부대치
  • 해당칼럼의 대치 : 해당칼럼의 na제외 평균값을 구해서 대치할거면 : mean( 칼럼인덱싱, na.rm=T)로 쉽게할 있다.
  • 조건부 대치 : na.rm=T옵션으로 바로 못구하고, 행인덱싱자리에 !is.na() 과 함께 & 특정범주의 조건을 준다.
  1. mice로 다중대치하기
# 1. 전체삭제 : 한 칼럼에서라도 na가 존재하면 다 삭제
# 1_1. na.omit(data)
na.omit(acs)
##     age    sex cardiogenicShock   entry              Dx   EF height weight
## 1    62   Male               No Femoral           STEMI 18.0  168.0   72.0
## 4    89 Female               No Femoral           STEMI 21.8  165.0   50.0
## 5    56   Male               No  Radial          NSTEMI 21.8  162.0   64.0
## 6    73 Female               No  Radial Unstable Angina 22.0  153.0   59.0
## 7    58   Male               No  Radial Unstable Angina 24.7  167.0   78.0
## 8    62   Male               No Femoral           STEMI 26.6  160.0   50.0
## 9    59 Female               No  Radial Unstable Angina 28.5  152.0   67.0
## 10   71   Male               No Femoral           STEMI 31.1  168.0   60.0
## 11   52   Male               No  Radial Unstable Angina 31.1  175.0   60.0
## 12   52 Female               No  Radial Unstable Angina 31.1  156.0   63.0
## 13   66   Male               No Femoral Unstable Angina 31.5  164.0   64.0
## 14   64 Female               No Femoral           STEMI 31.9  150.0   51.0
## 15   62 Female               No Femoral           STEMI 32.0  158.0   49.0
## 17   65   Male               No  Radial Unstable Angina 32.0  152.0   54.0
## 19   63   Male              Yes  Radial           STEMI 33.3  175.0   71.0
## 20   30   Male               No Femoral           STEMI 34.0  148.0   80.0
## 21   60   Male               No  Radial Unstable Angina 34.3  173.0   68.0
## 22   81   Male               No Femoral          NSTEMI 34.4  162.0   51.0
## 23   49   Male               No Femoral Unstable Angina 34.4  165.0   67.0
## 24   72 Female               No Femoral           STEMI 34.5  145.0   50.0
## 25   63   Male              Yes Femoral           STEMI 34.6  170.0   70.0
## 26   72 Female               No Femoral Unstable Angina 34.6  155.0   45.0
## 27   64   Male              Yes  Radial           STEMI 35.0  165.0   63.0
## 28   64   Male               No Femoral           STEMI 35.4  167.0   65.0
## 30   47   Male              Yes Femoral           STEMI 35.5  179.0   68.0
## 31   46 Female               No Femoral           STEMI 35.6  155.0   48.0
## 32   55   Male              Yes Femoral          NSTEMI 35.7  165.0   63.0
## 33   73   Male               No  Radial          NSTEMI 35.9  160.0   70.0
## 34   59   Male               No  Radial          NSTEMI 36.5  175.0   62.0
## 35   79 Female               No  Radial Unstable Angina 36.5  140.0   50.0
## 36   80   Male               No  Radial           STEMI 36.6  162.0   54.0
## 37   76 Female               No  Radial          NSTEMI 36.8  153.0   50.0
## 38   73   Male               No Femoral          NSTEMI 37.0  162.0   53.0
## 39   61 Female               No Femoral Unstable Angina 37.0  156.0   44.0
## 40   58   Male              Yes  Radial           STEMI 37.3  168.0   74.0
## 41   58   Male               No Femoral           STEMI 37.5  165.0   85.0
## 42   72 Female               No  Radial          NSTEMI 37.5  150.0   70.0
## 43   57   Male               No Femoral          NSTEMI 37.9  168.0   70.0
## 44   66   Male               No  Radial Unstable Angina 38.0  165.0   69.0
## 45   71   Male               No  Radial Unstable Angina 38.0  170.0   69.0
## 46   65 Female               No Femoral           STEMI 38.4  162.0   67.0
## 47   53   Male               No  Radial Unstable Angina 38.4  163.0   68.0
## 48   61 Female               No Femoral          NSTEMI 38.5  148.0   64.0
## 49   77   Male               No  Radial           STEMI 38.8  160.0   54.0
## 50   82   Male               No Femoral           STEMI 39.0  164.0   50.0
## 51   65   Male              Yes  Radial           STEMI 39.0  163.0   58.0
## 52   61   Male               No Femoral           STEMI 39.4  168.0   56.0
## 53   39   Male               No  Radial           STEMI 40.0  169.0   93.0
## 54   49   Male               No  Radial           STEMI 40.0  178.0   80.0
## 55   67   Male               No Femoral          NSTEMI 40.0  165.0   62.0
## 56   76   Male               No  Radial           STEMI 40.2  165.0   75.0
## 57   79 Female               No  Radial          NSTEMI 40.2  155.0   60.0
## 58   63   Male               No  Radial Unstable Angina 40.2  168.0   62.0
## 59   74 Female              Yes Femoral           STEMI 40.4  150.0   55.0
## 60   67   Male               No Femoral           STEMI 40.5  165.0   75.0
## 61   57   Male               No Femoral           STEMI 40.6  167.0   58.0
## 62   59   Male               No  Radial           STEMI 40.9  172.0   65.0
## 63   76   Male               No  Radial           STEMI 41.0  158.0   67.0
## 64   55   Male               No  Radial           STEMI 41.3  170.0   75.0
## 65   80 Female               No Femoral           STEMI 41.5  157.0   48.0
## 66   88 Female               No  Radial          NSTEMI 41.7  155.0   53.0
## 67   75 Female               No Femoral           STEMI 41.8  160.0   70.0
## 68   72   Male               No  Radial           STEMI 42.0  168.0   64.0
## 69   52   Male               No Femoral Unstable Angina 42.0  170.0   78.0
## 70   49   Male               No  Radial           STEMI 42.1  167.0   69.0
## 71   78   Male               No Femoral          NSTEMI 42.1  158.0   50.0
## 73   67 Female               No  Radial          NSTEMI 42.2  153.0   43.0
## 74   54   Male               No  Radial          NSTEMI 42.4  168.0   63.0
## 75   76 Female               No  Radial          NSTEMI 42.5  163.0   55.0
## 76   52   Male               No  Radial           STEMI 42.5  160.0   55.0
## 77   65   Male               No Femoral           STEMI 42.6  168.0   59.0
## 78   64   Male               No  Radial           STEMI 42.7  164.0   65.0
## 79   85   Male               No Femoral          NSTEMI 42.7  165.0   60.0
## 80   75 Female               No  Radial           STEMI 42.8  156.0   46.0
## 81   78 Female               No  Radial           STEMI 42.9  158.0   57.0
## 82   81   Male               No Femoral Unstable Angina 43.0  166.0   59.0
## 83   74 Female               No  Radial Unstable Angina 43.0  150.0   51.0
## 84   58   Male              Yes Femoral           STEMI 43.2  178.0   80.0
## 85   63 Female               No Femoral           STEMI 43.2  149.0   40.0
## 86   72 Female               No Femoral Unstable Angina 43.2  160.0   62.0
## 88   77   Male               No  Radial          NSTEMI 44.0  168.0   65.0
## 90   53   Male               No  Radial           STEMI 44.0  168.0   75.0
## 91   63 Female               No  Radial           STEMI 44.0  150.0   55.0
## 92   54   Male               No  Radial           STEMI 44.1  176.0   78.0
## 93   79 Female               No  Radial          NSTEMI 44.1  160.0   65.0
## 94   50   Male               No  Radial           STEMI 44.2  175.0   70.0
## 95   75   Male               No  Radial          NSTEMI 44.3  168.0   60.0
## 96   57   Male               No  Radial           STEMI 44.5  177.0   72.0
## 97   69   Male               No Femoral          NSTEMI 44.6  163.0   56.0
## 98   55   Male               No  Radial Unstable Angina 44.8  162.0   58.0
## 99   79   Male               No Femoral          NSTEMI 44.9  172.0   60.0
## 100  70   Male               No Femoral           STEMI 45.0  165.0   60.0
## 101  73   Male               No Femoral           STEMI 45.0  168.0   47.0
## 103  82 Female               No  Radial Unstable Angina 45.0  150.0   55.0
## 104  44   Male               No Femoral Unstable Angina 45.1  180.0   80.0
## 105  61   Male               No Femoral           STEMI 45.3  162.0   58.0
## 106  80 Female               No Femoral           STEMI 45.4  150.0   65.0
## 107  70 Female               No  Radial           STEMI 45.4  160.0   60.0
## 109  65   Male               No  Radial           STEMI 45.6  167.0   62.0
## 110  68   Male               No Femoral          NSTEMI 45.6  177.0   79.0
## 111  70   Male               No  Radial          NSTEMI 45.7  151.0   50.0
## 112  65   Male               No  Radial Unstable Angina 45.8  162.0   65.0
## 113  51   Male               No  Radial Unstable Angina 45.9  165.0   59.0
## 114  66   Male              Yes Femoral           STEMI 46.0  168.0   58.0
## 116  56   Male               No  Radial           STEMI 46.1  167.0   74.0
## 118  78 Female               No Femoral          NSTEMI 46.4  157.0   60.0
## 119  49   Male               No  Radial          NSTEMI 46.5  162.0   66.0
## 120  84 Female               No  Radial Unstable Angina 46.6  160.0   60.0
## 121  81   Male               No Femoral          NSTEMI 46.8  165.0   65.0
## 122  53   Male               No Femoral          NSTEMI 46.9  165.0   71.0
## 123  77   Male               No  Radial           STEMI 47.0  155.0   60.0
## 124  81   Male               No  Radial           STEMI 47.0  166.0   68.0
## 125  69   Male               No  Radial           STEMI 47.0  175.0   60.0
## 126  48 Female              Yes Femoral           STEMI 47.0  160.0   60.0
## 127  76   Male               No  Radial Unstable Angina 47.0  163.0   62.0
## 128  41   Male               No  Radial           STEMI 47.1  170.0   73.0
## 129  68   Male               No  Radial           STEMI 47.2  170.0   60.0
## 130  55   Male               No  Radial           STEMI 47.2  163.0   56.0
## 131  80 Female               No  Radial          NSTEMI 47.3  156.5   67.2
## 132  81   Male               No  Radial Unstable Angina 47.3  150.0   50.0
## 133  80 Female               No  Radial           STEMI 47.3  156.0   67.2
## 134  61   Male               No  Radial           STEMI 47.4  179.0   76.0
## 135  66   Male               No Femoral          NSTEMI 47.6  158.0   50.0
## 137  64   Male               No Femoral           STEMI 47.8  174.0   70.0
## 138  62   Male               No  Radial           STEMI 48.0  167.0   85.0
## 139  72 Female               No Femoral           STEMI 48.1  163.0   55.0
## 140  72 Female               No Femoral           STEMI 48.1  160.0   58.0
## 141  74 Female               No Femoral          NSTEMI 48.1  155.0   56.0
## 142  53 Female               No  Radial          NSTEMI 48.1  160.0   63.0
## 143  51   Male               No  Radial           STEMI 48.2  178.0   70.0
## 144  47   Male               No  Radial           STEMI 48.2  175.0   80.0
## 145  69 Female               No  Radial          NSTEMI 48.2  155.0   55.0
## 146  48   Male               No  Radial           STEMI 48.3  170.0   68.0
## 147  58   Male               No  Radial          NSTEMI 48.3  168.0   76.0
## 148  74   Male               No Femoral          NSTEMI 48.6  169.0   72.0
## 149  75   Male               No  Radial          NSTEMI 48.6  160.0   58.0
## 150  58   Male               No  Radial           STEMI 48.7  168.0   60.0
## 151  64   Male               No Femoral           STEMI 48.8  162.0   72.0
## 152  70   Male               No  Radial           STEMI 48.8  176.0   77.0
## 153  69 Female               No  Radial           STEMI 48.9  153.0   63.0
## 154  61   Male               No  Radial           STEMI 48.9  167.0   60.0
## 155  38   Male               No  Radial Unstable Angina 48.9  166.0   95.0
## 156  44   Male               No  Radial           STEMI 49.0  179.0   93.0
## 157  57   Male               No Femoral           STEMI 49.0  163.0   63.0
## 158  56   Male               No  Radial           STEMI 49.0  170.0   68.0
## 159  80   Male               No  Radial          NSTEMI 49.0  170.0   62.0
## 160  85 Female               No  Radial Unstable Angina 49.1  149.0   51.0
## 161  56 Female               No Femoral          NSTEMI 49.1  155.0   58.0
## 163  84 Female               No  Radial          NSTEMI 49.2  155.0   53.0
## 164  55   Male               No Femoral           STEMI 49.3  168.0   48.0
## 165  55   Male              Yes Femoral           STEMI 49.3  168.0   48.0
## 166  54   Male               No  Radial           STEMI 49.5  170.0   78.0
## 167  78 Female               No Femoral           STEMI 49.5  150.0   42.0
## 168  82 Female               No Femoral           STEMI 49.7  150.0   42.0
## 169  66   Male               No Femoral           STEMI 49.7  180.0   67.0
## 170  71   Male               No Femoral          NSTEMI 49.9  155.0   66.0
## 171  52   Male               No  Radial           STEMI 50.0  173.0   70.0
## 172  57   Male               No Femoral          NSTEMI 50.0  175.0   84.0
## 173  82   Male               No Femoral          NSTEMI 50.0  165.0   61.0
## 174  76   Male               No Femoral Unstable Angina 50.0  160.0   56.0
## 175  49   Male               No Femoral           STEMI 50.1  164.0   65.0
## 176  62 Female               No  Radial          NSTEMI 50.1  150.0   46.0
## 177  57   Male               No  Radial           STEMI 50.3  165.0   68.0
## 178  57   Male               No  Radial          NSTEMI 50.3  174.0   67.0
## 179  81 Female               No  Radial           STEMI 50.4  164.0   50.0
## 180  53   Male               No  Radial           STEMI 50.4  176.0   74.0
## 181  72   Male              Yes Femoral           STEMI 50.5  173.0   74.0
## 182  78   Male               No  Radial Unstable Angina 50.5  170.0   60.0
## 183  53   Male               No  Radial Unstable Angina 50.6  157.0   80.0
## 184  63 Female               No  Radial           STEMI 50.8  151.0   52.0
## 185  74 Female              Yes  Radial           STEMI 51.0  149.0   50.0
## 186  54   Male               No  Radial           STEMI 51.0  163.0   72.0
## 187  81 Female               No  Radial           STEMI 51.2  150.0   45.0
## 188  63 Female               No Femoral           STEMI 51.3  156.0   61.0
## 189  81 Female               No  Radial Unstable Angina 51.3  145.0   45.0
## 191  69 Female               No Femoral           STEMI 51.5  158.0   55.0
## 192  58   Male               No Femoral           STEMI 51.6  170.0   60.0
## 193  70 Female               No Femoral Unstable Angina 51.6  150.0   45.0
## 194  56   Male               No Femoral           STEMI 51.7  172.0   80.0
## 195  63   Male               No Femoral           STEMI 51.7  165.0   60.0
## 196  54 Female               No  Radial          NSTEMI 51.7  154.0   66.0
## 197  77   Male               No  Radial Unstable Angina 51.9  165.0   60.0
## 198  55   Male               No  Radial           STEMI 52.0  164.0   60.0
## 199  48   Male               No  Radial           STEMI 52.0  165.0   75.0
## 200  62   Male               No  Radial           STEMI 52.0  170.0   62.0
## 201  65   Male              Yes  Radial           STEMI 52.0  160.0   65.0
## 202  77   Male               No Femoral           STEMI 52.0  172.0   53.0
## 203  54   Male               No  Radial           STEMI 52.0  175.0   80.0
## 204  38   Male               No  Radial           STEMI 52.1  174.0   90.0
## 205  70 Female               No  Radial Unstable Angina 52.2  141.0   63.0
## 206  49   Male               No  Radial           STEMI 52.4  177.0   86.0
## 207  69 Female               No  Radial Unstable Angina 52.4  155.0   60.0
## 208  67   Male               No  Radial Unstable Angina 52.4  160.0   50.0
## 209  36   Male               No Femoral           STEMI 52.5  184.0   76.0
## 210  70   Male              Yes  Radial           STEMI 52.6  165.0   60.0
## 211  62   Male               No  Radial           STEMI 52.6  161.0   58.0
## 212  56   Male               No  Radial           STEMI 52.8  165.0   73.0
## 213  51   Male               No Femoral           STEMI 52.8  176.0   72.0
## 214  64 Female               No Femoral          NSTEMI 52.9  155.0   58.0
## 215  75   Male               No  Radial           STEMI 53.0  170.0   55.0
## 216  41   Male               No  Radial Unstable Angina 53.0  171.0   86.0
## 217  53   Male               No  Radial           STEMI 53.0  165.0   70.0
## 218  78 Female               No Femoral           STEMI 53.0  160.0   70.0
## 219  51 Female               No  Radial Unstable Angina 53.0  160.0   63.0
## 221  66   Male               No Femoral Unstable Angina 53.2  164.0   54.0
## 222  68   Male               No Femoral           STEMI 53.5  160.0   59.0
## 223  61   Male               No Femoral           STEMI 53.6  158.0   65.0
## 224  59   Male               No  Radial          NSTEMI 53.6  165.0   68.0
## 225  77 Female               No  Radial          NSTEMI 53.7  155.0   55.0
## 226  49 Female               No  Radial           STEMI 53.8  156.0   46.0
## 227  57   Male               No Femoral Unstable Angina 53.8  169.0   55.0
## 228  52   Male               No  Radial           STEMI 54.0  165.0   70.0
## 229  77 Female               No Femoral           STEMI 54.0  160.0   58.0
## 230  56   Male               No  Radial           STEMI 54.0  169.0   70.0
## 231  46 Female               No  Radial           STEMI 54.0  158.0   57.0
## 232  71 Female               No Femoral Unstable Angina 54.0  140.0   47.0
## 233  62 Female               No Femoral Unstable Angina 54.0  161.0   66.0
## 234  41   Male               No  Radial           STEMI 54.2  178.0   72.0
## 236  56   Male               No  Radial          NSTEMI 54.2  170.0   71.0
## 237  70 Female               No  Radial Unstable Angina 54.3  155.0   60.0
## 238  67 Female               No  Radial           STEMI 54.5  155.0   66.0
## 239  70 Female               No  Radial Unstable Angina 54.6  145.0   45.0
## 240  78   Male               No Femoral Unstable Angina 54.6  175.0   74.0
## 241  87   Male               No  Radial Unstable Angina 54.7  165.0   62.0
## 242  81 Female               No  Radial           STEMI 54.8  160.0   58.0
## 244  56   Male               No  Radial          NSTEMI 54.8  170.0   76.0
## 245  78 Female               No Femoral Unstable Angina 54.8  151.0   60.0
## 246  47   Male               No Femoral           STEMI 54.9  178.0   68.0
## 247  60   Male               No  Radial           STEMI 54.9  183.0   83.0
## 248  69   Male               No Femoral Unstable Angina 54.9  164.0   87.0
## 249  61   Male               No  Radial           STEMI 55.0  160.0   65.0
## 250  52   Male               No  Radial           STEMI 55.0  177.0   85.0
## 251  61   Male               No Femoral           STEMI 55.0  170.0   74.0
## 252  58   Male               No Femoral           STEMI 55.0  168.0   61.0
## 253  51   Male               No Femoral          NSTEMI 55.0  160.0   81.0
## 254  58   Male               No  Radial          NSTEMI 55.0  174.0   74.0
## 255  35   Male               No  Radial Unstable Angina 55.0  170.0   87.0
## 256  71   Male               No  Radial           STEMI 55.1  166.0   60.0
## 257  46   Male               No  Radial          NSTEMI 55.1  165.0   63.0
## 258  40   Male               No Femoral Unstable Angina 55.1  175.0   80.0
## 259  57   Male               No  Radial Unstable Angina 55.1  160.0   70.0
## 260  70   Male               No  Radial Unstable Angina 55.1  169.0   78.0
## 261  71   Male               No  Radial           STEMI 55.2  165.0   50.0
## 262  45 Female               No Femoral Unstable Angina 55.2  150.0   45.0
## 263  43   Male               No  Radial          NSTEMI 55.3  180.0   78.0
## 264  41   Male               No Femoral           STEMI 55.4  170.0   69.0
## 265  57   Male               No  Radial Unstable Angina 55.4  153.0   53.0
## 266  74   Male               No Femoral Unstable Angina 55.4  165.0   68.0
## 267  60   Male               No  Radial           STEMI 55.5  172.0   85.0
## 268  57   Male               No Femoral          NSTEMI 55.5  169.0   68.0
## 269  51   Male               No Femoral          NSTEMI 55.5  178.0   85.0
## 270  37   Male               No Femoral           STEMI 55.6  174.0   75.0
## 271  90 Female               No  Radial Unstable Angina 55.6  141.0   52.0
## 272  76   Male              Yes Femoral           STEMI 55.7  172.0   82.0
## 273  58   Male              Yes  Radial           STEMI 55.7  162.0   60.0
## 274  69 Female               No Femoral           STEMI 55.7  150.0   65.0
## 275  70 Female               No  Radial           STEMI 55.7  160.0   58.0
## 276  50   Male               No Femoral          NSTEMI 55.7  170.0   72.0
## 277  74   Male               No  Radial          NSTEMI 55.8  168.0   73.0
## 278  73   Male               No  Radial Unstable Angina 55.8  175.0   84.0
## 280  60   Male               No  Radial           STEMI 55.9  160.0   50.0
## 281  60   Male               No  Radial           STEMI 55.9  173.0   67.0
## 282  85 Female               No  Radial           STEMI 55.9  154.0   55.0
## 284  72   Male               No  Radial Unstable Angina 56.0  178.0   70.0
## 285  70   Male               No  Radial           STEMI 56.0  165.0   74.0
## 286  49   Male               No  Radial Unstable Angina 56.0  177.0   82.0
## 287  70   Male               No  Radial Unstable Angina 56.0  166.0   67.0
## 288  49   Male               No  Radial Unstable Angina 56.0  177.0   82.0
## 289  53   Male               No  Radial Unstable Angina 56.0  174.0   67.0
## 290  74 Female               No Femoral Unstable Angina 56.0  150.0   57.0
## 291  49   Male               No Femoral          NSTEMI 56.0  172.0   74.0
## 292  43   Male               No  Radial           STEMI 56.1  183.0   81.0
## 293  43   Male               No Femoral           STEMI 56.1  173.0   93.0
## 294  68   Male               No  Radial Unstable Angina 56.1  162.5   53.3
## 295  68   Male               No  Radial Unstable Angina 56.1  162.5   53.3
## 296  78   Male               No Femoral          NSTEMI 56.1  160.0   70.0
## 297  35   Male               No  Radial           STEMI 56.2  171.0   70.0
## 298  52   Male               No Femoral Unstable Angina 56.2  170.0   62.0
## 299  58   Male               No Femoral Unstable Angina 56.2  165.0   78.0
## 300  67   Male               No  Radial Unstable Angina 56.2  170.0   62.0
## 301  76 Female               No Femoral Unstable Angina 56.2  143.0   48.0
## 302  56   Male               No  Radial          NSTEMI 56.3  163.0   62.0
## 303  55   Male               No  Radial           STEMI 56.3  178.0   81.0
## 304  72   Male               No  Radial           STEMI 56.3  165.0   64.0
## 305  46   Male               No  Radial          NSTEMI 56.3  169.0   55.0
## 306  78 Female               No  Radial          NSTEMI 56.4  149.0   50.0
## 307  58   Male               No Femoral           STEMI 56.4  160.0   67.0
## 308  58   Male               No Femoral Unstable Angina 56.4  174.0   70.0
## 309  62   Male               No  Radial Unstable Angina 56.4  160.0   60.0
## 310  83 Female               No Femoral           STEMI 56.5  160.0   65.0
## 311  62   Male               No  Radial           STEMI 56.5  165.0   75.0
## 312  65 Female               No  Radial           STEMI 56.5  158.0   59.0
## 313  50   Male               No  Radial Unstable Angina 56.5  174.0   78.0
## 314  61   Male               No  Radial Unstable Angina 56.5  130.0   70.0
## 315  86 Female               No  Radial Unstable Angina 56.5  155.0   58.0
## 316  52   Male               No  Radial Unstable Angina 56.5  168.0   79.0
## 317  65   Male               No  Radial Unstable Angina 56.5  169.0   63.0
## 318  68   Male               No  Radial Unstable Angina 56.5  164.0   63.0
## 319  46   Male               No  Radial Unstable Angina 56.6  165.0   71.0
## 320  61   Male               No Femoral           STEMI 56.6  158.0   50.0
## 321  57   Male               No Femoral           STEMI 56.7  170.0   89.0
## 322  40   Male               No  Radial           STEMI 56.7  173.0   76.0
## 323  69 Female               No Femoral          NSTEMI 56.7  158.0   80.0
## 324  71 Female               No  Radial           STEMI 56.8  144.0   45.0
## 325  63   Male               No  Radial Unstable Angina 56.8  175.0   81.0
## 326  52   Male               No Femoral           STEMI 56.9  175.0   83.0
## 327  41   Male               No  Radial Unstable Angina 56.9  178.0   87.0
## 328  55   Male               No Femoral           STEMI 57.0  175.0   68.0
## 330  77   Male               No Femoral Unstable Angina 57.1  168.0   63.0
## 331  67 Female               No  Radial Unstable Angina 57.2  168.0   52.0
## 332  65   Male               No Femoral Unstable Angina 57.2  160.0   63.0
## 333  73   Male               No  Radial Unstable Angina 57.2  160.0   59.0
## 334  72   Male               No Femoral Unstable Angina 57.3  161.0   63.0
## 335  61   Male               No Femoral Unstable Angina 57.3  169.0   61.0
## 336  70 Female               No Femoral Unstable Angina 57.3  145.0   45.0
## 337  59   Male               No  Radial Unstable Angina 57.3  159.0   57.0
## 338  59   Male               No  Radial Unstable Angina 57.3  160.0   70.0
## 339  47   Male               No  Radial           STEMI 57.4  170.0   70.0
## 340  64   Male               No  Radial           STEMI 57.4  168.0   57.0
## 341  44   Male               No Femoral           STEMI 57.4  180.0   97.0
## 342  53 Female               No  Radial Unstable Angina 57.4  151.0   58.0
## 343  69   Male               No Femoral Unstable Angina 57.6  159.0   66.0
## 344  58   Male               No Femoral Unstable Angina 57.6  162.0   73.0
## 345  64 Female               No  Radial Unstable Angina 57.7  165.0   74.0
## 346  77 Female               No Femoral Unstable Angina 57.8  158.0   60.0
## 347  48   Male               No  Radial Unstable Angina 57.9  171.0   77.0
## 348  62   Male               No  Radial           STEMI 57.9  168.0   73.0
## 349  66   Male               No  Radial           STEMI 58.0  175.0   82.0
## 351  69   Male               No Femoral           STEMI 58.0  163.0   65.0
## 352  68   Male               No  Radial           STEMI 58.0  165.0   63.0
## 353  41   Male               No  Radial Unstable Angina 58.0  169.0   70.0
## 354  68 Female               No Femoral          NSTEMI 58.0  155.0   51.0
## 355  75   Male               No  Radial          NSTEMI 58.0  177.0   73.0
## 356  73   Male               No  Radial          NSTEMI 58.0  165.0   60.0
## 357  56   Male               No  Radial           STEMI 58.1  168.0   65.0
## 358  46   Male              Yes Femoral           STEMI 58.1  170.0   76.0
## 359  55   Male               No  Radial           STEMI 58.1  163.0   68.0
## 360  61   Male               No Femoral           STEMI 58.1  168.0   74.0
## 361  68 Female               No  Radial Unstable Angina 58.1  158.0   60.0
## 362  55   Male               No Femoral Unstable Angina 58.1  170.0   70.0
## 363  57 Female               No Femoral           STEMI 58.2  164.0   68.0
## 364  50   Male               No  Radial Unstable Angina 58.2  165.0   78.0
## 365  69   Male               No  Radial Unstable Angina 58.2  173.0   74.0
## 366  44   Male               No  Radial           STEMI 58.3  175.0   90.0
## 367  38   Male               No  Radial           STEMI 58.3  173.0   95.0
## 368  83   Male               No  Radial           STEMI 58.3  165.0   67.0
## 369  70   Male               No  Radial           STEMI 58.3  168.0   70.0
## 370  76 Female               No Femoral           STEMI 58.4  145.0   56.0
## 371  53 Female               No  Radial Unstable Angina 58.4  165.0   75.0
## 372  37   Male               No  Radial          NSTEMI 58.4  163.0   66.0
## 373  49   Male               No  Radial          NSTEMI 58.4  158.0   56.0
## 374  57   Male               No  Radial           STEMI 58.5  170.0   75.0
## 375  51   Male               No  Radial          NSTEMI 58.5  169.0   68.0
## 376  64   Male               No  Radial           STEMI 58.6  157.0   64.0
## 377  53   Male               No  Radial           STEMI 58.6  168.0   62.0
## 378  77   Male               No Femoral Unstable Angina 58.6  160.0   59.0
## 379  46 Female               No Femoral          NSTEMI 58.6  155.0   55.0
## 380  65 Female               No  Radial           STEMI 58.7  160.0   67.0
## 381  65 Female               No  Radial           STEMI 58.7  160.0   67.0
## 382  77 Female               No Femoral           STEMI 58.7  150.0   50.0
## 384  67 Female               No  Radial Unstable Angina 58.7  150.0   50.0
## 385  37   Male               No  Radial           STEMI 58.8  170.0  106.0
## 386  73   Male               No  Radial           STEMI 58.8  160.0   45.0
## 387  51   Male               No  Radial          NSTEMI 58.8  175.0   69.0
## 388  61   Male               No  Radial          NSTEMI 58.8  164.0   78.0
## 389  71   Male               No Femoral          NSTEMI 58.8  168.0   70.0
## 390  81 Female               No  Radial           STEMI 58.9  148.0   45.0
## 391  58   Male               No Femoral           STEMI 58.9  170.0   65.0
## 392  71   Male               No  Radial Unstable Angina 58.9  172.0   80.0
## 394  64 Female               No  Radial           STEMI 59.0  165.0   71.0
## 395  59 Female               No  Radial           STEMI 59.0  158.0   60.0
## 396  51   Male               No Femoral           STEMI 59.0  170.0   60.0
## 397  86   Male               No Femoral           STEMI 59.0  165.0   55.0
## 398  60   Male               No  Radial Unstable Angina 59.0  163.0   62.0
## 399  60 Female               No Femoral Unstable Angina 59.0  151.0   66.0
## 400  71 Female               No Femoral Unstable Angina 59.0  154.0   52.0
## 401  56   Male               No  Radial Unstable Angina 59.0  160.0   62.0
## 402  42   Male               No  Radial          NSTEMI 59.1  172.0   73.0
## 403  68   Male               No Femoral Unstable Angina 59.1  177.0   78.0
## 404  46 Female               No  Radial Unstable Angina 59.1  150.0   60.0
## 406  72   Male               No Femoral Unstable Angina 59.1  170.0   56.0
## 407  66   Male               No Femoral           STEMI 59.2  170.0   65.0
## 408  81   Male               No  Radial Unstable Angina 59.2  167.0   50.0
## 409  60 Female               No Femoral Unstable Angina 59.2  159.0   85.0
## 410  52   Male               No  Radial           STEMI 59.3  163.0   70.0
## 411  75 Female               No  Radial Unstable Angina 59.3  155.0   55.0
## 412  48 Female               No  Radial          NSTEMI 59.3  158.0   53.0
## 414  78 Female               No  Radial Unstable Angina 59.3  155.0   57.0
## 415  79   Male               No Femoral           STEMI 59.4  168.0   60.0
## 416  58   Male               No  Radial Unstable Angina 59.4  160.0   69.0
## 417  60   Male               No  Radial Unstable Angina 59.4  174.0   80.0
## 418  64   Male               No  Radial          NSTEMI 59.4  167.0   62.0
## 419  57   Male               No  Radial          NSTEMI 59.4  168.0   73.0
## 420  60   Male               No  Radial          NSTEMI 59.4  167.0   66.0
## 421  72   Male               No  Radial Unstable Angina 59.5  165.0   78.0
## 422  57   Male               No Femoral Unstable Angina 59.5  169.0   75.0
## 423  79 Female               No Femoral Unstable Angina 59.5  150.0   55.0
## 424  59   Male               No  Radial Unstable Angina 59.5  174.0   78.0
## 425  65   Male               No  Radial Unstable Angina 59.5  167.0   74.0
## 426  61   Male               No  Radial Unstable Angina 59.5  167.0   68.0
## 427  75 Female               No  Radial Unstable Angina 59.5  152.0   61.0
## 428  55   Male               No  Radial          NSTEMI 59.6  165.0   52.0
## 429  50   Male               No Femoral Unstable Angina 59.6  160.0   67.0
## 431  81 Female               No  Radial Unstable Angina 59.6  150.0   49.0
## 432  52   Male               No  Radial Unstable Angina 59.6  163.0   65.0
## 433  55   Male               No  Radial          NSTEMI 59.7  166.0   65.0
## 434  59   Male               No Femoral Unstable Angina 59.7  161.0   68.0
## 435  54 Female               No  Radial Unstable Angina 59.7  154.0   65.0
## 436  72   Male               No  Radial Unstable Angina 59.7  162.0   64.0
## 437  56   Male               No  Radial           STEMI 59.8  170.0   80.0
## 438  65 Female               No Femoral           STEMI 59.8  145.0   45.0
## 440  49   Male               No  Radial Unstable Angina 59.8  180.0   97.0
## 441  51   Male               No Femoral          NSTEMI 59.8  172.0   70.0
## 442  48   Male              Yes Femoral           STEMI 59.9  173.0   67.0
## 443  56 Female               No  Radial Unstable Angina 59.9  159.0   65.0
## 444  65   Male               No Femoral Unstable Angina 59.9  168.0   65.0
## 445  68   Male               No  Radial           STEMI 60.0  175.0   75.0
## 446  73 Female               No Femoral           STEMI 60.0  150.0   44.0
## 447  68 Female               No  Radial           STEMI 60.0  158.0   76.0
## 448  64   Male              Yes  Radial           STEMI 60.0  165.0   63.0
## 449  71 Female               No  Radial Unstable Angina 60.0  145.0   50.0
## 450  53   Male               No Femoral Unstable Angina 60.0  173.0   71.0
## 451  74 Female               No  Radial Unstable Angina 60.0  140.0   45.0
## 452  58   Male               No  Radial          NSTEMI 60.0  170.0   75.0
## 453  55   Male               No  Radial Unstable Angina 60.0  167.0   62.0
## 455  48   Male               No Femoral           STEMI 60.1  164.0   72.0
## 456  75   Male               No  Radial Unstable Angina 60.1  163.0   50.0
## 457  28   Male               No  Radial          NSTEMI 60.1  168.0   52.0
## 458  62 Female               No  Radial Unstable Angina 60.1  155.0   60.0
## 459  62   Male               No Femoral           STEMI 60.2  160.0   50.0
## 460  79 Female              Yes  Radial           STEMI 60.2  155.0   60.0
## 461  53   Male               No  Radial Unstable Angina 60.2  162.0   68.0
## 462  67   Male               No  Radial Unstable Angina 60.2  163.0   60.0
## 463  68   Male               No  Radial Unstable Angina 60.2  173.0   75.0
## 464  70 Female               No  Radial Unstable Angina 60.2  152.0   56.0
## 465  54   Male               No  Radial Unstable Angina 60.2  162.0   67.0
## 466  76 Female               No  Radial Unstable Angina 60.4  155.0   55.0
## 467  47   Male               No  Radial          NSTEMI 60.4  175.0   76.0
## 468  56   Male               No  Radial          NSTEMI 60.5  172.0   61.0
## 469  70   Male               No Femoral Unstable Angina 60.5  168.0   65.0
## 470  68 Female               No  Radial           STEMI 60.6  164.0   75.0
## 471  79 Female               No  Radial Unstable Angina 60.6  148.0   40.0
## 472  47   Male               No Femoral          NSTEMI 60.6  170.0   78.0
## 473  62   Male              Yes Femoral           STEMI 60.7  171.0   48.0
## 474  66   Male               No  Radial Unstable Angina 60.7  169.0   63.0
## 475  48   Male               No  Radial Unstable Angina 60.7  171.0   62.0
## 476  73   Male               No  Radial Unstable Angina 60.8  170.0   70.0
## 477  81   Male              Yes  Radial           STEMI 61.0  170.0   77.0
## 478  77   Male               No  Radial           STEMI 61.0  167.0   66.0
## 479  73 Female               No Femoral           STEMI 61.0  160.0   60.0
## 480  49 Female               No Femoral           STEMI 61.0  157.0   55.0
## 481  68   Male               No Femoral           STEMI 61.0  170.0   75.0
## 482  36   Male               No Femoral           STEMI 61.0  178.0   68.0
## 483  65 Female               No  Radial Unstable Angina 61.0  164.0   62.0
## 484  75   Male               No  Radial Unstable Angina 61.0  165.0   72.0
## 485  50   Male               No  Radial Unstable Angina 61.0  170.0   60.0
## 486  75   Male               No  Radial Unstable Angina 61.0  165.0   72.0
## 487  73 Female               No Femoral Unstable Angina 61.0  152.0   57.0
## 490  43 Female               No  Radial Unstable Angina 61.0  164.0   56.0
## 491  57   Male               No  Radial Unstable Angina 61.0  168.0   72.0
## 492  55   Male               No  Radial Unstable Angina 61.0  168.0   82.0
## 493  81   Male               No  Radial           STEMI 61.0  170.0   77.0
## 494  55   Male               No Femoral           STEMI 61.1  176.0   90.0
## 495  59   Male               No  Radial Unstable Angina 61.2  175.0   78.0
## 496  79 Female               No  Radial Unstable Angina 61.2  140.0   45.0
## 497  58   Male               No  Radial Unstable Angina 61.2  166.0   63.0
## 498  63 Female               No Femoral          NSTEMI 61.3  153.0   90.0
## 499  58   Male              Yes  Radial           STEMI 61.3  161.0   66.0
## 500  63 Female              Yes Femoral           STEMI 61.3  159.0   63.0
## 501  52   Male               No  Radial           STEMI 61.3  163.0   64.0
## 502  64 Female               No  Radial Unstable Angina 61.3  155.0   46.0
## 503  62   Male               No  Radial          NSTEMI 61.3  165.0   72.0
## 504  67   Male               No  Radial           STEMI 61.4  163.0   66.0
## 505  65   Male               No  Radial          NSTEMI 61.4  173.0   67.0
## 506  51   Male               No Femoral Unstable Angina 61.4  173.0   79.0
## 507  48 Female               No  Radial           STEMI 61.5  165.0   58.0
## 510  78   Male               No Femoral          NSTEMI 61.5  178.0   73.0
## 511  75   Male               No  Radial           STEMI 61.6  162.0   45.0
## 512  61 Female               No  Radial           STEMI 61.6  155.0   75.0
## 513  45   Male               No  Radial           STEMI 61.6  166.0   70.0
## 514  55 Female               No Femoral          NSTEMI 61.6  153.0   62.0
## 515  42   Male               No  Radial          NSTEMI 61.6  163.0   71.0
## 516  82 Female               No Femoral          NSTEMI 61.7  150.0   50.0
## 517  53   Male               No  Radial          NSTEMI 61.7  164.0   70.0
## 518  49 Female               No  Radial Unstable Angina 61.7  162.0   67.0
## 519  75 Female               No  Radial           STEMI 61.8  157.0   61.0
## 520  79 Female               No Femoral          NSTEMI 61.8  140.0   66.0
## 521  47 Female               No  Radial           STEMI 61.8  153.0   70.0
## 522  83 Female               No  Radial          NSTEMI 61.8  149.0   49.0
## 523  78   Male               No  Radial          NSTEMI 61.8  165.0   70.0
## 524  82 Female               No Femoral          NSTEMI 61.8  158.0   65.0
## 525  80 Female               No Femoral           STEMI 61.9  156.0   57.0
## 526  80 Female               No Femoral           STEMI 61.9  156.0   57.0
## 527  58   Male               No  Radial          NSTEMI 61.9  177.0   79.0
## 528  69 Female               No Femoral          NSTEMI 61.9  158.0   64.0
## 529  67   Male               No  Radial           STEMI 62.0  165.0   56.0
## 530  51   Male               No  Radial           STEMI 62.0  170.0   95.0
## 531  62   Male               No  Radial           STEMI 62.0  170.0   80.0
## 533  59   Male               No  Radial          NSTEMI 62.0  168.0   75.0
## 534  44 Female               No  Radial Unstable Angina 62.0  150.0   51.0
## 535  56   Male               No  Radial Unstable Angina 62.0  170.0   75.0
## 536  49   Male               No  Radial Unstable Angina 62.0  172.0   68.0
## 537  59   Male               No  Radial          NSTEMI 62.2  172.0   86.0
## 538  48 Female               No  Radial Unstable Angina 62.2  153.0   51.0
## 539  47 Female               No  Radial Unstable Angina 62.2  160.0   58.0
## 540  56   Male               No  Radial Unstable Angina 62.2  174.0   83.0
## 541  81   Male               No  Radial           STEMI 62.3  172.0   55.0
## 542  51 Female               No Femoral           STEMI 62.4  161.0   63.0
## 543  85 Female               No  Radial Unstable Angina 62.4  130.0   30.0
## 544  74   Male               No  Radial Unstable Angina 62.4  163.0   71.0
## 545  50 Female               No  Radial Unstable Angina 62.4  152.0   60.0
## 546  56 Female               No Femoral Unstable Angina 62.5  157.0   58.0
## 547  64   Male               No  Radial Unstable Angina 62.6  162.0   80.0
## 548  55 Female               No Femoral Unstable Angina 62.6  154.0   72.0
## 549  50   Male               No  Radial          NSTEMI 62.6  168.0   63.0
## 550  84   Male               No Femoral           STEMI 62.7  168.0   79.0
## 551  64   Male               No  Radial Unstable Angina 62.7  163.0   62.0
## 552  70   Male               No  Radial          NSTEMI 62.7  165.0   65.0
## 553  68 Female               No  Radial Unstable Angina 62.7  148.0   52.0
## 554  48   Male               No  Radial Unstable Angina 62.8  164.0   60.0
## 555  61   Male               No  Radial Unstable Angina 62.8  165.0   67.0
## 556  49 Female               No Femoral Unstable Angina 62.8  150.0   48.0
## 557  55   Male               No Femoral          NSTEMI 62.9  164.0   73.0
## 559  78   Male               No  Radial           STEMI 63.0  160.0   58.0
## 560  87 Female               No Femoral Unstable Angina 63.0  140.0   42.0
## 561  75   Male               No Femoral Unstable Angina 63.0  153.0   63.0
## 562  76 Female               No  Radial Unstable Angina 63.0  153.0   50.0
## 563  66   Male               No Femoral Unstable Angina 63.0  168.0   61.0
## 564  80   Male               No  Radial Unstable Angina 63.0  170.0   78.0
## 565  52 Female               No Femoral Unstable Angina 63.0  158.0   60.0
## 566  70 Female               No Femoral           STEMI 63.1  153.0   43.0
## 567  52   Male               No  Radial           STEMI 63.1  172.0   76.0
## 568  75 Female               No  Radial Unstable Angina 63.1  144.0   39.0
## 569  51   Male               No  Radial Unstable Angina 63.2  168.0   62.0
## 570  41   Male               No  Radial           STEMI 63.3  163.0   64.0
## 571  64 Female               No  Radial          NSTEMI 63.3  155.0   62.0
## 572  62 Female               No  Radial           STEMI 63.4  156.0   52.0
## 573  70 Female               No  Radial           STEMI 63.4  160.0   62.0
## 574  63 Female              Yes Femoral           STEMI 63.4  150.0   66.0
## 575  67 Female               No  Radial Unstable Angina 63.4  147.0   51.0
## 576  80 Female               No  Radial          NSTEMI 63.4  158.0   51.0
## 577  80 Female               No  Radial Unstable Angina 63.4  148.0   57.0
## 578  49 Female               No Femoral Unstable Angina 63.5  159.0   63.0
## 580  49   Male               No  Radial Unstable Angina 63.5  170.0   68.0
## 581  72   Male               No Femoral Unstable Angina 63.5  160.0   58.0
## 582  79 Female               No Femoral          NSTEMI 63.6  154.0   61.0
## 583  78 Female               No Femoral Unstable Angina 63.6  145.0   58.0
## 584  54   Male               No  Radial          NSTEMI 63.7  175.0   74.0
## 585  65   Male               No  Radial Unstable Angina 63.7  170.0   77.0
## 586  62   Male               No Femoral Unstable Angina 63.7  182.0   66.0
## 587  62   Male               No  Radial Unstable Angina 63.7  168.0   64.0
## 588  70   Male              Yes Femoral           STEMI 63.8  172.0   72.0
## 589  67   Male               No  Radial Unstable Angina 63.8  166.0   45.0
## 590  75 Female               No  Radial          NSTEMI 63.8  153.0   55.0
## 591  67   Male               No  Radial Unstable Angina 63.8  166.0   45.0
## 592  69   Male               No  Radial          NSTEMI 63.8  158.0   65.0
## 594  54   Male               No Femoral Unstable Angina 63.8  151.0   68.0
## 595  62   Male               No  Radial Unstable Angina 63.9  172.0   76.0
## 596  65 Female               No Femoral Unstable Angina 63.9  150.0   43.0
## 597  78 Female               No  Radial Unstable Angina 63.9  150.0   40.0
## 598  57   Male               No  Radial          NSTEMI 64.0  163.0   55.0
## 599  51   Male               No  Radial          NSTEMI 64.0  176.0   80.0
## 600  74   Male               No  Radial          NSTEMI 64.0  168.0   70.0
## 601  78 Female               No  Radial Unstable Angina 64.0  155.0   60.0
## 602  71 Female               No Femoral Unstable Angina 64.0  150.0   48.0
## 603  65 Female               No  Radial          NSTEMI 64.0  161.0   51.0
## 604  85   Male               No  Radial Unstable Angina 64.1  171.0   60.0
## 605  44   Male               No  Radial Unstable Angina 64.2  176.0   73.0
## 606  54   Male               No  Radial Unstable Angina 64.2  170.0   66.0
## 607  73 Female               No  Radial Unstable Angina 64.2  165.0   62.0
## 608  53   Male               No Femoral Unstable Angina 64.2  160.0   63.0
## 609  59   Male               No Femoral Unstable Angina 64.2  170.0   85.0
## 610  68 Female               No  Radial Unstable Angina 64.3  154.0   76.0
## 611  49   Male               No  Radial Unstable Angina 64.3  185.0  100.0
## 612  59   Male               No  Radial Unstable Angina 64.3  174.0   67.0
## 613  65   Male               No  Radial          NSTEMI 64.3  160.0   70.8
## 614  75 Female               No  Radial Unstable Angina 64.3  158.0   67.0
## 615  74 Female               No Femoral           STEMI 64.5  150.0   59.0
## 616  67 Female               No  Radial Unstable Angina 64.5  165.0   66.0
## 617  57 Female               No Femoral Unstable Angina 64.5  150.0   65.0
## 618  51 Female               No Femoral Unstable Angina 64.6  164.0   42.0
## 619  51 Female               No Femoral          NSTEMI 64.6  164.0   42.0
## 620  45   Male               No Femoral           STEMI 64.7  174.0   74.0
## 621  61   Male               No  Radial Unstable Angina 64.8  170.0   72.0
## 622  66   Male               No Femoral Unstable Angina 64.8  167.0   71.0
## 623  53 Female               No  Radial Unstable Angina 64.8  150.0   53.0
## 624  66   Male               No  Radial Unstable Angina 64.8  168.0   69.0
## 625  65   Male               No Femoral           STEMI 64.9  169.0   68.0
## 626  62 Female               No Femoral           STEMI 64.9  158.0   67.0
## 627  68   Male               No  Radial          NSTEMI 65.0  159.0   59.0
## 629  60   Male               No  Radial           STEMI 65.0  168.0   70.0
## 630  65   Male               No Femoral Unstable Angina 65.0  167.0   55.0
## 631  80 Female               No  Radial          NSTEMI 65.0  140.0   40.0
## 632  73 Female               No  Radial Unstable Angina 65.0  151.0   60.0
## 633  64   Male               No  Radial          NSTEMI 65.0  168.0   69.0
## 634  70 Female               No Femoral Unstable Angina 65.0  140.0   56.0
## 635  41   Male               No  Radial Unstable Angina 65.0  152.0   50.0
## 636  70 Female               No Femoral Unstable Angina 65.2  151.0   55.0
## 637  57 Female               No Femoral Unstable Angina 65.3  151.0   94.0
## 638  71 Female               No  Radial Unstable Angina 65.3  148.0   55.0
## 639  77   Male               No  Radial           STEMI 65.4  167.0   55.0
## 640  69 Female               No Femoral Unstable Angina 65.4  151.0   67.0
## 641  58   Male               No Femoral Unstable Angina 65.4  160.0   66.0
## 642  68   Male               No  Radial Unstable Angina 65.5  169.0   80.0
## 643  74 Female               No Femoral Unstable Angina 65.5  160.0   55.0
## 644  67   Male               No  Radial Unstable Angina 65.6  173.0   81.0
## 645  51   Male              Yes  Radial           STEMI 65.7  168.0   70.0
## 646  60   Male               No  Radial Unstable Angina 65.7  167.0   78.0
## 647  60   Male               No  Radial Unstable Angina 65.7  167.0   78.0
## 648  66 Female               No  Radial Unstable Angina 65.8  158.0   63.0
## 649  88 Female               No Femoral          NSTEMI 65.8  150.0   50.0
## 650  63   Male               No  Radial          NSTEMI 65.9  160.0   70.0
## 651  88   Male               No  Radial Unstable Angina 66.0  168.0   55.0
## 652  40   Male               No Femoral          NSTEMI 66.0  168.0   62.0
## 653  52   Male               No  Radial Unstable Angina 66.0  178.0   99.0
## 654  65 Female               No  Radial Unstable Angina 66.0  151.0   57.0
## 655  79 Female               No  Radial Unstable Angina 66.0  154.0   63.0
## 656  73   Male               No Femoral Unstable Angina 66.1  160.0   60.0
## 657  53 Female               No Femoral Unstable Angina 66.1  150.0   61.0
## 658  74 Female               No Femoral Unstable Angina 66.2  153.0   55.0
## 659  61   Male               No  Radial Unstable Angina 66.2  183.0  112.0
## 660  56   Male               No  Radial Unstable Angina 66.3  176.0   70.0
## 661  75 Female               No  Radial Unstable Angina 66.3  158.0   60.0
## 662  72 Female               No  Radial Unstable Angina 66.3  153.0   45.0
## 663  56   Male               No  Radial Unstable Angina 66.4  166.0   55.0
## 664  68   Male               No Femoral Unstable Angina 66.4  163.0   59.0
## 665  48   Male               No  Radial Unstable Angina 66.4  161.0   57.0
## 666  41   Male               No  Radial Unstable Angina 66.4  163.0   57.0
## 667  87   Male               No  Radial Unstable Angina 66.4  168.0   55.0
## 669  64 Female               No  Radial Unstable Angina 66.5  160.0   62.0
## 670  69   Male               No Femoral          NSTEMI 66.7  179.0   70.0
## 671  73   Male               No  Radial Unstable Angina 66.7  170.0   76.0
## 672  55   Male              Yes Femoral           STEMI 66.9  178.0   65.0
## 673  79   Male               No  Radial Unstable Angina 66.9  169.0   77.0
## 674  68   Male               No  Radial Unstable Angina 66.9  165.0   67.0
## 675  68   Male               No  Radial Unstable Angina 66.9  165.0   65.0
## 676  65 Female               No Femoral           STEMI 67.0  158.0   64.0
## 677  58   Male               No  Radial Unstable Angina 67.0  167.0   67.0
## 678  72   Male               No Femoral Unstable Angina 67.0  164.0   50.0
## 679  68   Male               No  Radial Unstable Angina 67.0  180.0   82.0
## 680  70 Female              Yes Femoral           STEMI 67.1  150.0   44.0
## 681  41   Male               No  Radial          NSTEMI 67.1  175.0   92.0
## 682  44   Male               No  Radial           STEMI 67.2  173.0   69.0
## 683  67   Male               No  Radial Unstable Angina 67.2  169.0   69.0
## 684  61   Male               No  Radial Unstable Angina 67.2  160.0   67.0
## 685  51   Male               No  Radial Unstable Angina 67.2  167.0   73.0
## 686  64   Male               No  Radial Unstable Angina 67.4  155.0   53.0
## 688  56   Male               No Femoral Unstable Angina 67.5  166.0   76.0
## 689  74 Female               No  Radial Unstable Angina 67.6  155.0   61.0
## 690  75 Female               No  Radial Unstable Angina 67.7  140.0   50.0
## 692  67 Female               No Femoral Unstable Angina 68.0  160.0   60.0
## 693  77 Female               No  Radial Unstable Angina 68.0  157.0   57.0
## 694  52   Male               No  Radial Unstable Angina 68.0  169.0   69.0
## 695  39 Female               No  Radial Unstable Angina 68.2  159.0   54.0
## 697  52 Female               No Femoral Unstable Angina 68.4  148.0   60.0
## 698  41   Male               No  Radial Unstable Angina 68.6  180.0   84.0
## 699  66   Male               No Femoral          NSTEMI 69.0  170.0   67.0
## 700  67   Male               No  Radial Unstable Angina 69.1  170.0   51.0
## 701  46   Male               No  Radial Unstable Angina 69.7  165.0   71.0
## 702  68   Male               No Femoral Unstable Angina 69.9  170.0   54.0
## 703  71 Female               No Femoral Unstable Angina 70.0  145.0   58.0
## 705  73 Female               No  Radial Unstable Angina 70.0  148.0   51.0
## 706  83 Female               No  Radial Unstable Angina 70.2  145.0   60.0
## 707  76 Female               No  Radial Unstable Angina 70.2  150.0   70.0
## 708  68 Female               No  Radial Unstable Angina 71.1  158.0   56.0
## 709  51   Male               No  Radial Unstable Angina 71.5  175.0   70.0
## 710  61   Male               No  Radial Unstable Angina 71.6  165.0   74.0
## 711  61   Male               No  Radial Unstable Angina 71.9  165.0   55.0
## 712  66 Female               No Femoral Unstable Angina 71.9  160.0   60.0
## 713  47   Male               No  Radial          NSTEMI 72.0  170.0   67.0
## 715  59   Male               No  Radial Unstable Angina 73.0  170.0   64.0
## 717  77   Male               No  Radial Unstable Angina 74.0  172.0   76.0
## 718  62   Male               No Femoral          NSTEMI 74.0  163.0   74.0
## 719  62 Female               No  Radial          NSTEMI 75.0  160.0   68.0
## 720  40   Male               No Femoral Unstable Angina 78.1  169.0   74.0
## 721  40   Male               No Femoral Unstable Angina 78.1  169.0   74.0
## 722  91   Male               No  Radial Unstable Angina 79.0  170.0   60.0
##          BMI obesity    TC LDLC HDLC  TG  DM HBP   smoking
## 1   25.51020     Yes 215.0  154   35 155 Yes  No    Smoker
## 4   18.36547      No 121.0   73   20  89  No  No     Never
## 5   24.38653      No 195.0  151   36  63 Yes Yes    Smoker
## 6   25.20398     Yes 184.0  112   38 137 Yes Yes     Never
## 7   27.96802     Yes 161.0   91   34 196 Yes Yes Ex-smoker
## 8   19.53125      No 136.0   88   33  30 Yes Yes Ex-smoker
## 9   28.99931     Yes 239.0  161   34 118 Yes Yes     Never
## 10  21.25850      No 169.0   88   54 141 Yes  No    Smoker
## 11  19.59184      No 272.0  212   32  52 Yes  No Ex-smoker
## 12  25.88757     Yes 184.0  123   43  72 Yes Yes     Never
## 13  23.79536      No 239.0  150   42 156 Yes Yes     Never
## 14  22.66667      No 171.0   94   46 120 Yes  No     Never
## 15  19.62826      No 130.0   78   31 139  No  No Ex-smoker
## 17  23.37258      No 169.0  114   35  63 Yes Yes    Smoker
## 19  23.18367      No 173.0  107   32 115  No Yes    Smoker
## 20  36.52301     Yes 201.0  122   42  77  No  No Ex-smoker
## 21  22.72044      No 125.0   53   55  30 Yes Yes    Smoker
## 22  19.43301      No 108.0   57   41  30  No Yes    Smoker
## 23  24.60973      No 151.0   87   40 117  No  No Ex-smoker
## 24  23.78121      No 233.0  139   44  95  No Yes     Never
## 25  24.22145      No 164.0  114   35  66  No  No    Smoker
## 26  18.73049      No 174.0   86   37 183 Yes Yes     Never
## 27  23.14050      No 225.0  151   32 148  No  No    Smoker
## 28  23.30668      No 148.0   94   37  56 Yes Yes    Smoker
## 30  21.22281      No 208.0  152   36  47 Yes  No    Smoker
## 31  19.97919      No 188.0  118   53  52  No  No    Smoker
## 32  23.14050      No 185.0   92   66  71 Yes Yes     Never
## 33  27.34375     Yes 214.0  145   45  99  No Yes Ex-smoker
## 34  20.24490      No 181.0  120   41  76 Yes Yes    Smoker
## 35  25.51020     Yes 159.0   89   31 115  No Yes    Smoker
## 36  20.57613      No 127.0   61   33  76  No  No Ex-smoker
## 37  21.35931      No 212.0  147   48  83  No  No     Never
## 38  20.19509      No 250.0  162   68  95  No  No Ex-smoker
## 39  18.08021      No 132.0   74   29 156  No  No     Never
## 40  26.21882     Yes 195.0  125   48  89 Yes Yes     Never
## 41  31.22130     Yes 272.0  196   56  58  No Yes    Smoker
## 42  31.11111     Yes 131.0   86   21 102 Yes Yes     Never
## 43  24.80159      No 105.0  265   35 126 Yes  No    Smoker
## 44  25.34435     Yes 140.0   77   45 122 Yes Yes     Never
## 45  23.87543      No 133.0   82   21  92  No Yes Ex-smoker
## 46  25.52964     Yes 198.0  133   42  54  No Yes     Never
## 47  25.59374     Yes 276.0  169   33 233 Yes Yes    Smoker
## 48  29.21841     Yes 117.0   60   24 160 Yes Yes     Never
## 49  21.09375      No  86.0   42   19  78  No Yes Ex-smoker
## 50  18.59012      No 159.0   64   62  29  No Yes     Never
## 51  21.82995      No 223.0   89   31 416 Yes Yes    Smoker
## 52  19.84127      No 165.0  112   42 107  No Yes     Never
## 53  32.56189     Yes 208.0  140   25 243  No  No    Smoker
## 54  25.24934     Yes 195.0  147   37  88  No  No    Smoker
## 55  22.77319      No 134.0   82   40  67 Yes Yes     Never
## 56  27.54821     Yes 194.0  147   30  60  No Yes     Never
## 57  24.97399      No 187.0  108   35 209 Yes Yes     Never
## 58  21.96712      No 164.0  103   34 101  No  No    Smoker
## 59  24.44444      No 176.0   79   54 134 Yes Yes     Never
## 60  27.54821     Yes 186.0  133   47  67  No Yes    Smoker
## 61  20.79673      No 125.0   27   75  37  No  No     Never
## 62  21.97134      No 165.0  110   45  29  No  No    Smoker
## 63  26.83865     Yes 223.0  143   48 115 Yes  No    Smoker
## 64  25.95156     Yes 140.0   89   28  85 Yes Yes    Smoker
## 65  19.47341      No 212.0  125   48  88  No  No     Never
## 66  22.06035      No 189.0  107   49  89  No  No     Never
## 67  27.34375     Yes 174.0  127   21 177 Yes Yes     Never
## 68  22.67574      No 154.0   81   31  36 Yes Yes    Smoker
## 69  26.98962     Yes 231.0  167   41  90  No  No Ex-smoker
## 70  24.74094      No 309.0  222   48 182  No  No     Never
## 71  20.02884      No 175.0   95   46  37  No Yes Ex-smoker
## 73  18.36900      No 208.0  154   37 112 Yes  No     Never
## 74  22.32143      No 221.0  155   56  58  No  No    Smoker
## 75  20.70082      No 154.0   87   48  67  No Yes     Never
## 76  21.48438      No 221.0  166   51  71  No  No    Smoker
## 77  20.90420      No 221.0  147   47 127  No Yes    Smoker
## 78  24.16716      No 152.0  114   16  16  No  No Ex-smoker
## 79  22.03857      No 127.0   70   42  61  No Yes Ex-smoker
## 80  18.90204      No 126.0   71   27  84 Yes Yes     Never
## 81  22.83288      No 166.0  112   38  76  No Yes     Never
## 82  21.41094      No 126.0   72   24  94  No Yes     Never
## 83  22.66667      No 195.0  131   36 140 Yes Yes     Never
## 84  25.24934     Yes 174.0  115   19 151 Yes  No    Smoker
## 85  18.01721      No  99.0   68   24  82  No  No     Never
## 86  24.21875      No 178.0   92   68  42  No Yes     Never
## 88  23.03005      No 185.0  141   26  96  No  No    Smoker
## 90  26.57313     Yes 248.0  155   40 138  No  No    Smoker
## 91  24.44444      No 246.0  141    7  70 Yes Yes Ex-smoker
## 92  25.18079     Yes 231.0   95   58  93  No Yes Ex-smoker
## 93  25.39062     Yes 160.0  100   31 119 Yes Yes     Never
## 94  22.85714      No 202.0   34   14 106  No  No    Smoker
## 95  21.25850      No 140.0   85   25 142  No Yes    Smoker
## 96  22.98190      No 196.0   96   28 446  No  No    Smoker
## 97  21.07720      No 225.0   64   77  91  No Yes    Smoker
## 98  22.10029      No 258.0  195   41  97 Yes  No    Smoker
## 99  20.28123      No 173.0  123   28  76  No Yes Ex-smoker
## 100 22.03857      No 227.0  154   35 108 Yes Yes     Never
## 101 16.65249      No 154.0  102   37  44  No  No    Smoker
## 103 24.44444      No 141.0   65   38  44  No Yes Ex-smoker
## 104 24.69136      No 103.0   52   31  68 Yes Yes    Smoker
## 105 22.10029      No 251.0  161   55 109 Yes Yes     Never
## 106 28.88889     Yes  88.0   29   38  80  No Yes     Never
## 107 23.43750      No  89.0   36   34 120  No Yes     Never
## 109 22.23099      No 178.0  131   45  27  No Yes Ex-smoker
## 110 25.21625     Yes 139.0   90   38  74  No Yes Ex-smoker
## 111 21.92886      No 164.0  102   35  92  No  No    Smoker
## 112 24.76757      No 209.0  140   36 212 Yes Yes Ex-smoker
## 113 21.67126      No 234.0  153   56 109  No  No    Smoker
## 114 20.54989      No 126.0   63   48  62 Yes Yes Ex-smoker
## 116 26.53376     Yes 164.0  111   38  91 Yes Yes    Smoker
## 118 24.34176      No 174.0  103   10 129  No Yes Ex-smoker
## 119 25.14861     Yes 179.0  119   31 120  No Yes     Never
## 120 23.43750      No  25.0   96   10  26  No  No    Smoker
## 121 23.87511      No 164.0  109   33  40  No Yes    Smoker
## 122 26.07897     Yes 184.0  124   29 414 Yes  No    Smoker
## 123 24.97399      No 180.0  132   40  60 Yes Yes Ex-smoker
## 124 24.67702      No 278.0  188   37 146 Yes Yes Ex-smoker
## 125 19.59184      No 143.0   91   33  50  No  No    Smoker
## 126 23.43750      No 222.0  161   40 118  No  No     Never
## 127 23.33547      No 160.0   81   41 166  No  No Ex-smoker
## 128 25.25952     Yes 258.0  189   36  66 Yes  No    Smoker
## 129 20.76125      No 221.0  108   44 178 Yes Yes     Never
## 130 21.07720      No 277.0  194   40 154  No Yes    Smoker
## 131 27.43725     Yes 212.0  128   50  45  No Yes     Never
## 132 22.22222      No 151.0   96   43  39  No  No    Smoker
## 133 27.61341     Yes 165.0  105   39  85  No Yes     Never
## 134 23.71961      No 172.0  116   35  58 Yes  No Ex-smoker
## 135 20.02884      No 166.0   98   39 113 Yes  No    Smoker
## 137 23.12062      No 210.0  153   44  54  No  No     Never
## 138 30.47797     Yes 197.0  131   42 143  No Yes    Smoker
## 139 20.70082      No 148.0   84   37 103  No Yes     Never
## 140 22.65625      No 159.0   91   45  67  No Yes     Never
## 141 23.30905      No 315.0  205   75  80 Yes Yes     Never
## 142 24.60938      No 210.0  167   27 130  No  No    Smoker
## 143 22.09317      No 160.0  112   32 142  No  No     Never
## 144 26.12245     Yes 208.0  151   41 224  No Yes    Smoker
## 145 22.89282      No 165.0   83   50  63 Yes  No     Never
## 146 23.52941      No 181.0  113   38  33  No  No    Smoker
## 147 26.92744     Yes 199.0  132   38 211  No  No Ex-smoker
## 148 25.20920     Yes 207.0  146   30 101 Yes  No Ex-smoker
## 149 22.65625      No 143.0   94   24  92  No Yes Ex-smoker
## 150 21.25850      No 195.0  144   30  66  No Yes    Smoker
## 151 27.43484     Yes 185.0   91   68  78  No Yes Ex-smoker
## 152 24.85795      No 145.0   98   36  38  No  No     Never
## 153 26.91273     Yes 205.0  112   44  75 Yes  No    Smoker
## 154 21.51386      No 201.0   76   31  55 Yes  No     Never
## 155 34.47525     Yes 116.0   47   50 129 Yes Yes    Smoker
## 156 29.02531     Yes 134.0   71   39  96 Yes  No Ex-smoker
## 157 23.71184      No 205.0  136   48 117  No  No     Never
## 158 23.52941      No 239.0   15   41  78 Yes Yes    Smoker
## 159 21.45329      No 169.0  108   44  55  No Yes Ex-smoker
## 160 22.97194      No 139.0   76   33  76  No Yes     Never
## 161 24.14152      No 242.0  172   32 302 Yes Yes     Never
## 163 22.06035      No 278.0  185   45 210  No Yes     Never
## 164 17.00680      No 113.0   79   14  47  No  No    Smoker
## 165 17.00680      No 113.0   79   14  47  No  No    Smoker
## 166 26.98962     Yes 216.0  143   41 138  No  No Ex-smoker
## 167 18.66667      No 184.0  125   42  25 Yes Yes     Never
## 168 18.66667      No 123.0   71   27  73  No  No    Smoker
## 169 20.67901      No 141.0   98   32  54 Yes Yes Ex-smoker
## 170 27.47138     Yes 202.0  130   37 134  No Yes Ex-smoker
## 171 23.38869      No 202.0  157   45  40  No  No Ex-smoker
## 172 27.42857     Yes 180.0  107   42 130  No Yes    Smoker
## 173 22.40588      No 182.0  125   36  74 Yes Yes Ex-smoker
## 174 21.87500      No 228.0  181   29  66  No Yes    Smoker
## 175 24.16716      No 155.0   82   59  77 Yes  No Ex-smoker
## 176 20.44444      No 153.0  101   32 113 Yes Yes Ex-smoker
## 177 24.97704      No 236.0  173   10  77 Yes  No    Smoker
## 178 22.12974      No 181.0  110   51  49  No  No Ex-smoker
## 179 18.59012      No 168.0  107   41  69  No  No     Never
## 180 23.88946      No 245.0  166   50 128  No  No     Never
## 181 24.72518      No 218.0  147   47 120  No Yes Ex-smoker
## 182 20.76125      No 169.0   92   10 142  No  No Ex-smoker
## 183 32.45568     Yes 199.0  129   32 257 Yes Yes    Smoker
## 184 22.80602      No 222.0  161   42 120  No Yes Ex-smoker
## 185 22.52151      No 203.0  141   38  57 Yes  No Ex-smoker
## 186 27.09925     Yes 187.0  123   47 192  No Yes    Smoker
## 187 20.00000      No 209.0  156   42  84  No Yes     Never
## 188 25.06575     Yes 190.0  128   43 126  No Yes Ex-smoker
## 189 21.40309      No 256.0  166    8  64  No Yes     Never
## 191 22.03173      No 152.0   79   51 108  No  No    Smoker
## 192 20.76125      No 212.0  149   33 120  No Yes    Smoker
## 193 20.00000      No 323.0  220   50 184 Yes Yes     Never
## 194 27.04164     Yes 192.0  136   32 106 Yes Yes     Never
## 195 22.03857      No 146.0   99   33  78  No Yes Ex-smoker
## 196 27.82931     Yes 227.0  132   47 111 Yes Yes     Never
## 197 22.03857      No 189.0  127   41  68  No  No    Smoker
## 198 22.30815      No 169.0  118   28 156  No  No    Smoker
## 199 27.54821     Yes 200.0  134   34 217 Yes  No    Smoker
## 200 21.45329      No 235.0  180   40  90  No  No Ex-smoker
## 201 25.39062     Yes 168.0  118   40  24 Yes Yes    Smoker
## 202 17.91509      No 168.0  111   36  76  No Yes Ex-smoker
## 203 26.12245     Yes 230.0  151   40 201  No  No    Smoker
## 204 29.72652     Yes 188.0  142   29 110  No  No    Smoker
## 205 31.68855     Yes 152.0   93   29 135  No Yes     Never
## 206 27.45060     Yes 193.0  141   30 203  No  No    Smoker
## 207 24.97399      No 153.0   92   35  84  No  No     Never
## 208 19.53125      No 144.0   75   50  44  No  No    Smoker
## 209 22.44802      No 215.0  159   30 164  No  No    Smoker
## 210 22.03857      No 143.0   91   39  44 Yes Yes Ex-smoker
## 211 22.37568      No 189.0  128   40 115  No  No    Smoker
## 212 26.81359     Yes 157.0   99   41 105 Yes  No     Never
## 213 23.24380      No 183.0  120   11  71  No  No    Smoker
## 214 24.14152      No 251.0  141   50 136  No Yes Ex-smoker
## 215 19.03114      No 184.0  129   32 101  No Yes Ex-smoker
## 216 29.41076     Yes  33.0  103   10 110  No  No    Smoker
## 217 25.71166     Yes 208.0  148   28  38  No  No    Smoker
## 218 27.34375     Yes 246.0  163   53  80  No Yes     Never
## 219 24.60938      No 184.0  130   39  65  No Yes     Never
## 221 20.07733      No  96.0   60   24  80 Yes Yes     Never
## 222 23.04688      No 226.0  162   45  55  No Yes     Never
## 223 26.03749     Yes 151.0   79   52  60  No Yes Ex-smoker
## 224 24.97704      No 155.0   74   43 109 Yes  No Ex-smoker
## 225 22.89282      No 231.0  130   43 178 Yes Yes     Never
## 226 18.90204      No 159.0   71   47 172 Yes Yes     Never
## 227 19.25703      No 227.0  170   34 108  No Yes    Smoker
## 228 25.71166     Yes 262.0  205   26 154  No  No    Smoker
## 229 22.65625      No 148.0   87   39  78  No Yes Ex-smoker
## 230 24.50895      No 166.0  119   33  83  No Yes     Never
## 231 22.83288      No 289.0  224   44  81 Yes  No    Smoker
## 232 23.97959      No 203.0  157   39  79 Yes Yes     Never
## 233 25.46198     Yes 128.0   74   35  75  No  No     Never
## 234 22.72440      No 147.0   77   42  71  No  No    Smoker
## 236 24.56747      No 200.0  166   38 176  No Yes    Smoker
## 237 24.97399      No 229.0  154   51 121 Yes Yes     Never
## 238 27.47138     Yes 175.0  104   59  24  No Yes Ex-smoker
## 239 21.40309      No 199.0  107   60 119  No Yes     Never
## 240 24.16327      No 164.0   87   36  54 Yes Yes Ex-smoker
## 241 22.77319      No 137.0   81   39  46 Yes Yes Ex-smoker
## 242 22.65625      No 166.0  104   46  48  No  No Ex-smoker
## 244 26.29758     Yes 222.0  149   36 135  No  No    Smoker
## 245 26.31464     Yes 163.0   90   41 177  No  No Ex-smoker
## 246 21.46194      No 190.0  129   29 118  No  No    Smoker
## 247 24.78426      No 150.0   79   47 174 Yes  No    Smoker
## 248 32.34682     Yes 144.0   98   37  62 Yes Yes Ex-smoker
## 249 25.39062     Yes 217.0  170   33  49  No  No    Smoker
## 250 27.13141     Yes 214.0  132   43 194 Yes  No Ex-smoker
## 251 25.60554     Yes 143.0   83   20 163  No  No    Smoker
## 252 21.61281      No 170.0  116   50  48  No  No    Smoker
## 253 31.64062     Yes 213.0   76   36 489  No Yes    Smoker
## 254 24.44180      No 178.0  104   39 263 Yes Yes    Smoker
## 255 30.10381     Yes 210.0  145   38 169  No  No    Smoker
## 256 21.77384      No 178.0  121   29 115  No  No    Smoker
## 257 23.14050      No 195.0  128   36 136  No  No    Smoker
## 258 26.12245     Yes 248.0  158   37 240  No  No    Smoker
## 259 27.34375     Yes 199.0  118   38 212  No Yes    Smoker
## 260 27.30997     Yes 151.0   77   43 130  No Yes     Never
## 261 18.36547      No  98.0   48   37  27 Yes  No     Never
## 262 20.00000      No 231.0  141   50  98 Yes Yes     Never
## 263 24.07407      No 223.0  159   25 184 Yes Yes    Smoker
## 264 23.87543      No 148.0  103   33 133 Yes Yes    Smoker
## 265 22.64086      No 271.0  179   40 179 Yes Yes     Never
## 266 24.97704      No 166.0  129   28 125  No Yes    Smoker
## 267 28.73175     Yes 184.0  133   36 112  No Yes    Smoker
## 268 23.80869      No 187.0  146   34  65  No  No    Smoker
## 269 26.82742     Yes 240.0  196   36 194  No  No    Smoker
## 270 24.77210      No 179.0  121   37  76  No  No    Smoker
## 271 26.15563     Yes 230.0  154   45 169  No  No Ex-smoker
## 272 27.71769     Yes 164.0  119   23 151  No  No Ex-smoker
## 273 22.86237      No 199.0  129   39  75  No Yes     Never
## 274 28.88889     Yes 207.0  134   42 135  No Yes     Never
## 275 22.65625      No 156.0  111   35  62 Yes  No     Never
## 276 24.91349      No 225.0  108   48 257  No  No Ex-smoker
## 277 25.86451     Yes 170.0  114   37  70  No Yes Ex-smoker
## 278 27.42857     Yes 180.0  122   34  70  No Yes Ex-smoker
## 280 19.53125      No 105.0   51   29 123  No Yes    Smoker
## 281 22.38631      No 181.0  112   51  32  No  No    Smoker
## 282 23.19109      No 181.0  123   44  43  No  No     Never
## 284 22.09317      No 137.0   73   47  31  No Yes    Smoker
## 285 27.18090     Yes 140.0   88   34 181  No Yes Ex-smoker
## 286 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 287 24.31412      No 227.0  144   47  75  No Yes    Smoker
## 288 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 289 22.12974      No 168.0  112   44  61  No Yes    Smoker
## 290 25.33333     Yes 102.0   72   25  65 Yes Yes     Never
## 291 25.01352     Yes 168.0  107   28 188 Yes  No    Smoker
## 292 24.18705      No 176.0   87   46 218  No  No    Smoker
## 293 31.07354     Yes  97.0   53   26  93 Yes  No    Smoker
## 294 20.18462      No 189.0   91   45 141  No  No    Smoker
## 295 20.18462      No 207.0  137   43 136  No  No    Smoker
## 296 27.34375     Yes 154.0   86   42 148 Yes Yes Ex-smoker
## 297 23.93899      No 163.0  102   28 220  No  No    Smoker
## 298 21.45329      No 208.0  113   41 259  No  No    Smoker
## 299 28.65014     Yes 116.0   48   38 164 Yes Yes    Smoker
## 300 21.45329      No 131.0   67   30 156  No Yes    Smoker
## 301 23.47303      No 211.0  145   39  75  No Yes     Never
## 302 23.33547      No 162.0  103   26 184  No  No Ex-smoker
## 303 25.56495     Yes 161.0  108   34  59  No  No    Smoker
## 304 23.50781      No 218.0  171   35 120  No Yes Ex-smoker
## 305 19.25703      No 182.0  123   33 120 Yes Yes Ex-smoker
## 306 22.52151      No 244.0  161   48  97  No Yes     Never
## 307 26.17188     Yes 239.0  169   43 112  No  No    Smoker
## 308 23.12062      No 230.0  143   58 109  No  No     Never
## 309 23.43750      No 118.0   70   35  95  No Yes    Smoker
## 310 25.39062     Yes 170.0  128   35  58  No Yes Ex-smoker
## 311 27.54821     Yes 228.0  175   46  98 Yes Yes    Smoker
## 312 23.63403      No 168.0  104   45 646  No Yes     Never
## 313 25.76298     Yes 182.0  111   43 134  No Yes    Smoker
## 314 41.42012     Yes 229.0  148   47 151 Yes Yes Ex-smoker
## 315 24.14152      No 223.0  147   33 147 Yes Yes     Never
## 316 27.99036     Yes 198.0  131   38 101  No  No    Smoker
## 317 22.05805      No 154.0   98   29  91  No Yes    Smoker
## 318 23.42356      No 192.0  110   39  81  No Yes    Smoker
## 319 26.07897     Yes 158.0   89   30 157  No Yes    Smoker
## 320 20.02884      No 160.0   83   49  58  No  No    Smoker
## 321 30.79585     Yes 172.0  104   36 189 Yes Yes    Smoker
## 322 25.39343     Yes 155.0   70   45 217  No Yes    Smoker
## 323 32.04615     Yes 330.0  263   49  84 Yes  No Ex-smoker
## 324 21.70139      No 202.0  128   31 149  No  No     Never
## 325 26.44898     Yes 149.0   93   24 154 Yes Yes Ex-smoker
## 326 27.10204     Yes 120.0   63   38 112  No  No    Smoker
## 327 27.45865     Yes 173.0  113   33 138 Yes  No     Never
## 328 22.20408      No 188.0  132   28 131 Yes Yes    Smoker
## 330 22.32143      No 108.0   60   21 123 Yes Yes    Smoker
## 331 18.42404      No 199.0  125   38 141 Yes Yes     Never
## 332 24.60938      No 141.0   79   28 152  No  No     Never
## 333 23.04688      No 178.0  100   33 176  No Yes     Never
## 334 24.30462      No 132.8   77   32 119 Yes Yes    Smoker
## 335 21.35780      No 105.0   45   38  28  No Yes    Smoker
## 336 21.40309      No 191.0  106   52  64 Yes Yes     Never
## 337 22.54658      No 161.0  107   25 164 Yes Yes     Never
## 338 27.34375     Yes 178.0  101   35 123 Yes Yes     Never
## 339 24.22145      No 159.0   93   47  88  No  No     Never
## 340 20.19558      No 223.0  126   66  83  No Yes    Smoker
## 341 29.93827     Yes 194.0  143   41 108  No  No    Smoker
## 342 25.43748     Yes 255.0  136   51 176  No Yes     Never
## 343 26.10656     Yes 154.0   71   55  68  No  No Ex-smoker
## 344 27.81588     Yes 184.0   90   63 135 Yes Yes     Never
## 345 27.18090     Yes 182.0  113   24  64  No  No    Smoker
## 346 24.03461      No 146.0   88   45  65  No  No     Never
## 347 26.33289     Yes 199.0  149   21 114  No Yes Ex-smoker
## 348 25.86451     Yes 226.0  146   53  31  No  No    Smoker
## 349 26.77551     Yes 164.0   93   47  60 Yes Yes     Never
## 351 24.46460      No 144.0   94   30  75  No Yes     Never
## 352 23.14050      No 127.0   81   28  80  No Yes    Smoker
## 353 24.50895      No 286.0  198   48 166  No  No Ex-smoker
## 354 21.22789      No 177.0  113   34 151  No  No Ex-smoker
## 355 23.30109      No 117.0   69   34  19 Yes Yes    Smoker
## 356 22.03857      No 169.0  109   41 106  No Yes Ex-smoker
## 357 23.03005      No 166.0  102   10  87 Yes Yes    Smoker
## 358 26.29758     Yes 118.0   74   25  61  No Yes     Never
## 359 25.59374     Yes 193.0  102   42 200 Yes  No    Smoker
## 360 26.21882     Yes 178.0  111   39  20  No  No     Never
## 361 24.03461      No 179.0  117   44  93 Yes Yes     Never
## 362 24.22145      No 173.0  112   23  90 Yes Yes    Smoker
## 363 25.28257     Yes 125.0   55   39 109 Yes Yes     Never
## 364 28.65014     Yes 210.0  152   38  63  No Yes     Never
## 365 24.72518      No 178.0  117   42  79  No Yes     Never
## 366 29.38776     Yes 267.0  202   38 215 Yes Yes    Smoker
## 367 31.74179     Yes 206.0  123   26 276  No  No    Smoker
## 368 24.60973      No 231.0  125   76  79 Yes  No    Smoker
## 369 24.80159      No 211.0  157   37 154  No Yes    Smoker
## 370 26.63496     Yes 213.0  141   34  62  No Yes     Never
## 371 27.54821     Yes 239.0   83   37 319  No  No Ex-smoker
## 372 24.84098      No 162.0  108   39 136  No Yes    Smoker
## 373 22.43230      No 221.0  136   70 118  No Yes Ex-smoker
## 374 25.95156     Yes 202.0  140   34  37 Yes Yes     Never
## 375 23.80869      No 246.0  185   41 154  No  No    Smoker
## 376 25.96454     Yes 205.0  112   65  82  No Yes Ex-smoker
## 377 21.96712      No 248.0  182   37 122  No  No    Smoker
## 378 23.04688      No 168.0   98   36  32  No Yes    Smoker
## 379 22.89282      No 220.0  151   34 162  No Yes     Never
## 380 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 381 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 382 22.22222      No  95.0   41    8 105 Yes Yes     Never
## 384 22.22222      No 128.0   65   38  83  No  No     Never
## 385 36.67820     Yes 210.0  150   33 181 Yes  No    Smoker
## 386 17.57812      No 163.0   99   55  44  No  No Ex-smoker
## 387 22.53061      No 134.0   95   15 109  No  No Ex-smoker
## 388 29.00059     Yes 216.0  163   34 181  No Yes     Never
## 389 24.80159      No 188.0  114   33 201  No Yes    Smoker
## 390 20.54419      No 206.0  123   49  99  No Yes Ex-smoker
## 391 22.49135      No 213.0  139   42  57  No  No     Never
## 392 27.04164     Yes 154.0   71   50 115 Yes Yes     Never
## 394 26.07897     Yes 195.0  133   33  45  No Yes     Never
## 395 24.03461      No 103.0   36   38 132 Yes Yes     Never
## 396 20.76125      No 171.0  100   49 127  No Yes    Smoker
## 397 20.20202      No 199.0  133   37  30  No Yes     Never
## 398 23.33547      No 232.0  108   24 375 Yes Yes     Never
## 399 28.94610     Yes 215.0  147   30 118  No Yes     Never
## 400 21.92613      No 126.0   76   27  83  No  No     Never
## 401 24.21875      No 190.0  118   23 152 Yes Yes     Never
## 402 24.67550      No 188.0  104   59 113  No Yes    Smoker
## 403 24.89706      No 155.8   97   22 184  No  No Ex-smoker
## 404 26.66667     Yes 183.0  134   36  79 Yes  No     Never
## 406 19.37716      No 198.0  136   46 139 Yes  No Ex-smoker
## 407 22.49135      No 164.0  109   34  61  No  No Ex-smoker
## 408 17.92822      No  78.0   49   26  34  No Yes    Smoker
## 409 33.62209     Yes 183.0  112   30  64 Yes Yes     Never
## 410 26.34649     Yes 246.0  178   48  82  No  No    Smoker
## 411 22.89282      No 314.0  208   63 176 Yes Yes     Never
## 412 21.23057      No 134.0   72   51  76  No  No     Never
## 414 23.72529      No 167.0  115   37  51  No Yes     Never
## 415 21.25850      No 129.0   74   25  88  No Yes     Never
## 416 26.95312     Yes 114.0   62   37 150  No Yes Ex-smoker
## 417 26.42357     Yes 203.0  128   48  60  No Yes Ex-smoker
## 418 22.23099      No 197.0  138   27 110  No  No Ex-smoker
## 419 25.86451     Yes 235.0  190   34  87 Yes Yes Ex-smoker
## 420 23.66524      No 189.0  120   38 110  No Yes Ex-smoker
## 421 28.65014     Yes 197.0  121   41 124  No Yes    Smoker
## 422 26.25958     Yes 155.0   87   39  61 Yes Yes    Smoker
## 423 24.44444      No 139.0  175    5  66  No Yes     Never
## 424 25.76298     Yes 203.0  128   35 258 Yes Yes    Smoker
## 425 26.53376     Yes 179.0   74   29 377 Yes Yes     Never
## 426 24.38237      No 184.0  117   34  99  No Yes    Smoker
## 427 26.40235     Yes 155.0  105   41 108 Yes Yes     Never
## 428 19.10009      No 227.0  140   35 192  No  No    Smoker
## 429 26.17188     Yes 185.0  113   41  92 Yes Yes     Never
## 431 21.77778      No 258.0  161   31 185 Yes Yes     Never
## 432 24.46460      No 224.0  149   26 217 Yes  No Ex-smoker
## 433 23.58833      No 234.0  153   35 129  No  No    Smoker
## 434 26.23356     Yes 100.0   38   42  65 Yes Yes Ex-smoker
## 435 27.40766     Yes 118.0   50   33  97 Yes Yes Ex-smoker
## 436 24.38653      No 191.0  148   27  92  No  No     Never
## 437 27.68166     Yes 164.0  113   43  30 Yes Yes Ex-smoker
## 438 21.40309      No 176.0  118   34 142 Yes  No     Never
## 440 29.93827     Yes 204.0  107   43 180  No  No     Never
## 441 23.66144      No 265.0  177   45 288 Yes  No    Smoker
## 442 22.38631      No 162.0   94   39  92  No  No    Smoker
## 443 25.71101     Yes 193.0  119   28 107  No Yes     Never
## 444 23.03005      No 145.0   52   24 680 Yes  No    Smoker
## 445 24.48980      No 206.0  128   40  66  No Yes    Smoker
## 446 19.55556      No 177.0   44   55  77 Yes  No     Never
## 447 30.44384     Yes 167.0  117   35 117  No Yes     Never
## 448 23.14050      No 225.0  151   32 148  No  No    Smoker
## 449 23.78121      No 201.0  154   34 144  No Yes Ex-smoker
## 450 23.72281      No 141.0   72   41 239  No  No Ex-smoker
## 451 22.95918      No 480.0  314   44 243 Yes Yes     Never
## 452 25.95156     Yes 145.0   83   35  66  No Yes     Never
## 453 22.23099      No 150.0   82   26 153 Yes  No    Smoker
## 455 26.76978     Yes 134.0   98   24  60  No  No    Smoker
## 456 18.81892      No 130.0   43   61  72  No Yes    Smoker
## 457 18.42404      No 493.0  366   59 163  No  No Ex-smoker
## 458 24.97399      No 131.0   57   44 124  No  No Ex-smoker
## 459 19.53125      No 190.0  115   51  38  No  No Ex-smoker
## 460 24.97399      No 153.0   87   34  22 Yes  No     Never
## 461 25.91068     Yes 203.0  120   36 297  No Yes    Smoker
## 462 22.58271      No 163.0  106   30 155  No Yes     Never
## 463 25.05931     Yes 217.0  152   24 150  No Yes Ex-smoker
## 464 24.23823      No 181.0  122   34  68  No Yes     Never
## 465 25.52964     Yes 139.0   77   57  67  No Yes    Smoker
## 466 22.89282      No 202.0  121   31 207 Yes  No     Never
## 467 24.81633      No 205.0  106   34 246  No  No    Smoker
## 468 20.61925      No 186.0  144   34  53  No  No    Smoker
## 469 23.03005      No 182.0  119   49  48  No Yes     Never
## 470 27.88519     Yes 232.0  132   60 132 Yes Yes     Never
## 471 18.26150      No 170.0   85   20 311 Yes Yes     Never
## 472 26.98962     Yes 188.0  126   39 173  No  No    Smoker
## 473 16.41531      No 143.0   99   27  75 Yes  No    Smoker
## 474 22.05805      No 261.0  189   43 104  No  No Ex-smoker
## 475 21.20311      No 183.0   86   65 115  No  No    Smoker
## 476 24.22145      No 185.0  103   34 155 Yes Yes Ex-smoker
## 477 26.64360     Yes  91.0   50   26  70  No Yes Ex-smoker
## 478 23.66524      No 122.0   65   47  11  No Yes Ex-smoker
## 479 23.43750      No 161.0  114   32  61  No Yes     Never
## 480 22.31328      No 182.0  109   52  30  No Yes     Never
## 481 25.95156     Yes 147.0   93   38  74  No  No Ex-smoker
## 482 21.46194      No 157.0  122   22  70  No  No    Smoker
## 483 23.05175      No 184.0  136   32 135  No Yes Ex-smoker
## 484 26.44628     Yes  98.0   52   29  60 Yes Yes Ex-smoker
## 485 20.76125      No 163.0   96   38 170 Yes Yes    Smoker
## 486 26.44628     Yes 173.0  117   36  44 Yes Yes     Never
## 487 24.67105      No 190.0  100   38 125  No Yes Ex-smoker
## 490 20.82094      No 214.0  120   46  53  No  No     Never
## 491 25.51020     Yes 195.0  128   42  64  No Yes     Never
## 492 29.05329     Yes 188.0   75   35 619 Yes Yes    Smoker
## 493 26.64360     Yes 116.0   83   23  41  No Yes Ex-smoker
## 494 29.05475     Yes 261.0  208   28  98  No  No    Smoker
## 495 25.46939     Yes 177.0  131   32 104  No Yes     Never
## 496 22.95918      No 149.0  104   26  54  No Yes    Smoker
## 497 22.86253      No 186.0   92   44  93  No  No     Never
## 498 38.44675     Yes 181.0  116   51  72 Yes  No     Never
## 499 25.46198     Yes 131.0   76   39  58 Yes Yes    Smoker
## 500 24.91990      No 140.0   53   10  31  No  No     Never
## 501 24.08822      No 200.0  143   40  65 Yes Yes Ex-smoker
## 502 19.14672      No 197.0  112   51  81  No Yes    Smoker
## 503 26.44628     Yes 122.0   73   26  80 Yes Yes     Never
## 504 24.84098      No 162.0  102   44  81  No  No Ex-smoker
## 505 22.38631      No 151.0   90   45  49  No  No     Never
## 506 26.39580     Yes 163.0   91   25 219  No  No    Smoker
## 507 21.30395      No 154.0   60   60 139  No  No    Smoker
## 510 23.04002      No 153.0   92   46  62 Yes Yes    Smoker
## 511 17.14678      No 128.0   65   44  45  No  No    Smoker
## 512 31.21748     Yes 245.0  184   52  41 Yes  No     Never
## 513 25.40282     Yes 255.0  152   46 312 Yes Yes    Smoker
## 514 26.48554     Yes 126.0   66   30 123 Yes Yes    Smoker
## 515 26.72287     Yes 183.0  125   35 129  No  No    Smoker
## 516 22.22222      No 163.0  103   47  29  No Yes     Never
## 517 26.02617     Yes 203.0   94   19 458  No Yes    Smoker
## 518 25.52964     Yes 233.0  163   41 138 Yes Yes     Never
## 519 24.74745      No 165.0  100   32 129 Yes Yes     Never
## 520 33.67347     Yes 236.0  144   60 189 Yes Yes    Smoker
## 521 29.90303     Yes 194.0  133   43 257  No Yes Ex-smoker
## 522 22.07108      No 207.0  158   25 106  No Yes     Never
## 523 25.71166     Yes 141.0   69   54 153 Yes Yes     Never
## 524 26.03749     Yes  32.0  100    4  66 Yes Yes     Never
## 525 23.42209      No 226.0  150   40 128  No Yes    Smoker
## 526 23.42209      No 188.0  117   49 128  No Yes    Smoker
## 527 25.21625     Yes 196.0  136   21 180  No Yes    Smoker
## 528 25.63692     Yes 225.0  164   39 127 Yes Yes     Never
## 529 20.56933      No 189.0  105   58  66  No Yes    Smoker
## 530 32.87197     Yes 182.0  142   40  99 Yes Yes    Smoker
## 531 27.68166     Yes 217.0  159   34 143  No Yes    Smoker
## 533 26.57313     Yes 185.0   80   33 318  No Yes     Never
## 534 22.66667      No 296.0   93   26 393 Yes Yes Ex-smoker
## 535 25.95156     Yes 198.0  123   40 165 Yes  No    Smoker
## 536 22.98540      No 191.0  122   46  53  No  No    Smoker
## 537 29.06977     Yes 351.0  270   35 194  No  No    Smoker
## 538 21.78649      No 151.0   81   55  45  No  No     Never
## 539 22.65625      No 178.0  109   48  36  No Yes Ex-smoker
## 540 27.41445     Yes 181.0  124   30  92  No Yes     Never
## 541 18.59113      No 207.0  141   48  69  No  No Ex-smoker
## 542 24.30462      No 223.0  136   46 247 Yes Yes     Never
## 543 17.75148      No 177.0  105   35  56  No  No    Smoker
## 544 26.72287     Yes 191.0  116   41 112  No Yes Ex-smoker
## 545 25.96953     Yes 162.0   99   39 115  No Yes    Smoker
## 546 23.53037      No 178.0  121   25 165  No Yes Ex-smoker
## 547 30.48316     Yes 183.0  110   46 143 Yes Yes    Smoker
## 548 30.35925     Yes 161.0   75   33 187  No Yes     Never
## 549 22.32143      No 204.0  136   46 115  No Yes     Never
## 550 27.99036     Yes 159.0  102   30  80  No Yes Ex-smoker
## 551 23.33547      No 344.0   71   30 217  No Yes Ex-smoker
## 552 23.87511      No 184.0  126   39 101 Yes  No    Smoker
## 553 23.73996      No 207.0  101   48 168 Yes  No     Never
## 554 22.30815      No 152.0   64   58 151  No  No    Smoker
## 555 24.60973      No 177.0  123   41  66  No Yes     Never
## 556 21.33333      No 195.0  121   40 145  No Yes     Never
## 557 27.14158     Yes 315.0  235   55 100  No  No    Smoker
## 559 22.65625      No 198.0  138   35 110  No  No    Smoker
## 560 21.42857      No 200.0  135   44 103  No  No     Never
## 561 26.91273     Yes 151.0   82   31 143 Yes  No Ex-smoker
## 562 21.35931      No 275.0  178   45  87  No Yes     Never
## 563 21.61281      No 246.0   64   29 801 Yes  No Ex-smoker
## 564 26.98962     Yes 197.0  144   26 166 Yes Yes     Never
## 565 24.03461      No 238.0  152   44 192 Yes Yes     Never
## 566 18.36900      No 170.0  105   44  57  No Yes     Never
## 567 25.68956     Yes 123.0   70   35 109  No Yes    Smoker
## 568 18.80787      No 293.0  151   42 454  No Yes     Never
## 569 21.96712      No 246.0  178   44 146 Yes  No    Smoker
## 570 24.08822      No 196.0  126   33 182  No  No    Smoker
## 571 25.80645     Yes 216.0  143   16 168 Yes Yes     Never
## 572 21.36752      No 248.0  174   46 200 Yes Yes    Smoker
## 573 24.21875      No 192.0   68   23 459  No  No    Smoker
## 574 29.33333     Yes 230.0  155   49  91  No  No    Smoker
## 575 23.60128      No 198.0  108   38 268 Yes Yes     Never
## 576 20.42942      No 204.0  124   47 110  No Yes     Never
## 577 26.02264     Yes 214.0  140   43  76 Yes Yes     Never
## 578 24.91990      No 204.0  108   53 170 Yes Yes Ex-smoker
## 580 23.52941      No 158.0  104   31  64  No Yes    Smoker
## 581 22.65625      No 102.0   55   34  89  No  No    Smoker
## 582 25.72103     Yes 205.0  143   33 117  No  No     Never
## 583 27.58621     Yes 246.0  175   39 110 Yes Yes     Never
## 584 24.16327      No 246.0  174   45 165  No Yes Ex-smoker
## 585 26.64360     Yes 104.0   27   84  81  No  No Ex-smoker
## 586 19.92513      No 136.0   63   42  78  No Yes     Never
## 587 22.67574      No 230.0  173   32  86  No  No    Smoker
## 588 24.33748      No 186.0  148   36  67  No Yes    Smoker
## 589 16.33038      No 199.0  113   58  58 Yes  No    Smoker
## 590 23.49524      No 228.0  116   67  68 Yes Yes Ex-smoker
## 591 16.33038      No 164.0   99   40  91 Yes  No Ex-smoker
## 592 26.03749     Yes 190.0  118   29 153  No Yes Ex-smoker
## 594 29.82325     Yes 161.0   83   50 108 Yes  No     Never
## 595 25.68956     Yes 198.0  104   57 106  No Yes     Never
## 596 19.11111      No 137.0   95   20 104  No Yes     Never
## 597 17.77778      No 196.0  194   44 171  No Yes     Never
## 598 20.70082      No 141.0   74   50  52  No Yes    Smoker
## 599 25.82645     Yes 293.0  200   34 137 Yes Yes    Smoker
## 600 24.80159      No 192.0  140   36  99  No  No Ex-smoker
## 601 24.97399      No 183.0  124   43 154  No Yes     Never
## 602 21.33333      No 149.0   83   44  51  No Yes     Never
## 603 19.67517      No 286.0  188   62 104 Yes  No     Never
## 604 20.51913      No 182.0  107   37  78  No Yes     Never
## 605 23.56663      No 231.0  192   29 144  No  No    Smoker
## 606 22.83737      No 154.0   76   38 177 Yes Yes Ex-smoker
## 607 22.77319      No 190.0  125   24  91 Yes  No     Never
## 608 24.60938      No 177.0  104   45  78  No  No    Smoker
## 609 29.41176     Yes 134.0   81   31 102 Yes  No Ex-smoker
## 610 32.04588     Yes 195.0  132   47  65 Yes  No Ex-smoker
## 611 29.21841     Yes 173.0  103   40 182  No Yes Ex-smoker
## 612 22.12974      No 206.0   98   72 231  No Yes     Never
## 613 27.65625     Yes 190.0  137   28 110  No Yes Ex-smoker
## 614 26.83865     Yes 165.0   93   30 194  No Yes     Never
## 615 26.22222     Yes 154.0   97   35 109 Yes Yes     Never
## 616 24.24242      No 221.0  137   52  95 Yes Yes Ex-smoker
## 617 28.88889     Yes 261.0  194   51  99 Yes Yes     Never
## 618 15.61570      No 240.0  109   49  54  No Yes    Smoker
## 619 15.61570      No 197.0  122   49  54  No Yes    Smoker
## 620 24.44180      No 144.0   88   37 129  No  No     Never
## 621 24.91349      No 194.0  144   32  55  No Yes    Smoker
## 622 25.45807     Yes 221.0  145   37  92  No  No    Smoker
## 623 23.55556      No 244.0  170   34  51  No Yes Ex-smoker
## 624 24.44728      No 150.0   85   38 148  No Yes    Smoker
## 625 23.80869      No 147.0   78   32 173 Yes  No    Smoker
## 626 26.83865     Yes 271.0  189   53  94  No Yes     Never
## 627 23.33768      No 222.0  158   51  98  No Yes    Smoker
## 629 24.80159      No 273.0  216   29 152  No  No    Smoker
## 630 19.72104      No 184.0  115   45  44  No  No Ex-smoker
## 631 20.40816      No 200.0  137   34 101 Yes  No     Never
## 632 26.31464     Yes 170.0   96   51  91 Yes Yes     Never
## 633 24.44728      No 234.0  156   43 119  No  No     Never
## 634 28.57143     Yes 116.0   50   35 219  No Yes     Never
## 635 21.64127      No 208.0  201   40 406  No  No    Smoker
## 636 24.12175      No 224.0  156   40 141 Yes Yes     Never
## 637 41.22626     Yes 292.0  210   36 332 Yes  No    Smoker
## 638 25.10957     Yes 189.0  118   39 124  No Yes     Never
## 639 19.72104      No 178.0  100   51  73  No  No Ex-smoker
## 640 29.38468     Yes 241.0  157   57  68  No Yes Ex-smoker
## 641 25.78125     Yes 120.0   67   39  72  No  No    Smoker
## 642 28.01022     Yes 119.0   66   34  39  No Yes     Never
## 643 21.48438      No 166.0   82   53  64 Yes Yes     Never
## 644 27.06405     Yes 224.0  189   35  56  No Yes    Smoker
## 645 24.80159      No 174.0  118   37 112  No Yes    Smoker
## 646 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 647 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 648 25.23634     Yes 166.0  111   34  62  No  No     Never
## 649 22.22222      No 164.0  115   38  86  No  No Ex-smoker
## 650 27.34375     Yes 227.0  140   35 221 Yes Yes    Smoker
## 651 19.48696      No 166.0   93   34  34  No  No Ex-smoker
## 652 21.96712      No 215.0  134   32 241  No  No    Smoker
## 653 31.24605     Yes 120.0   55   19 225  No  No     Never
## 654 24.99890      No 263.0  183   42  80  No Yes     Never
## 655 26.56434     Yes 181.0  111   36 179  No  No     Never
## 656 23.43750      No 145.0  115   34  54  No  No    Smoker
## 657 27.11111     Yes 203.0  126   42  50 Yes Yes     Never
## 658 23.49524      No 234.0  198   54  77 Yes Yes     Never
## 659 33.44382     Yes 186.0  114   39  96  No  No    Smoker
## 660 22.59814      No 235.0  183   33  93  No  No     Never
## 661 24.03461      No 124.0   70   30 131 Yes Yes     Never
## 662 19.22338      No 189.0  125   47  40  No Yes     Never
## 663 19.95936      No 136.0   85   38  57  No Yes    Smoker
## 664 22.20633      No 207.0  140   26 105 Yes Yes    Smoker
## 665 21.98989      No 300.0  227   38 136  No  No    Smoker
## 666 21.45357      No 194.0  110   60  48  No  No Ex-smoker
## 667 19.48696      No 128.0   71   31  87  No  No     Never
## 669 24.21875      No 157.0   72   46 247 Yes Yes     Never
## 670 21.84701      No 251.0  122   44 450 Yes Yes    Smoker
## 671 26.29758     Yes 225.0  140   24 283  No  No Ex-smoker
## 672 20.51509      No 212.0  159   40  45  No  No    Smoker
## 673 26.95984     Yes 131.0   81   23 150  No Yes    Smoker
## 674 24.60973      No 158.0  107   33 165  No Yes    Smoker
## 675 23.87511      No 199.0  147   43  41  No  No     Never
## 676 25.63692     Yes 279.0  168   38 283 Yes  No     Never
## 677 24.02381      No 143.0   86   19 232 Yes  No     Never
## 678 18.59012      No 131.0   67   49  67  No  No Ex-smoker
## 679 25.30864     Yes 138.0   46   47  34  No  No Ex-smoker
## 680 19.55556      No 171.0   98   44  82 Yes Yes     Never
## 681 30.04082     Yes 297.0  125   33 584 Yes Yes Ex-smoker
## 682 23.05456      No 229.0  159   51 105 Yes  No    Smoker
## 683 24.15882      No 130.0  150   29 193 Yes Yes Ex-smoker
## 684 26.17188     Yes 170.0  115   40  39  No  No Ex-smoker
## 685 26.17519     Yes 169.0   77   28 377  No  No    Smoker
## 686 22.06035      No 262.0  162   41 261  No Yes    Smoker
## 688 27.58020     Yes 248.0  168   38 310  No Yes    Smoker
## 689 25.39022     Yes 240.0  161   58  74  No  No Ex-smoker
## 690 25.51020     Yes 175.0   96   34 219 Yes  No    Smoker
## 692 23.43750      No 199.0  141   29 161  No Yes     Never
## 693 23.12467      No 231.0   97   29  84  No Yes     Never
## 694 24.15882      No 136.0   78   27 164 Yes  No    Smoker
## 695 21.35991      No 157.0   85   46  75  No  No     Never
## 697 27.39226     Yes 186.0  134   33  96  No Yes Ex-smoker
## 698 25.92593     Yes 267.0  164   31 365 Yes  No    Smoker
## 699 23.18339      No 195.0  118   25 235 Yes  No    Smoker
## 700 17.64706      No 181.0  129   38  33  No Yes    Smoker
## 701 26.07897     Yes 251.0  166   36 246  No Yes Ex-smoker
## 702 18.68512      No 158.0  115   33  59  No  No    Smoker
## 703 27.58621     Yes 231.0  118   42 279  No Yes     Never
## 705 23.28342      No 157.0   90   32 161  No Yes     Never
## 706 28.53746     Yes 167.0   84   34  84  No Yes Ex-smoker
## 707 31.11111     Yes 204.0  139   27 139 Yes Yes     Never
## 708 22.43230      No 222.0  171   36  50  No Yes     Never
## 709 22.85714      No 171.0   94   46 124  No  No     Never
## 710 27.18090     Yes 221.0  157   36 183 Yes  No    Smoker
## 711 20.20202      No 181.0  124   45 143 Yes Yes    Smoker
## 712 23.43750      No 126.0   52   41 156 Yes  No     Never
## 713 23.18339      No 179.0  108   31 237 Yes Yes Ex-smoker
## 715 22.14533      No 204.0  105   28 304  No  No     Never
## 717 25.68956     Yes 108.0   63   31  53 Yes Yes Ex-smoker
## 718 27.85201     Yes 138.0   80   30 141  No  No    Smoker
## 719 26.56250     Yes 220.0  149   45 119 Yes  No     Never
## 720 25.90946     Yes 200.0  134   56 177 Yes Yes     Never
## 721 25.90946     Yes 197.0  130   36 177 Yes  No     Never
## 722 20.76125      No 132.0   75   37  63  No Yes    Smoker
# 1_2. complete.cases(data)의 결측치아닌 것1 의 mask를 행인덱싱자리에 넣어서 만들기
acs[ complete.cases(acs), ]
##     age    sex cardiogenicShock   entry              Dx   EF height weight
## 1    62   Male               No Femoral           STEMI 18.0  168.0   72.0
## 4    89 Female               No Femoral           STEMI 21.8  165.0   50.0
## 5    56   Male               No  Radial          NSTEMI 21.8  162.0   64.0
## 6    73 Female               No  Radial Unstable Angina 22.0  153.0   59.0
## 7    58   Male               No  Radial Unstable Angina 24.7  167.0   78.0
## 8    62   Male               No Femoral           STEMI 26.6  160.0   50.0
## 9    59 Female               No  Radial Unstable Angina 28.5  152.0   67.0
## 10   71   Male               No Femoral           STEMI 31.1  168.0   60.0
## 11   52   Male               No  Radial Unstable Angina 31.1  175.0   60.0
## 12   52 Female               No  Radial Unstable Angina 31.1  156.0   63.0
## 13   66   Male               No Femoral Unstable Angina 31.5  164.0   64.0
## 14   64 Female               No Femoral           STEMI 31.9  150.0   51.0
## 15   62 Female               No Femoral           STEMI 32.0  158.0   49.0
## 17   65   Male               No  Radial Unstable Angina 32.0  152.0   54.0
## 19   63   Male              Yes  Radial           STEMI 33.3  175.0   71.0
## 20   30   Male               No Femoral           STEMI 34.0  148.0   80.0
## 21   60   Male               No  Radial Unstable Angina 34.3  173.0   68.0
## 22   81   Male               No Femoral          NSTEMI 34.4  162.0   51.0
## 23   49   Male               No Femoral Unstable Angina 34.4  165.0   67.0
## 24   72 Female               No Femoral           STEMI 34.5  145.0   50.0
## 25   63   Male              Yes Femoral           STEMI 34.6  170.0   70.0
## 26   72 Female               No Femoral Unstable Angina 34.6  155.0   45.0
## 27   64   Male              Yes  Radial           STEMI 35.0  165.0   63.0
## 28   64   Male               No Femoral           STEMI 35.4  167.0   65.0
## 30   47   Male              Yes Femoral           STEMI 35.5  179.0   68.0
## 31   46 Female               No Femoral           STEMI 35.6  155.0   48.0
## 32   55   Male              Yes Femoral          NSTEMI 35.7  165.0   63.0
## 33   73   Male               No  Radial          NSTEMI 35.9  160.0   70.0
## 34   59   Male               No  Radial          NSTEMI 36.5  175.0   62.0
## 35   79 Female               No  Radial Unstable Angina 36.5  140.0   50.0
## 36   80   Male               No  Radial           STEMI 36.6  162.0   54.0
## 37   76 Female               No  Radial          NSTEMI 36.8  153.0   50.0
## 38   73   Male               No Femoral          NSTEMI 37.0  162.0   53.0
## 39   61 Female               No Femoral Unstable Angina 37.0  156.0   44.0
## 40   58   Male              Yes  Radial           STEMI 37.3  168.0   74.0
## 41   58   Male               No Femoral           STEMI 37.5  165.0   85.0
## 42   72 Female               No  Radial          NSTEMI 37.5  150.0   70.0
## 43   57   Male               No Femoral          NSTEMI 37.9  168.0   70.0
## 44   66   Male               No  Radial Unstable Angina 38.0  165.0   69.0
## 45   71   Male               No  Radial Unstable Angina 38.0  170.0   69.0
## 46   65 Female               No Femoral           STEMI 38.4  162.0   67.0
## 47   53   Male               No  Radial Unstable Angina 38.4  163.0   68.0
## 48   61 Female               No Femoral          NSTEMI 38.5  148.0   64.0
## 49   77   Male               No  Radial           STEMI 38.8  160.0   54.0
## 50   82   Male               No Femoral           STEMI 39.0  164.0   50.0
## 51   65   Male              Yes  Radial           STEMI 39.0  163.0   58.0
## 52   61   Male               No Femoral           STEMI 39.4  168.0   56.0
## 53   39   Male               No  Radial           STEMI 40.0  169.0   93.0
## 54   49   Male               No  Radial           STEMI 40.0  178.0   80.0
## 55   67   Male               No Femoral          NSTEMI 40.0  165.0   62.0
## 56   76   Male               No  Radial           STEMI 40.2  165.0   75.0
## 57   79 Female               No  Radial          NSTEMI 40.2  155.0   60.0
## 58   63   Male               No  Radial Unstable Angina 40.2  168.0   62.0
## 59   74 Female              Yes Femoral           STEMI 40.4  150.0   55.0
## 60   67   Male               No Femoral           STEMI 40.5  165.0   75.0
## 61   57   Male               No Femoral           STEMI 40.6  167.0   58.0
## 62   59   Male               No  Radial           STEMI 40.9  172.0   65.0
## 63   76   Male               No  Radial           STEMI 41.0  158.0   67.0
## 64   55   Male               No  Radial           STEMI 41.3  170.0   75.0
## 65   80 Female               No Femoral           STEMI 41.5  157.0   48.0
## 66   88 Female               No  Radial          NSTEMI 41.7  155.0   53.0
## 67   75 Female               No Femoral           STEMI 41.8  160.0   70.0
## 68   72   Male               No  Radial           STEMI 42.0  168.0   64.0
## 69   52   Male               No Femoral Unstable Angina 42.0  170.0   78.0
## 70   49   Male               No  Radial           STEMI 42.1  167.0   69.0
## 71   78   Male               No Femoral          NSTEMI 42.1  158.0   50.0
## 73   67 Female               No  Radial          NSTEMI 42.2  153.0   43.0
## 74   54   Male               No  Radial          NSTEMI 42.4  168.0   63.0
## 75   76 Female               No  Radial          NSTEMI 42.5  163.0   55.0
## 76   52   Male               No  Radial           STEMI 42.5  160.0   55.0
## 77   65   Male               No Femoral           STEMI 42.6  168.0   59.0
## 78   64   Male               No  Radial           STEMI 42.7  164.0   65.0
## 79   85   Male               No Femoral          NSTEMI 42.7  165.0   60.0
## 80   75 Female               No  Radial           STEMI 42.8  156.0   46.0
## 81   78 Female               No  Radial           STEMI 42.9  158.0   57.0
## 82   81   Male               No Femoral Unstable Angina 43.0  166.0   59.0
## 83   74 Female               No  Radial Unstable Angina 43.0  150.0   51.0
## 84   58   Male              Yes Femoral           STEMI 43.2  178.0   80.0
## 85   63 Female               No Femoral           STEMI 43.2  149.0   40.0
## 86   72 Female               No Femoral Unstable Angina 43.2  160.0   62.0
## 88   77   Male               No  Radial          NSTEMI 44.0  168.0   65.0
## 90   53   Male               No  Radial           STEMI 44.0  168.0   75.0
## 91   63 Female               No  Radial           STEMI 44.0  150.0   55.0
## 92   54   Male               No  Radial           STEMI 44.1  176.0   78.0
## 93   79 Female               No  Radial          NSTEMI 44.1  160.0   65.0
## 94   50   Male               No  Radial           STEMI 44.2  175.0   70.0
## 95   75   Male               No  Radial          NSTEMI 44.3  168.0   60.0
## 96   57   Male               No  Radial           STEMI 44.5  177.0   72.0
## 97   69   Male               No Femoral          NSTEMI 44.6  163.0   56.0
## 98   55   Male               No  Radial Unstable Angina 44.8  162.0   58.0
## 99   79   Male               No Femoral          NSTEMI 44.9  172.0   60.0
## 100  70   Male               No Femoral           STEMI 45.0  165.0   60.0
## 101  73   Male               No Femoral           STEMI 45.0  168.0   47.0
## 103  82 Female               No  Radial Unstable Angina 45.0  150.0   55.0
## 104  44   Male               No Femoral Unstable Angina 45.1  180.0   80.0
## 105  61   Male               No Femoral           STEMI 45.3  162.0   58.0
## 106  80 Female               No Femoral           STEMI 45.4  150.0   65.0
## 107  70 Female               No  Radial           STEMI 45.4  160.0   60.0
## 109  65   Male               No  Radial           STEMI 45.6  167.0   62.0
## 110  68   Male               No Femoral          NSTEMI 45.6  177.0   79.0
## 111  70   Male               No  Radial          NSTEMI 45.7  151.0   50.0
## 112  65   Male               No  Radial Unstable Angina 45.8  162.0   65.0
## 113  51   Male               No  Radial Unstable Angina 45.9  165.0   59.0
## 114  66   Male              Yes Femoral           STEMI 46.0  168.0   58.0
## 116  56   Male               No  Radial           STEMI 46.1  167.0   74.0
## 118  78 Female               No Femoral          NSTEMI 46.4  157.0   60.0
## 119  49   Male               No  Radial          NSTEMI 46.5  162.0   66.0
## 120  84 Female               No  Radial Unstable Angina 46.6  160.0   60.0
## 121  81   Male               No Femoral          NSTEMI 46.8  165.0   65.0
## 122  53   Male               No Femoral          NSTEMI 46.9  165.0   71.0
## 123  77   Male               No  Radial           STEMI 47.0  155.0   60.0
## 124  81   Male               No  Radial           STEMI 47.0  166.0   68.0
## 125  69   Male               No  Radial           STEMI 47.0  175.0   60.0
## 126  48 Female              Yes Femoral           STEMI 47.0  160.0   60.0
## 127  76   Male               No  Radial Unstable Angina 47.0  163.0   62.0
## 128  41   Male               No  Radial           STEMI 47.1  170.0   73.0
## 129  68   Male               No  Radial           STEMI 47.2  170.0   60.0
## 130  55   Male               No  Radial           STEMI 47.2  163.0   56.0
## 131  80 Female               No  Radial          NSTEMI 47.3  156.5   67.2
## 132  81   Male               No  Radial Unstable Angina 47.3  150.0   50.0
## 133  80 Female               No  Radial           STEMI 47.3  156.0   67.2
## 134  61   Male               No  Radial           STEMI 47.4  179.0   76.0
## 135  66   Male               No Femoral          NSTEMI 47.6  158.0   50.0
## 137  64   Male               No Femoral           STEMI 47.8  174.0   70.0
## 138  62   Male               No  Radial           STEMI 48.0  167.0   85.0
## 139  72 Female               No Femoral           STEMI 48.1  163.0   55.0
## 140  72 Female               No Femoral           STEMI 48.1  160.0   58.0
## 141  74 Female               No Femoral          NSTEMI 48.1  155.0   56.0
## 142  53 Female               No  Radial          NSTEMI 48.1  160.0   63.0
## 143  51   Male               No  Radial           STEMI 48.2  178.0   70.0
## 144  47   Male               No  Radial           STEMI 48.2  175.0   80.0
## 145  69 Female               No  Radial          NSTEMI 48.2  155.0   55.0
## 146  48   Male               No  Radial           STEMI 48.3  170.0   68.0
## 147  58   Male               No  Radial          NSTEMI 48.3  168.0   76.0
## 148  74   Male               No Femoral          NSTEMI 48.6  169.0   72.0
## 149  75   Male               No  Radial          NSTEMI 48.6  160.0   58.0
## 150  58   Male               No  Radial           STEMI 48.7  168.0   60.0
## 151  64   Male               No Femoral           STEMI 48.8  162.0   72.0
## 152  70   Male               No  Radial           STEMI 48.8  176.0   77.0
## 153  69 Female               No  Radial           STEMI 48.9  153.0   63.0
## 154  61   Male               No  Radial           STEMI 48.9  167.0   60.0
## 155  38   Male               No  Radial Unstable Angina 48.9  166.0   95.0
## 156  44   Male               No  Radial           STEMI 49.0  179.0   93.0
## 157  57   Male               No Femoral           STEMI 49.0  163.0   63.0
## 158  56   Male               No  Radial           STEMI 49.0  170.0   68.0
## 159  80   Male               No  Radial          NSTEMI 49.0  170.0   62.0
## 160  85 Female               No  Radial Unstable Angina 49.1  149.0   51.0
## 161  56 Female               No Femoral          NSTEMI 49.1  155.0   58.0
## 163  84 Female               No  Radial          NSTEMI 49.2  155.0   53.0
## 164  55   Male               No Femoral           STEMI 49.3  168.0   48.0
## 165  55   Male              Yes Femoral           STEMI 49.3  168.0   48.0
## 166  54   Male               No  Radial           STEMI 49.5  170.0   78.0
## 167  78 Female               No Femoral           STEMI 49.5  150.0   42.0
## 168  82 Female               No Femoral           STEMI 49.7  150.0   42.0
## 169  66   Male               No Femoral           STEMI 49.7  180.0   67.0
## 170  71   Male               No Femoral          NSTEMI 49.9  155.0   66.0
## 171  52   Male               No  Radial           STEMI 50.0  173.0   70.0
## 172  57   Male               No Femoral          NSTEMI 50.0  175.0   84.0
## 173  82   Male               No Femoral          NSTEMI 50.0  165.0   61.0
## 174  76   Male               No Femoral Unstable Angina 50.0  160.0   56.0
## 175  49   Male               No Femoral           STEMI 50.1  164.0   65.0
## 176  62 Female               No  Radial          NSTEMI 50.1  150.0   46.0
## 177  57   Male               No  Radial           STEMI 50.3  165.0   68.0
## 178  57   Male               No  Radial          NSTEMI 50.3  174.0   67.0
## 179  81 Female               No  Radial           STEMI 50.4  164.0   50.0
## 180  53   Male               No  Radial           STEMI 50.4  176.0   74.0
## 181  72   Male              Yes Femoral           STEMI 50.5  173.0   74.0
## 182  78   Male               No  Radial Unstable Angina 50.5  170.0   60.0
## 183  53   Male               No  Radial Unstable Angina 50.6  157.0   80.0
## 184  63 Female               No  Radial           STEMI 50.8  151.0   52.0
## 185  74 Female              Yes  Radial           STEMI 51.0  149.0   50.0
## 186  54   Male               No  Radial           STEMI 51.0  163.0   72.0
## 187  81 Female               No  Radial           STEMI 51.2  150.0   45.0
## 188  63 Female               No Femoral           STEMI 51.3  156.0   61.0
## 189  81 Female               No  Radial Unstable Angina 51.3  145.0   45.0
## 191  69 Female               No Femoral           STEMI 51.5  158.0   55.0
## 192  58   Male               No Femoral           STEMI 51.6  170.0   60.0
## 193  70 Female               No Femoral Unstable Angina 51.6  150.0   45.0
## 194  56   Male               No Femoral           STEMI 51.7  172.0   80.0
## 195  63   Male               No Femoral           STEMI 51.7  165.0   60.0
## 196  54 Female               No  Radial          NSTEMI 51.7  154.0   66.0
## 197  77   Male               No  Radial Unstable Angina 51.9  165.0   60.0
## 198  55   Male               No  Radial           STEMI 52.0  164.0   60.0
## 199  48   Male               No  Radial           STEMI 52.0  165.0   75.0
## 200  62   Male               No  Radial           STEMI 52.0  170.0   62.0
## 201  65   Male              Yes  Radial           STEMI 52.0  160.0   65.0
## 202  77   Male               No Femoral           STEMI 52.0  172.0   53.0
## 203  54   Male               No  Radial           STEMI 52.0  175.0   80.0
## 204  38   Male               No  Radial           STEMI 52.1  174.0   90.0
## 205  70 Female               No  Radial Unstable Angina 52.2  141.0   63.0
## 206  49   Male               No  Radial           STEMI 52.4  177.0   86.0
## 207  69 Female               No  Radial Unstable Angina 52.4  155.0   60.0
## 208  67   Male               No  Radial Unstable Angina 52.4  160.0   50.0
## 209  36   Male               No Femoral           STEMI 52.5  184.0   76.0
## 210  70   Male              Yes  Radial           STEMI 52.6  165.0   60.0
## 211  62   Male               No  Radial           STEMI 52.6  161.0   58.0
## 212  56   Male               No  Radial           STEMI 52.8  165.0   73.0
## 213  51   Male               No Femoral           STEMI 52.8  176.0   72.0
## 214  64 Female               No Femoral          NSTEMI 52.9  155.0   58.0
## 215  75   Male               No  Radial           STEMI 53.0  170.0   55.0
## 216  41   Male               No  Radial Unstable Angina 53.0  171.0   86.0
## 217  53   Male               No  Radial           STEMI 53.0  165.0   70.0
## 218  78 Female               No Femoral           STEMI 53.0  160.0   70.0
## 219  51 Female               No  Radial Unstable Angina 53.0  160.0   63.0
## 221  66   Male               No Femoral Unstable Angina 53.2  164.0   54.0
## 222  68   Male               No Femoral           STEMI 53.5  160.0   59.0
## 223  61   Male               No Femoral           STEMI 53.6  158.0   65.0
## 224  59   Male               No  Radial          NSTEMI 53.6  165.0   68.0
## 225  77 Female               No  Radial          NSTEMI 53.7  155.0   55.0
## 226  49 Female               No  Radial           STEMI 53.8  156.0   46.0
## 227  57   Male               No Femoral Unstable Angina 53.8  169.0   55.0
## 228  52   Male               No  Radial           STEMI 54.0  165.0   70.0
## 229  77 Female               No Femoral           STEMI 54.0  160.0   58.0
## 230  56   Male               No  Radial           STEMI 54.0  169.0   70.0
## 231  46 Female               No  Radial           STEMI 54.0  158.0   57.0
## 232  71 Female               No Femoral Unstable Angina 54.0  140.0   47.0
## 233  62 Female               No Femoral Unstable Angina 54.0  161.0   66.0
## 234  41   Male               No  Radial           STEMI 54.2  178.0   72.0
## 236  56   Male               No  Radial          NSTEMI 54.2  170.0   71.0
## 237  70 Female               No  Radial Unstable Angina 54.3  155.0   60.0
## 238  67 Female               No  Radial           STEMI 54.5  155.0   66.0
## 239  70 Female               No  Radial Unstable Angina 54.6  145.0   45.0
## 240  78   Male               No Femoral Unstable Angina 54.6  175.0   74.0
## 241  87   Male               No  Radial Unstable Angina 54.7  165.0   62.0
## 242  81 Female               No  Radial           STEMI 54.8  160.0   58.0
## 244  56   Male               No  Radial          NSTEMI 54.8  170.0   76.0
## 245  78 Female               No Femoral Unstable Angina 54.8  151.0   60.0
## 246  47   Male               No Femoral           STEMI 54.9  178.0   68.0
## 247  60   Male               No  Radial           STEMI 54.9  183.0   83.0
## 248  69   Male               No Femoral Unstable Angina 54.9  164.0   87.0
## 249  61   Male               No  Radial           STEMI 55.0  160.0   65.0
## 250  52   Male               No  Radial           STEMI 55.0  177.0   85.0
## 251  61   Male               No Femoral           STEMI 55.0  170.0   74.0
## 252  58   Male               No Femoral           STEMI 55.0  168.0   61.0
## 253  51   Male               No Femoral          NSTEMI 55.0  160.0   81.0
## 254  58   Male               No  Radial          NSTEMI 55.0  174.0   74.0
## 255  35   Male               No  Radial Unstable Angina 55.0  170.0   87.0
## 256  71   Male               No  Radial           STEMI 55.1  166.0   60.0
## 257  46   Male               No  Radial          NSTEMI 55.1  165.0   63.0
## 258  40   Male               No Femoral Unstable Angina 55.1  175.0   80.0
## 259  57   Male               No  Radial Unstable Angina 55.1  160.0   70.0
## 260  70   Male               No  Radial Unstable Angina 55.1  169.0   78.0
## 261  71   Male               No  Radial           STEMI 55.2  165.0   50.0
## 262  45 Female               No Femoral Unstable Angina 55.2  150.0   45.0
## 263  43   Male               No  Radial          NSTEMI 55.3  180.0   78.0
## 264  41   Male               No Femoral           STEMI 55.4  170.0   69.0
## 265  57   Male               No  Radial Unstable Angina 55.4  153.0   53.0
## 266  74   Male               No Femoral Unstable Angina 55.4  165.0   68.0
## 267  60   Male               No  Radial           STEMI 55.5  172.0   85.0
## 268  57   Male               No Femoral          NSTEMI 55.5  169.0   68.0
## 269  51   Male               No Femoral          NSTEMI 55.5  178.0   85.0
## 270  37   Male               No Femoral           STEMI 55.6  174.0   75.0
## 271  90 Female               No  Radial Unstable Angina 55.6  141.0   52.0
## 272  76   Male              Yes Femoral           STEMI 55.7  172.0   82.0
## 273  58   Male              Yes  Radial           STEMI 55.7  162.0   60.0
## 274  69 Female               No Femoral           STEMI 55.7  150.0   65.0
## 275  70 Female               No  Radial           STEMI 55.7  160.0   58.0
## 276  50   Male               No Femoral          NSTEMI 55.7  170.0   72.0
## 277  74   Male               No  Radial          NSTEMI 55.8  168.0   73.0
## 278  73   Male               No  Radial Unstable Angina 55.8  175.0   84.0
## 280  60   Male               No  Radial           STEMI 55.9  160.0   50.0
## 281  60   Male               No  Radial           STEMI 55.9  173.0   67.0
## 282  85 Female               No  Radial           STEMI 55.9  154.0   55.0
## 284  72   Male               No  Radial Unstable Angina 56.0  178.0   70.0
## 285  70   Male               No  Radial           STEMI 56.0  165.0   74.0
## 286  49   Male               No  Radial Unstable Angina 56.0  177.0   82.0
## 287  70   Male               No  Radial Unstable Angina 56.0  166.0   67.0
## 288  49   Male               No  Radial Unstable Angina 56.0  177.0   82.0
## 289  53   Male               No  Radial Unstable Angina 56.0  174.0   67.0
## 290  74 Female               No Femoral Unstable Angina 56.0  150.0   57.0
## 291  49   Male               No Femoral          NSTEMI 56.0  172.0   74.0
## 292  43   Male               No  Radial           STEMI 56.1  183.0   81.0
## 293  43   Male               No Femoral           STEMI 56.1  173.0   93.0
## 294  68   Male               No  Radial Unstable Angina 56.1  162.5   53.3
## 295  68   Male               No  Radial Unstable Angina 56.1  162.5   53.3
## 296  78   Male               No Femoral          NSTEMI 56.1  160.0   70.0
## 297  35   Male               No  Radial           STEMI 56.2  171.0   70.0
## 298  52   Male               No Femoral Unstable Angina 56.2  170.0   62.0
## 299  58   Male               No Femoral Unstable Angina 56.2  165.0   78.0
## 300  67   Male               No  Radial Unstable Angina 56.2  170.0   62.0
## 301  76 Female               No Femoral Unstable Angina 56.2  143.0   48.0
## 302  56   Male               No  Radial          NSTEMI 56.3  163.0   62.0
## 303  55   Male               No  Radial           STEMI 56.3  178.0   81.0
## 304  72   Male               No  Radial           STEMI 56.3  165.0   64.0
## 305  46   Male               No  Radial          NSTEMI 56.3  169.0   55.0
## 306  78 Female               No  Radial          NSTEMI 56.4  149.0   50.0
## 307  58   Male               No Femoral           STEMI 56.4  160.0   67.0
## 308  58   Male               No Femoral Unstable Angina 56.4  174.0   70.0
## 309  62   Male               No  Radial Unstable Angina 56.4  160.0   60.0
## 310  83 Female               No Femoral           STEMI 56.5  160.0   65.0
## 311  62   Male               No  Radial           STEMI 56.5  165.0   75.0
## 312  65 Female               No  Radial           STEMI 56.5  158.0   59.0
## 313  50   Male               No  Radial Unstable Angina 56.5  174.0   78.0
## 314  61   Male               No  Radial Unstable Angina 56.5  130.0   70.0
## 315  86 Female               No  Radial Unstable Angina 56.5  155.0   58.0
## 316  52   Male               No  Radial Unstable Angina 56.5  168.0   79.0
## 317  65   Male               No  Radial Unstable Angina 56.5  169.0   63.0
## 318  68   Male               No  Radial Unstable Angina 56.5  164.0   63.0
## 319  46   Male               No  Radial Unstable Angina 56.6  165.0   71.0
## 320  61   Male               No Femoral           STEMI 56.6  158.0   50.0
## 321  57   Male               No Femoral           STEMI 56.7  170.0   89.0
## 322  40   Male               No  Radial           STEMI 56.7  173.0   76.0
## 323  69 Female               No Femoral          NSTEMI 56.7  158.0   80.0
## 324  71 Female               No  Radial           STEMI 56.8  144.0   45.0
## 325  63   Male               No  Radial Unstable Angina 56.8  175.0   81.0
## 326  52   Male               No Femoral           STEMI 56.9  175.0   83.0
## 327  41   Male               No  Radial Unstable Angina 56.9  178.0   87.0
## 328  55   Male               No Femoral           STEMI 57.0  175.0   68.0
## 330  77   Male               No Femoral Unstable Angina 57.1  168.0   63.0
## 331  67 Female               No  Radial Unstable Angina 57.2  168.0   52.0
## 332  65   Male               No Femoral Unstable Angina 57.2  160.0   63.0
## 333  73   Male               No  Radial Unstable Angina 57.2  160.0   59.0
## 334  72   Male               No Femoral Unstable Angina 57.3  161.0   63.0
## 335  61   Male               No Femoral Unstable Angina 57.3  169.0   61.0
## 336  70 Female               No Femoral Unstable Angina 57.3  145.0   45.0
## 337  59   Male               No  Radial Unstable Angina 57.3  159.0   57.0
## 338  59   Male               No  Radial Unstable Angina 57.3  160.0   70.0
## 339  47   Male               No  Radial           STEMI 57.4  170.0   70.0
## 340  64   Male               No  Radial           STEMI 57.4  168.0   57.0
## 341  44   Male               No Femoral           STEMI 57.4  180.0   97.0
## 342  53 Female               No  Radial Unstable Angina 57.4  151.0   58.0
## 343  69   Male               No Femoral Unstable Angina 57.6  159.0   66.0
## 344  58   Male               No Femoral Unstable Angina 57.6  162.0   73.0
## 345  64 Female               No  Radial Unstable Angina 57.7  165.0   74.0
## 346  77 Female               No Femoral Unstable Angina 57.8  158.0   60.0
## 347  48   Male               No  Radial Unstable Angina 57.9  171.0   77.0
## 348  62   Male               No  Radial           STEMI 57.9  168.0   73.0
## 349  66   Male               No  Radial           STEMI 58.0  175.0   82.0
## 351  69   Male               No Femoral           STEMI 58.0  163.0   65.0
## 352  68   Male               No  Radial           STEMI 58.0  165.0   63.0
## 353  41   Male               No  Radial Unstable Angina 58.0  169.0   70.0
## 354  68 Female               No Femoral          NSTEMI 58.0  155.0   51.0
## 355  75   Male               No  Radial          NSTEMI 58.0  177.0   73.0
## 356  73   Male               No  Radial          NSTEMI 58.0  165.0   60.0
## 357  56   Male               No  Radial           STEMI 58.1  168.0   65.0
## 358  46   Male              Yes Femoral           STEMI 58.1  170.0   76.0
## 359  55   Male               No  Radial           STEMI 58.1  163.0   68.0
## 360  61   Male               No Femoral           STEMI 58.1  168.0   74.0
## 361  68 Female               No  Radial Unstable Angina 58.1  158.0   60.0
## 362  55   Male               No Femoral Unstable Angina 58.1  170.0   70.0
## 363  57 Female               No Femoral           STEMI 58.2  164.0   68.0
## 364  50   Male               No  Radial Unstable Angina 58.2  165.0   78.0
## 365  69   Male               No  Radial Unstable Angina 58.2  173.0   74.0
## 366  44   Male               No  Radial           STEMI 58.3  175.0   90.0
## 367  38   Male               No  Radial           STEMI 58.3  173.0   95.0
## 368  83   Male               No  Radial           STEMI 58.3  165.0   67.0
## 369  70   Male               No  Radial           STEMI 58.3  168.0   70.0
## 370  76 Female               No Femoral           STEMI 58.4  145.0   56.0
## 371  53 Female               No  Radial Unstable Angina 58.4  165.0   75.0
## 372  37   Male               No  Radial          NSTEMI 58.4  163.0   66.0
## 373  49   Male               No  Radial          NSTEMI 58.4  158.0   56.0
## 374  57   Male               No  Radial           STEMI 58.5  170.0   75.0
## 375  51   Male               No  Radial          NSTEMI 58.5  169.0   68.0
## 376  64   Male               No  Radial           STEMI 58.6  157.0   64.0
## 377  53   Male               No  Radial           STEMI 58.6  168.0   62.0
## 378  77   Male               No Femoral Unstable Angina 58.6  160.0   59.0
## 379  46 Female               No Femoral          NSTEMI 58.6  155.0   55.0
## 380  65 Female               No  Radial           STEMI 58.7  160.0   67.0
## 381  65 Female               No  Radial           STEMI 58.7  160.0   67.0
## 382  77 Female               No Femoral           STEMI 58.7  150.0   50.0
## 384  67 Female               No  Radial Unstable Angina 58.7  150.0   50.0
## 385  37   Male               No  Radial           STEMI 58.8  170.0  106.0
## 386  73   Male               No  Radial           STEMI 58.8  160.0   45.0
## 387  51   Male               No  Radial          NSTEMI 58.8  175.0   69.0
## 388  61   Male               No  Radial          NSTEMI 58.8  164.0   78.0
## 389  71   Male               No Femoral          NSTEMI 58.8  168.0   70.0
## 390  81 Female               No  Radial           STEMI 58.9  148.0   45.0
## 391  58   Male               No Femoral           STEMI 58.9  170.0   65.0
## 392  71   Male               No  Radial Unstable Angina 58.9  172.0   80.0
## 394  64 Female               No  Radial           STEMI 59.0  165.0   71.0
## 395  59 Female               No  Radial           STEMI 59.0  158.0   60.0
## 396  51   Male               No Femoral           STEMI 59.0  170.0   60.0
## 397  86   Male               No Femoral           STEMI 59.0  165.0   55.0
## 398  60   Male               No  Radial Unstable Angina 59.0  163.0   62.0
## 399  60 Female               No Femoral Unstable Angina 59.0  151.0   66.0
## 400  71 Female               No Femoral Unstable Angina 59.0  154.0   52.0
## 401  56   Male               No  Radial Unstable Angina 59.0  160.0   62.0
## 402  42   Male               No  Radial          NSTEMI 59.1  172.0   73.0
## 403  68   Male               No Femoral Unstable Angina 59.1  177.0   78.0
## 404  46 Female               No  Radial Unstable Angina 59.1  150.0   60.0
## 406  72   Male               No Femoral Unstable Angina 59.1  170.0   56.0
## 407  66   Male               No Femoral           STEMI 59.2  170.0   65.0
## 408  81   Male               No  Radial Unstable Angina 59.2  167.0   50.0
## 409  60 Female               No Femoral Unstable Angina 59.2  159.0   85.0
## 410  52   Male               No  Radial           STEMI 59.3  163.0   70.0
## 411  75 Female               No  Radial Unstable Angina 59.3  155.0   55.0
## 412  48 Female               No  Radial          NSTEMI 59.3  158.0   53.0
## 414  78 Female               No  Radial Unstable Angina 59.3  155.0   57.0
## 415  79   Male               No Femoral           STEMI 59.4  168.0   60.0
## 416  58   Male               No  Radial Unstable Angina 59.4  160.0   69.0
## 417  60   Male               No  Radial Unstable Angina 59.4  174.0   80.0
## 418  64   Male               No  Radial          NSTEMI 59.4  167.0   62.0
## 419  57   Male               No  Radial          NSTEMI 59.4  168.0   73.0
## 420  60   Male               No  Radial          NSTEMI 59.4  167.0   66.0
## 421  72   Male               No  Radial Unstable Angina 59.5  165.0   78.0
## 422  57   Male               No Femoral Unstable Angina 59.5  169.0   75.0
## 423  79 Female               No Femoral Unstable Angina 59.5  150.0   55.0
## 424  59   Male               No  Radial Unstable Angina 59.5  174.0   78.0
## 425  65   Male               No  Radial Unstable Angina 59.5  167.0   74.0
## 426  61   Male               No  Radial Unstable Angina 59.5  167.0   68.0
## 427  75 Female               No  Radial Unstable Angina 59.5  152.0   61.0
## 428  55   Male               No  Radial          NSTEMI 59.6  165.0   52.0
## 429  50   Male               No Femoral Unstable Angina 59.6  160.0   67.0
## 431  81 Female               No  Radial Unstable Angina 59.6  150.0   49.0
## 432  52   Male               No  Radial Unstable Angina 59.6  163.0   65.0
## 433  55   Male               No  Radial          NSTEMI 59.7  166.0   65.0
## 434  59   Male               No Femoral Unstable Angina 59.7  161.0   68.0
## 435  54 Female               No  Radial Unstable Angina 59.7  154.0   65.0
## 436  72   Male               No  Radial Unstable Angina 59.7  162.0   64.0
## 437  56   Male               No  Radial           STEMI 59.8  170.0   80.0
## 438  65 Female               No Femoral           STEMI 59.8  145.0   45.0
## 440  49   Male               No  Radial Unstable Angina 59.8  180.0   97.0
## 441  51   Male               No Femoral          NSTEMI 59.8  172.0   70.0
## 442  48   Male              Yes Femoral           STEMI 59.9  173.0   67.0
## 443  56 Female               No  Radial Unstable Angina 59.9  159.0   65.0
## 444  65   Male               No Femoral Unstable Angina 59.9  168.0   65.0
## 445  68   Male               No  Radial           STEMI 60.0  175.0   75.0
## 446  73 Female               No Femoral           STEMI 60.0  150.0   44.0
## 447  68 Female               No  Radial           STEMI 60.0  158.0   76.0
## 448  64   Male              Yes  Radial           STEMI 60.0  165.0   63.0
## 449  71 Female               No  Radial Unstable Angina 60.0  145.0   50.0
## 450  53   Male               No Femoral Unstable Angina 60.0  173.0   71.0
## 451  74 Female               No  Radial Unstable Angina 60.0  140.0   45.0
## 452  58   Male               No  Radial          NSTEMI 60.0  170.0   75.0
## 453  55   Male               No  Radial Unstable Angina 60.0  167.0   62.0
## 455  48   Male               No Femoral           STEMI 60.1  164.0   72.0
## 456  75   Male               No  Radial Unstable Angina 60.1  163.0   50.0
## 457  28   Male               No  Radial          NSTEMI 60.1  168.0   52.0
## 458  62 Female               No  Radial Unstable Angina 60.1  155.0   60.0
## 459  62   Male               No Femoral           STEMI 60.2  160.0   50.0
## 460  79 Female              Yes  Radial           STEMI 60.2  155.0   60.0
## 461  53   Male               No  Radial Unstable Angina 60.2  162.0   68.0
## 462  67   Male               No  Radial Unstable Angina 60.2  163.0   60.0
## 463  68   Male               No  Radial Unstable Angina 60.2  173.0   75.0
## 464  70 Female               No  Radial Unstable Angina 60.2  152.0   56.0
## 465  54   Male               No  Radial Unstable Angina 60.2  162.0   67.0
## 466  76 Female               No  Radial Unstable Angina 60.4  155.0   55.0
## 467  47   Male               No  Radial          NSTEMI 60.4  175.0   76.0
## 468  56   Male               No  Radial          NSTEMI 60.5  172.0   61.0
## 469  70   Male               No Femoral Unstable Angina 60.5  168.0   65.0
## 470  68 Female               No  Radial           STEMI 60.6  164.0   75.0
## 471  79 Female               No  Radial Unstable Angina 60.6  148.0   40.0
## 472  47   Male               No Femoral          NSTEMI 60.6  170.0   78.0
## 473  62   Male              Yes Femoral           STEMI 60.7  171.0   48.0
## 474  66   Male               No  Radial Unstable Angina 60.7  169.0   63.0
## 475  48   Male               No  Radial Unstable Angina 60.7  171.0   62.0
## 476  73   Male               No  Radial Unstable Angina 60.8  170.0   70.0
## 477  81   Male              Yes  Radial           STEMI 61.0  170.0   77.0
## 478  77   Male               No  Radial           STEMI 61.0  167.0   66.0
## 479  73 Female               No Femoral           STEMI 61.0  160.0   60.0
## 480  49 Female               No Femoral           STEMI 61.0  157.0   55.0
## 481  68   Male               No Femoral           STEMI 61.0  170.0   75.0
## 482  36   Male               No Femoral           STEMI 61.0  178.0   68.0
## 483  65 Female               No  Radial Unstable Angina 61.0  164.0   62.0
## 484  75   Male               No  Radial Unstable Angina 61.0  165.0   72.0
## 485  50   Male               No  Radial Unstable Angina 61.0  170.0   60.0
## 486  75   Male               No  Radial Unstable Angina 61.0  165.0   72.0
## 487  73 Female               No Femoral Unstable Angina 61.0  152.0   57.0
## 490  43 Female               No  Radial Unstable Angina 61.0  164.0   56.0
## 491  57   Male               No  Radial Unstable Angina 61.0  168.0   72.0
## 492  55   Male               No  Radial Unstable Angina 61.0  168.0   82.0
## 493  81   Male               No  Radial           STEMI 61.0  170.0   77.0
## 494  55   Male               No Femoral           STEMI 61.1  176.0   90.0
## 495  59   Male               No  Radial Unstable Angina 61.2  175.0   78.0
## 496  79 Female               No  Radial Unstable Angina 61.2  140.0   45.0
## 497  58   Male               No  Radial Unstable Angina 61.2  166.0   63.0
## 498  63 Female               No Femoral          NSTEMI 61.3  153.0   90.0
## 499  58   Male              Yes  Radial           STEMI 61.3  161.0   66.0
## 500  63 Female              Yes Femoral           STEMI 61.3  159.0   63.0
## 501  52   Male               No  Radial           STEMI 61.3  163.0   64.0
## 502  64 Female               No  Radial Unstable Angina 61.3  155.0   46.0
## 503  62   Male               No  Radial          NSTEMI 61.3  165.0   72.0
## 504  67   Male               No  Radial           STEMI 61.4  163.0   66.0
## 505  65   Male               No  Radial          NSTEMI 61.4  173.0   67.0
## 506  51   Male               No Femoral Unstable Angina 61.4  173.0   79.0
## 507  48 Female               No  Radial           STEMI 61.5  165.0   58.0
## 510  78   Male               No Femoral          NSTEMI 61.5  178.0   73.0
## 511  75   Male               No  Radial           STEMI 61.6  162.0   45.0
## 512  61 Female               No  Radial           STEMI 61.6  155.0   75.0
## 513  45   Male               No  Radial           STEMI 61.6  166.0   70.0
## 514  55 Female               No Femoral          NSTEMI 61.6  153.0   62.0
## 515  42   Male               No  Radial          NSTEMI 61.6  163.0   71.0
## 516  82 Female               No Femoral          NSTEMI 61.7  150.0   50.0
## 517  53   Male               No  Radial          NSTEMI 61.7  164.0   70.0
## 518  49 Female               No  Radial Unstable Angina 61.7  162.0   67.0
## 519  75 Female               No  Radial           STEMI 61.8  157.0   61.0
## 520  79 Female               No Femoral          NSTEMI 61.8  140.0   66.0
## 521  47 Female               No  Radial           STEMI 61.8  153.0   70.0
## 522  83 Female               No  Radial          NSTEMI 61.8  149.0   49.0
## 523  78   Male               No  Radial          NSTEMI 61.8  165.0   70.0
## 524  82 Female               No Femoral          NSTEMI 61.8  158.0   65.0
## 525  80 Female               No Femoral           STEMI 61.9  156.0   57.0
## 526  80 Female               No Femoral           STEMI 61.9  156.0   57.0
## 527  58   Male               No  Radial          NSTEMI 61.9  177.0   79.0
## 528  69 Female               No Femoral          NSTEMI 61.9  158.0   64.0
## 529  67   Male               No  Radial           STEMI 62.0  165.0   56.0
## 530  51   Male               No  Radial           STEMI 62.0  170.0   95.0
## 531  62   Male               No  Radial           STEMI 62.0  170.0   80.0
## 533  59   Male               No  Radial          NSTEMI 62.0  168.0   75.0
## 534  44 Female               No  Radial Unstable Angina 62.0  150.0   51.0
## 535  56   Male               No  Radial Unstable Angina 62.0  170.0   75.0
## 536  49   Male               No  Radial Unstable Angina 62.0  172.0   68.0
## 537  59   Male               No  Radial          NSTEMI 62.2  172.0   86.0
## 538  48 Female               No  Radial Unstable Angina 62.2  153.0   51.0
## 539  47 Female               No  Radial Unstable Angina 62.2  160.0   58.0
## 540  56   Male               No  Radial Unstable Angina 62.2  174.0   83.0
## 541  81   Male               No  Radial           STEMI 62.3  172.0   55.0
## 542  51 Female               No Femoral           STEMI 62.4  161.0   63.0
## 543  85 Female               No  Radial Unstable Angina 62.4  130.0   30.0
## 544  74   Male               No  Radial Unstable Angina 62.4  163.0   71.0
## 545  50 Female               No  Radial Unstable Angina 62.4  152.0   60.0
## 546  56 Female               No Femoral Unstable Angina 62.5  157.0   58.0
## 547  64   Male               No  Radial Unstable Angina 62.6  162.0   80.0
## 548  55 Female               No Femoral Unstable Angina 62.6  154.0   72.0
## 549  50   Male               No  Radial          NSTEMI 62.6  168.0   63.0
## 550  84   Male               No Femoral           STEMI 62.7  168.0   79.0
## 551  64   Male               No  Radial Unstable Angina 62.7  163.0   62.0
## 552  70   Male               No  Radial          NSTEMI 62.7  165.0   65.0
## 553  68 Female               No  Radial Unstable Angina 62.7  148.0   52.0
## 554  48   Male               No  Radial Unstable Angina 62.8  164.0   60.0
## 555  61   Male               No  Radial Unstable Angina 62.8  165.0   67.0
## 556  49 Female               No Femoral Unstable Angina 62.8  150.0   48.0
## 557  55   Male               No Femoral          NSTEMI 62.9  164.0   73.0
## 559  78   Male               No  Radial           STEMI 63.0  160.0   58.0
## 560  87 Female               No Femoral Unstable Angina 63.0  140.0   42.0
## 561  75   Male               No Femoral Unstable Angina 63.0  153.0   63.0
## 562  76 Female               No  Radial Unstable Angina 63.0  153.0   50.0
## 563  66   Male               No Femoral Unstable Angina 63.0  168.0   61.0
## 564  80   Male               No  Radial Unstable Angina 63.0  170.0   78.0
## 565  52 Female               No Femoral Unstable Angina 63.0  158.0   60.0
## 566  70 Female               No Femoral           STEMI 63.1  153.0   43.0
## 567  52   Male               No  Radial           STEMI 63.1  172.0   76.0
## 568  75 Female               No  Radial Unstable Angina 63.1  144.0   39.0
## 569  51   Male               No  Radial Unstable Angina 63.2  168.0   62.0
## 570  41   Male               No  Radial           STEMI 63.3  163.0   64.0
## 571  64 Female               No  Radial          NSTEMI 63.3  155.0   62.0
## 572  62 Female               No  Radial           STEMI 63.4  156.0   52.0
## 573  70 Female               No  Radial           STEMI 63.4  160.0   62.0
## 574  63 Female              Yes Femoral           STEMI 63.4  150.0   66.0
## 575  67 Female               No  Radial Unstable Angina 63.4  147.0   51.0
## 576  80 Female               No  Radial          NSTEMI 63.4  158.0   51.0
## 577  80 Female               No  Radial Unstable Angina 63.4  148.0   57.0
## 578  49 Female               No Femoral Unstable Angina 63.5  159.0   63.0
## 580  49   Male               No  Radial Unstable Angina 63.5  170.0   68.0
## 581  72   Male               No Femoral Unstable Angina 63.5  160.0   58.0
## 582  79 Female               No Femoral          NSTEMI 63.6  154.0   61.0
## 583  78 Female               No Femoral Unstable Angina 63.6  145.0   58.0
## 584  54   Male               No  Radial          NSTEMI 63.7  175.0   74.0
## 585  65   Male               No  Radial Unstable Angina 63.7  170.0   77.0
## 586  62   Male               No Femoral Unstable Angina 63.7  182.0   66.0
## 587  62   Male               No  Radial Unstable Angina 63.7  168.0   64.0
## 588  70   Male              Yes Femoral           STEMI 63.8  172.0   72.0
## 589  67   Male               No  Radial Unstable Angina 63.8  166.0   45.0
## 590  75 Female               No  Radial          NSTEMI 63.8  153.0   55.0
## 591  67   Male               No  Radial Unstable Angina 63.8  166.0   45.0
## 592  69   Male               No  Radial          NSTEMI 63.8  158.0   65.0
## 594  54   Male               No Femoral Unstable Angina 63.8  151.0   68.0
## 595  62   Male               No  Radial Unstable Angina 63.9  172.0   76.0
## 596  65 Female               No Femoral Unstable Angina 63.9  150.0   43.0
## 597  78 Female               No  Radial Unstable Angina 63.9  150.0   40.0
## 598  57   Male               No  Radial          NSTEMI 64.0  163.0   55.0
## 599  51   Male               No  Radial          NSTEMI 64.0  176.0   80.0
## 600  74   Male               No  Radial          NSTEMI 64.0  168.0   70.0
## 601  78 Female               No  Radial Unstable Angina 64.0  155.0   60.0
## 602  71 Female               No Femoral Unstable Angina 64.0  150.0   48.0
## 603  65 Female               No  Radial          NSTEMI 64.0  161.0   51.0
## 604  85   Male               No  Radial Unstable Angina 64.1  171.0   60.0
## 605  44   Male               No  Radial Unstable Angina 64.2  176.0   73.0
## 606  54   Male               No  Radial Unstable Angina 64.2  170.0   66.0
## 607  73 Female               No  Radial Unstable Angina 64.2  165.0   62.0
## 608  53   Male               No Femoral Unstable Angina 64.2  160.0   63.0
## 609  59   Male               No Femoral Unstable Angina 64.2  170.0   85.0
## 610  68 Female               No  Radial Unstable Angina 64.3  154.0   76.0
## 611  49   Male               No  Radial Unstable Angina 64.3  185.0  100.0
## 612  59   Male               No  Radial Unstable Angina 64.3  174.0   67.0
## 613  65   Male               No  Radial          NSTEMI 64.3  160.0   70.8
## 614  75 Female               No  Radial Unstable Angina 64.3  158.0   67.0
## 615  74 Female               No Femoral           STEMI 64.5  150.0   59.0
## 616  67 Female               No  Radial Unstable Angina 64.5  165.0   66.0
## 617  57 Female               No Femoral Unstable Angina 64.5  150.0   65.0
## 618  51 Female               No Femoral Unstable Angina 64.6  164.0   42.0
## 619  51 Female               No Femoral          NSTEMI 64.6  164.0   42.0
## 620  45   Male               No Femoral           STEMI 64.7  174.0   74.0
## 621  61   Male               No  Radial Unstable Angina 64.8  170.0   72.0
## 622  66   Male               No Femoral Unstable Angina 64.8  167.0   71.0
## 623  53 Female               No  Radial Unstable Angina 64.8  150.0   53.0
## 624  66   Male               No  Radial Unstable Angina 64.8  168.0   69.0
## 625  65   Male               No Femoral           STEMI 64.9  169.0   68.0
## 626  62 Female               No Femoral           STEMI 64.9  158.0   67.0
## 627  68   Male               No  Radial          NSTEMI 65.0  159.0   59.0
## 629  60   Male               No  Radial           STEMI 65.0  168.0   70.0
## 630  65   Male               No Femoral Unstable Angina 65.0  167.0   55.0
## 631  80 Female               No  Radial          NSTEMI 65.0  140.0   40.0
## 632  73 Female               No  Radial Unstable Angina 65.0  151.0   60.0
## 633  64   Male               No  Radial          NSTEMI 65.0  168.0   69.0
## 634  70 Female               No Femoral Unstable Angina 65.0  140.0   56.0
## 635  41   Male               No  Radial Unstable Angina 65.0  152.0   50.0
## 636  70 Female               No Femoral Unstable Angina 65.2  151.0   55.0
## 637  57 Female               No Femoral Unstable Angina 65.3  151.0   94.0
## 638  71 Female               No  Radial Unstable Angina 65.3  148.0   55.0
## 639  77   Male               No  Radial           STEMI 65.4  167.0   55.0
## 640  69 Female               No Femoral Unstable Angina 65.4  151.0   67.0
## 641  58   Male               No Femoral Unstable Angina 65.4  160.0   66.0
## 642  68   Male               No  Radial Unstable Angina 65.5  169.0   80.0
## 643  74 Female               No Femoral Unstable Angina 65.5  160.0   55.0
## 644  67   Male               No  Radial Unstable Angina 65.6  173.0   81.0
## 645  51   Male              Yes  Radial           STEMI 65.7  168.0   70.0
## 646  60   Male               No  Radial Unstable Angina 65.7  167.0   78.0
## 647  60   Male               No  Radial Unstable Angina 65.7  167.0   78.0
## 648  66 Female               No  Radial Unstable Angina 65.8  158.0   63.0
## 649  88 Female               No Femoral          NSTEMI 65.8  150.0   50.0
## 650  63   Male               No  Radial          NSTEMI 65.9  160.0   70.0
## 651  88   Male               No  Radial Unstable Angina 66.0  168.0   55.0
## 652  40   Male               No Femoral          NSTEMI 66.0  168.0   62.0
## 653  52   Male               No  Radial Unstable Angina 66.0  178.0   99.0
## 654  65 Female               No  Radial Unstable Angina 66.0  151.0   57.0
## 655  79 Female               No  Radial Unstable Angina 66.0  154.0   63.0
## 656  73   Male               No Femoral Unstable Angina 66.1  160.0   60.0
## 657  53 Female               No Femoral Unstable Angina 66.1  150.0   61.0
## 658  74 Female               No Femoral Unstable Angina 66.2  153.0   55.0
## 659  61   Male               No  Radial Unstable Angina 66.2  183.0  112.0
## 660  56   Male               No  Radial Unstable Angina 66.3  176.0   70.0
## 661  75 Female               No  Radial Unstable Angina 66.3  158.0   60.0
## 662  72 Female               No  Radial Unstable Angina 66.3  153.0   45.0
## 663  56   Male               No  Radial Unstable Angina 66.4  166.0   55.0
## 664  68   Male               No Femoral Unstable Angina 66.4  163.0   59.0
## 665  48   Male               No  Radial Unstable Angina 66.4  161.0   57.0
## 666  41   Male               No  Radial Unstable Angina 66.4  163.0   57.0
## 667  87   Male               No  Radial Unstable Angina 66.4  168.0   55.0
## 669  64 Female               No  Radial Unstable Angina 66.5  160.0   62.0
## 670  69   Male               No Femoral          NSTEMI 66.7  179.0   70.0
## 671  73   Male               No  Radial Unstable Angina 66.7  170.0   76.0
## 672  55   Male              Yes Femoral           STEMI 66.9  178.0   65.0
## 673  79   Male               No  Radial Unstable Angina 66.9  169.0   77.0
## 674  68   Male               No  Radial Unstable Angina 66.9  165.0   67.0
## 675  68   Male               No  Radial Unstable Angina 66.9  165.0   65.0
## 676  65 Female               No Femoral           STEMI 67.0  158.0   64.0
## 677  58   Male               No  Radial Unstable Angina 67.0  167.0   67.0
## 678  72   Male               No Femoral Unstable Angina 67.0  164.0   50.0
## 679  68   Male               No  Radial Unstable Angina 67.0  180.0   82.0
## 680  70 Female              Yes Femoral           STEMI 67.1  150.0   44.0
## 681  41   Male               No  Radial          NSTEMI 67.1  175.0   92.0
## 682  44   Male               No  Radial           STEMI 67.2  173.0   69.0
## 683  67   Male               No  Radial Unstable Angina 67.2  169.0   69.0
## 684  61   Male               No  Radial Unstable Angina 67.2  160.0   67.0
## 685  51   Male               No  Radial Unstable Angina 67.2  167.0   73.0
## 686  64   Male               No  Radial Unstable Angina 67.4  155.0   53.0
## 688  56   Male               No Femoral Unstable Angina 67.5  166.0   76.0
## 689  74 Female               No  Radial Unstable Angina 67.6  155.0   61.0
## 690  75 Female               No  Radial Unstable Angina 67.7  140.0   50.0
## 692  67 Female               No Femoral Unstable Angina 68.0  160.0   60.0
## 693  77 Female               No  Radial Unstable Angina 68.0  157.0   57.0
## 694  52   Male               No  Radial Unstable Angina 68.0  169.0   69.0
## 695  39 Female               No  Radial Unstable Angina 68.2  159.0   54.0
## 697  52 Female               No Femoral Unstable Angina 68.4  148.0   60.0
## 698  41   Male               No  Radial Unstable Angina 68.6  180.0   84.0
## 699  66   Male               No Femoral          NSTEMI 69.0  170.0   67.0
## 700  67   Male               No  Radial Unstable Angina 69.1  170.0   51.0
## 701  46   Male               No  Radial Unstable Angina 69.7  165.0   71.0
## 702  68   Male               No Femoral Unstable Angina 69.9  170.0   54.0
## 703  71 Female               No Femoral Unstable Angina 70.0  145.0   58.0
## 705  73 Female               No  Radial Unstable Angina 70.0  148.0   51.0
## 706  83 Female               No  Radial Unstable Angina 70.2  145.0   60.0
## 707  76 Female               No  Radial Unstable Angina 70.2  150.0   70.0
## 708  68 Female               No  Radial Unstable Angina 71.1  158.0   56.0
## 709  51   Male               No  Radial Unstable Angina 71.5  175.0   70.0
## 710  61   Male               No  Radial Unstable Angina 71.6  165.0   74.0
## 711  61   Male               No  Radial Unstable Angina 71.9  165.0   55.0
## 712  66 Female               No Femoral Unstable Angina 71.9  160.0   60.0
## 713  47   Male               No  Radial          NSTEMI 72.0  170.0   67.0
## 715  59   Male               No  Radial Unstable Angina 73.0  170.0   64.0
## 717  77   Male               No  Radial Unstable Angina 74.0  172.0   76.0
## 718  62   Male               No Femoral          NSTEMI 74.0  163.0   74.0
## 719  62 Female               No  Radial          NSTEMI 75.0  160.0   68.0
## 720  40   Male               No Femoral Unstable Angina 78.1  169.0   74.0
## 721  40   Male               No Femoral Unstable Angina 78.1  169.0   74.0
## 722  91   Male               No  Radial Unstable Angina 79.0  170.0   60.0
##          BMI obesity    TC LDLC HDLC  TG  DM HBP   smoking
## 1   25.51020     Yes 215.0  154   35 155 Yes  No    Smoker
## 4   18.36547      No 121.0   73   20  89  No  No     Never
## 5   24.38653      No 195.0  151   36  63 Yes Yes    Smoker
## 6   25.20398     Yes 184.0  112   38 137 Yes Yes     Never
## 7   27.96802     Yes 161.0   91   34 196 Yes Yes Ex-smoker
## 8   19.53125      No 136.0   88   33  30 Yes Yes Ex-smoker
## 9   28.99931     Yes 239.0  161   34 118 Yes Yes     Never
## 10  21.25850      No 169.0   88   54 141 Yes  No    Smoker
## 11  19.59184      No 272.0  212   32  52 Yes  No Ex-smoker
## 12  25.88757     Yes 184.0  123   43  72 Yes Yes     Never
## 13  23.79536      No 239.0  150   42 156 Yes Yes     Never
## 14  22.66667      No 171.0   94   46 120 Yes  No     Never
## 15  19.62826      No 130.0   78   31 139  No  No Ex-smoker
## 17  23.37258      No 169.0  114   35  63 Yes Yes    Smoker
## 19  23.18367      No 173.0  107   32 115  No Yes    Smoker
## 20  36.52301     Yes 201.0  122   42  77  No  No Ex-smoker
## 21  22.72044      No 125.0   53   55  30 Yes Yes    Smoker
## 22  19.43301      No 108.0   57   41  30  No Yes    Smoker
## 23  24.60973      No 151.0   87   40 117  No  No Ex-smoker
## 24  23.78121      No 233.0  139   44  95  No Yes     Never
## 25  24.22145      No 164.0  114   35  66  No  No    Smoker
## 26  18.73049      No 174.0   86   37 183 Yes Yes     Never
## 27  23.14050      No 225.0  151   32 148  No  No    Smoker
## 28  23.30668      No 148.0   94   37  56 Yes Yes    Smoker
## 30  21.22281      No 208.0  152   36  47 Yes  No    Smoker
## 31  19.97919      No 188.0  118   53  52  No  No    Smoker
## 32  23.14050      No 185.0   92   66  71 Yes Yes     Never
## 33  27.34375     Yes 214.0  145   45  99  No Yes Ex-smoker
## 34  20.24490      No 181.0  120   41  76 Yes Yes    Smoker
## 35  25.51020     Yes 159.0   89   31 115  No Yes    Smoker
## 36  20.57613      No 127.0   61   33  76  No  No Ex-smoker
## 37  21.35931      No 212.0  147   48  83  No  No     Never
## 38  20.19509      No 250.0  162   68  95  No  No Ex-smoker
## 39  18.08021      No 132.0   74   29 156  No  No     Never
## 40  26.21882     Yes 195.0  125   48  89 Yes Yes     Never
## 41  31.22130     Yes 272.0  196   56  58  No Yes    Smoker
## 42  31.11111     Yes 131.0   86   21 102 Yes Yes     Never
## 43  24.80159      No 105.0  265   35 126 Yes  No    Smoker
## 44  25.34435     Yes 140.0   77   45 122 Yes Yes     Never
## 45  23.87543      No 133.0   82   21  92  No Yes Ex-smoker
## 46  25.52964     Yes 198.0  133   42  54  No Yes     Never
## 47  25.59374     Yes 276.0  169   33 233 Yes Yes    Smoker
## 48  29.21841     Yes 117.0   60   24 160 Yes Yes     Never
## 49  21.09375      No  86.0   42   19  78  No Yes Ex-smoker
## 50  18.59012      No 159.0   64   62  29  No Yes     Never
## 51  21.82995      No 223.0   89   31 416 Yes Yes    Smoker
## 52  19.84127      No 165.0  112   42 107  No Yes     Never
## 53  32.56189     Yes 208.0  140   25 243  No  No    Smoker
## 54  25.24934     Yes 195.0  147   37  88  No  No    Smoker
## 55  22.77319      No 134.0   82   40  67 Yes Yes     Never
## 56  27.54821     Yes 194.0  147   30  60  No Yes     Never
## 57  24.97399      No 187.0  108   35 209 Yes Yes     Never
## 58  21.96712      No 164.0  103   34 101  No  No    Smoker
## 59  24.44444      No 176.0   79   54 134 Yes Yes     Never
## 60  27.54821     Yes 186.0  133   47  67  No Yes    Smoker
## 61  20.79673      No 125.0   27   75  37  No  No     Never
## 62  21.97134      No 165.0  110   45  29  No  No    Smoker
## 63  26.83865     Yes 223.0  143   48 115 Yes  No    Smoker
## 64  25.95156     Yes 140.0   89   28  85 Yes Yes    Smoker
## 65  19.47341      No 212.0  125   48  88  No  No     Never
## 66  22.06035      No 189.0  107   49  89  No  No     Never
## 67  27.34375     Yes 174.0  127   21 177 Yes Yes     Never
## 68  22.67574      No 154.0   81   31  36 Yes Yes    Smoker
## 69  26.98962     Yes 231.0  167   41  90  No  No Ex-smoker
## 70  24.74094      No 309.0  222   48 182  No  No     Never
## 71  20.02884      No 175.0   95   46  37  No Yes Ex-smoker
## 73  18.36900      No 208.0  154   37 112 Yes  No     Never
## 74  22.32143      No 221.0  155   56  58  No  No    Smoker
## 75  20.70082      No 154.0   87   48  67  No Yes     Never
## 76  21.48438      No 221.0  166   51  71  No  No    Smoker
## 77  20.90420      No 221.0  147   47 127  No Yes    Smoker
## 78  24.16716      No 152.0  114   16  16  No  No Ex-smoker
## 79  22.03857      No 127.0   70   42  61  No Yes Ex-smoker
## 80  18.90204      No 126.0   71   27  84 Yes Yes     Never
## 81  22.83288      No 166.0  112   38  76  No Yes     Never
## 82  21.41094      No 126.0   72   24  94  No Yes     Never
## 83  22.66667      No 195.0  131   36 140 Yes Yes     Never
## 84  25.24934     Yes 174.0  115   19 151 Yes  No    Smoker
## 85  18.01721      No  99.0   68   24  82  No  No     Never
## 86  24.21875      No 178.0   92   68  42  No Yes     Never
## 88  23.03005      No 185.0  141   26  96  No  No    Smoker
## 90  26.57313     Yes 248.0  155   40 138  No  No    Smoker
## 91  24.44444      No 246.0  141    7  70 Yes Yes Ex-smoker
## 92  25.18079     Yes 231.0   95   58  93  No Yes Ex-smoker
## 93  25.39062     Yes 160.0  100   31 119 Yes Yes     Never
## 94  22.85714      No 202.0   34   14 106  No  No    Smoker
## 95  21.25850      No 140.0   85   25 142  No Yes    Smoker
## 96  22.98190      No 196.0   96   28 446  No  No    Smoker
## 97  21.07720      No 225.0   64   77  91  No Yes    Smoker
## 98  22.10029      No 258.0  195   41  97 Yes  No    Smoker
## 99  20.28123      No 173.0  123   28  76  No Yes Ex-smoker
## 100 22.03857      No 227.0  154   35 108 Yes Yes     Never
## 101 16.65249      No 154.0  102   37  44  No  No    Smoker
## 103 24.44444      No 141.0   65   38  44  No Yes Ex-smoker
## 104 24.69136      No 103.0   52   31  68 Yes Yes    Smoker
## 105 22.10029      No 251.0  161   55 109 Yes Yes     Never
## 106 28.88889     Yes  88.0   29   38  80  No Yes     Never
## 107 23.43750      No  89.0   36   34 120  No Yes     Never
## 109 22.23099      No 178.0  131   45  27  No Yes Ex-smoker
## 110 25.21625     Yes 139.0   90   38  74  No Yes Ex-smoker
## 111 21.92886      No 164.0  102   35  92  No  No    Smoker
## 112 24.76757      No 209.0  140   36 212 Yes Yes Ex-smoker
## 113 21.67126      No 234.0  153   56 109  No  No    Smoker
## 114 20.54989      No 126.0   63   48  62 Yes Yes Ex-smoker
## 116 26.53376     Yes 164.0  111   38  91 Yes Yes    Smoker
## 118 24.34176      No 174.0  103   10 129  No Yes Ex-smoker
## 119 25.14861     Yes 179.0  119   31 120  No Yes     Never
## 120 23.43750      No  25.0   96   10  26  No  No    Smoker
## 121 23.87511      No 164.0  109   33  40  No Yes    Smoker
## 122 26.07897     Yes 184.0  124   29 414 Yes  No    Smoker
## 123 24.97399      No 180.0  132   40  60 Yes Yes Ex-smoker
## 124 24.67702      No 278.0  188   37 146 Yes Yes Ex-smoker
## 125 19.59184      No 143.0   91   33  50  No  No    Smoker
## 126 23.43750      No 222.0  161   40 118  No  No     Never
## 127 23.33547      No 160.0   81   41 166  No  No Ex-smoker
## 128 25.25952     Yes 258.0  189   36  66 Yes  No    Smoker
## 129 20.76125      No 221.0  108   44 178 Yes Yes     Never
## 130 21.07720      No 277.0  194   40 154  No Yes    Smoker
## 131 27.43725     Yes 212.0  128   50  45  No Yes     Never
## 132 22.22222      No 151.0   96   43  39  No  No    Smoker
## 133 27.61341     Yes 165.0  105   39  85  No Yes     Never
## 134 23.71961      No 172.0  116   35  58 Yes  No Ex-smoker
## 135 20.02884      No 166.0   98   39 113 Yes  No    Smoker
## 137 23.12062      No 210.0  153   44  54  No  No     Never
## 138 30.47797     Yes 197.0  131   42 143  No Yes    Smoker
## 139 20.70082      No 148.0   84   37 103  No Yes     Never
## 140 22.65625      No 159.0   91   45  67  No Yes     Never
## 141 23.30905      No 315.0  205   75  80 Yes Yes     Never
## 142 24.60938      No 210.0  167   27 130  No  No    Smoker
## 143 22.09317      No 160.0  112   32 142  No  No     Never
## 144 26.12245     Yes 208.0  151   41 224  No Yes    Smoker
## 145 22.89282      No 165.0   83   50  63 Yes  No     Never
## 146 23.52941      No 181.0  113   38  33  No  No    Smoker
## 147 26.92744     Yes 199.0  132   38 211  No  No Ex-smoker
## 148 25.20920     Yes 207.0  146   30 101 Yes  No Ex-smoker
## 149 22.65625      No 143.0   94   24  92  No Yes Ex-smoker
## 150 21.25850      No 195.0  144   30  66  No Yes    Smoker
## 151 27.43484     Yes 185.0   91   68  78  No Yes Ex-smoker
## 152 24.85795      No 145.0   98   36  38  No  No     Never
## 153 26.91273     Yes 205.0  112   44  75 Yes  No    Smoker
## 154 21.51386      No 201.0   76   31  55 Yes  No     Never
## 155 34.47525     Yes 116.0   47   50 129 Yes Yes    Smoker
## 156 29.02531     Yes 134.0   71   39  96 Yes  No Ex-smoker
## 157 23.71184      No 205.0  136   48 117  No  No     Never
## 158 23.52941      No 239.0   15   41  78 Yes Yes    Smoker
## 159 21.45329      No 169.0  108   44  55  No Yes Ex-smoker
## 160 22.97194      No 139.0   76   33  76  No Yes     Never
## 161 24.14152      No 242.0  172   32 302 Yes Yes     Never
## 163 22.06035      No 278.0  185   45 210  No Yes     Never
## 164 17.00680      No 113.0   79   14  47  No  No    Smoker
## 165 17.00680      No 113.0   79   14  47  No  No    Smoker
## 166 26.98962     Yes 216.0  143   41 138  No  No Ex-smoker
## 167 18.66667      No 184.0  125   42  25 Yes Yes     Never
## 168 18.66667      No 123.0   71   27  73  No  No    Smoker
## 169 20.67901      No 141.0   98   32  54 Yes Yes Ex-smoker
## 170 27.47138     Yes 202.0  130   37 134  No Yes Ex-smoker
## 171 23.38869      No 202.0  157   45  40  No  No Ex-smoker
## 172 27.42857     Yes 180.0  107   42 130  No Yes    Smoker
## 173 22.40588      No 182.0  125   36  74 Yes Yes Ex-smoker
## 174 21.87500      No 228.0  181   29  66  No Yes    Smoker
## 175 24.16716      No 155.0   82   59  77 Yes  No Ex-smoker
## 176 20.44444      No 153.0  101   32 113 Yes Yes Ex-smoker
## 177 24.97704      No 236.0  173   10  77 Yes  No    Smoker
## 178 22.12974      No 181.0  110   51  49  No  No Ex-smoker
## 179 18.59012      No 168.0  107   41  69  No  No     Never
## 180 23.88946      No 245.0  166   50 128  No  No     Never
## 181 24.72518      No 218.0  147   47 120  No Yes Ex-smoker
## 182 20.76125      No 169.0   92   10 142  No  No Ex-smoker
## 183 32.45568     Yes 199.0  129   32 257 Yes Yes    Smoker
## 184 22.80602      No 222.0  161   42 120  No Yes Ex-smoker
## 185 22.52151      No 203.0  141   38  57 Yes  No Ex-smoker
## 186 27.09925     Yes 187.0  123   47 192  No Yes    Smoker
## 187 20.00000      No 209.0  156   42  84  No Yes     Never
## 188 25.06575     Yes 190.0  128   43 126  No Yes Ex-smoker
## 189 21.40309      No 256.0  166    8  64  No Yes     Never
## 191 22.03173      No 152.0   79   51 108  No  No    Smoker
## 192 20.76125      No 212.0  149   33 120  No Yes    Smoker
## 193 20.00000      No 323.0  220   50 184 Yes Yes     Never
## 194 27.04164     Yes 192.0  136   32 106 Yes Yes     Never
## 195 22.03857      No 146.0   99   33  78  No Yes Ex-smoker
## 196 27.82931     Yes 227.0  132   47 111 Yes Yes     Never
## 197 22.03857      No 189.0  127   41  68  No  No    Smoker
## 198 22.30815      No 169.0  118   28 156  No  No    Smoker
## 199 27.54821     Yes 200.0  134   34 217 Yes  No    Smoker
## 200 21.45329      No 235.0  180   40  90  No  No Ex-smoker
## 201 25.39062     Yes 168.0  118   40  24 Yes Yes    Smoker
## 202 17.91509      No 168.0  111   36  76  No Yes Ex-smoker
## 203 26.12245     Yes 230.0  151   40 201  No  No    Smoker
## 204 29.72652     Yes 188.0  142   29 110  No  No    Smoker
## 205 31.68855     Yes 152.0   93   29 135  No Yes     Never
## 206 27.45060     Yes 193.0  141   30 203  No  No    Smoker
## 207 24.97399      No 153.0   92   35  84  No  No     Never
## 208 19.53125      No 144.0   75   50  44  No  No    Smoker
## 209 22.44802      No 215.0  159   30 164  No  No    Smoker
## 210 22.03857      No 143.0   91   39  44 Yes Yes Ex-smoker
## 211 22.37568      No 189.0  128   40 115  No  No    Smoker
## 212 26.81359     Yes 157.0   99   41 105 Yes  No     Never
## 213 23.24380      No 183.0  120   11  71  No  No    Smoker
## 214 24.14152      No 251.0  141   50 136  No Yes Ex-smoker
## 215 19.03114      No 184.0  129   32 101  No Yes Ex-smoker
## 216 29.41076     Yes  33.0  103   10 110  No  No    Smoker
## 217 25.71166     Yes 208.0  148   28  38  No  No    Smoker
## 218 27.34375     Yes 246.0  163   53  80  No Yes     Never
## 219 24.60938      No 184.0  130   39  65  No Yes     Never
## 221 20.07733      No  96.0   60   24  80 Yes Yes     Never
## 222 23.04688      No 226.0  162   45  55  No Yes     Never
## 223 26.03749     Yes 151.0   79   52  60  No Yes Ex-smoker
## 224 24.97704      No 155.0   74   43 109 Yes  No Ex-smoker
## 225 22.89282      No 231.0  130   43 178 Yes Yes     Never
## 226 18.90204      No 159.0   71   47 172 Yes Yes     Never
## 227 19.25703      No 227.0  170   34 108  No Yes    Smoker
## 228 25.71166     Yes 262.0  205   26 154  No  No    Smoker
## 229 22.65625      No 148.0   87   39  78  No Yes Ex-smoker
## 230 24.50895      No 166.0  119   33  83  No Yes     Never
## 231 22.83288      No 289.0  224   44  81 Yes  No    Smoker
## 232 23.97959      No 203.0  157   39  79 Yes Yes     Never
## 233 25.46198     Yes 128.0   74   35  75  No  No     Never
## 234 22.72440      No 147.0   77   42  71  No  No    Smoker
## 236 24.56747      No 200.0  166   38 176  No Yes    Smoker
## 237 24.97399      No 229.0  154   51 121 Yes Yes     Never
## 238 27.47138     Yes 175.0  104   59  24  No Yes Ex-smoker
## 239 21.40309      No 199.0  107   60 119  No Yes     Never
## 240 24.16327      No 164.0   87   36  54 Yes Yes Ex-smoker
## 241 22.77319      No 137.0   81   39  46 Yes Yes Ex-smoker
## 242 22.65625      No 166.0  104   46  48  No  No Ex-smoker
## 244 26.29758     Yes 222.0  149   36 135  No  No    Smoker
## 245 26.31464     Yes 163.0   90   41 177  No  No Ex-smoker
## 246 21.46194      No 190.0  129   29 118  No  No    Smoker
## 247 24.78426      No 150.0   79   47 174 Yes  No    Smoker
## 248 32.34682     Yes 144.0   98   37  62 Yes Yes Ex-smoker
## 249 25.39062     Yes 217.0  170   33  49  No  No    Smoker
## 250 27.13141     Yes 214.0  132   43 194 Yes  No Ex-smoker
## 251 25.60554     Yes 143.0   83   20 163  No  No    Smoker
## 252 21.61281      No 170.0  116   50  48  No  No    Smoker
## 253 31.64062     Yes 213.0   76   36 489  No Yes    Smoker
## 254 24.44180      No 178.0  104   39 263 Yes Yes    Smoker
## 255 30.10381     Yes 210.0  145   38 169  No  No    Smoker
## 256 21.77384      No 178.0  121   29 115  No  No    Smoker
## 257 23.14050      No 195.0  128   36 136  No  No    Smoker
## 258 26.12245     Yes 248.0  158   37 240  No  No    Smoker
## 259 27.34375     Yes 199.0  118   38 212  No Yes    Smoker
## 260 27.30997     Yes 151.0   77   43 130  No Yes     Never
## 261 18.36547      No  98.0   48   37  27 Yes  No     Never
## 262 20.00000      No 231.0  141   50  98 Yes Yes     Never
## 263 24.07407      No 223.0  159   25 184 Yes Yes    Smoker
## 264 23.87543      No 148.0  103   33 133 Yes Yes    Smoker
## 265 22.64086      No 271.0  179   40 179 Yes Yes     Never
## 266 24.97704      No 166.0  129   28 125  No Yes    Smoker
## 267 28.73175     Yes 184.0  133   36 112  No Yes    Smoker
## 268 23.80869      No 187.0  146   34  65  No  No    Smoker
## 269 26.82742     Yes 240.0  196   36 194  No  No    Smoker
## 270 24.77210      No 179.0  121   37  76  No  No    Smoker
## 271 26.15563     Yes 230.0  154   45 169  No  No Ex-smoker
## 272 27.71769     Yes 164.0  119   23 151  No  No Ex-smoker
## 273 22.86237      No 199.0  129   39  75  No Yes     Never
## 274 28.88889     Yes 207.0  134   42 135  No Yes     Never
## 275 22.65625      No 156.0  111   35  62 Yes  No     Never
## 276 24.91349      No 225.0  108   48 257  No  No Ex-smoker
## 277 25.86451     Yes 170.0  114   37  70  No Yes Ex-smoker
## 278 27.42857     Yes 180.0  122   34  70  No Yes Ex-smoker
## 280 19.53125      No 105.0   51   29 123  No Yes    Smoker
## 281 22.38631      No 181.0  112   51  32  No  No    Smoker
## 282 23.19109      No 181.0  123   44  43  No  No     Never
## 284 22.09317      No 137.0   73   47  31  No Yes    Smoker
## 285 27.18090     Yes 140.0   88   34 181  No Yes Ex-smoker
## 286 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 287 24.31412      No 227.0  144   47  75  No Yes    Smoker
## 288 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 289 22.12974      No 168.0  112   44  61  No Yes    Smoker
## 290 25.33333     Yes 102.0   72   25  65 Yes Yes     Never
## 291 25.01352     Yes 168.0  107   28 188 Yes  No    Smoker
## 292 24.18705      No 176.0   87   46 218  No  No    Smoker
## 293 31.07354     Yes  97.0   53   26  93 Yes  No    Smoker
## 294 20.18462      No 189.0   91   45 141  No  No    Smoker
## 295 20.18462      No 207.0  137   43 136  No  No    Smoker
## 296 27.34375     Yes 154.0   86   42 148 Yes Yes Ex-smoker
## 297 23.93899      No 163.0  102   28 220  No  No    Smoker
## 298 21.45329      No 208.0  113   41 259  No  No    Smoker
## 299 28.65014     Yes 116.0   48   38 164 Yes Yes    Smoker
## 300 21.45329      No 131.0   67   30 156  No Yes    Smoker
## 301 23.47303      No 211.0  145   39  75  No Yes     Never
## 302 23.33547      No 162.0  103   26 184  No  No Ex-smoker
## 303 25.56495     Yes 161.0  108   34  59  No  No    Smoker
## 304 23.50781      No 218.0  171   35 120  No Yes Ex-smoker
## 305 19.25703      No 182.0  123   33 120 Yes Yes Ex-smoker
## 306 22.52151      No 244.0  161   48  97  No Yes     Never
## 307 26.17188     Yes 239.0  169   43 112  No  No    Smoker
## 308 23.12062      No 230.0  143   58 109  No  No     Never
## 309 23.43750      No 118.0   70   35  95  No Yes    Smoker
## 310 25.39062     Yes 170.0  128   35  58  No Yes Ex-smoker
## 311 27.54821     Yes 228.0  175   46  98 Yes Yes    Smoker
## 312 23.63403      No 168.0  104   45 646  No Yes     Never
## 313 25.76298     Yes 182.0  111   43 134  No Yes    Smoker
## 314 41.42012     Yes 229.0  148   47 151 Yes Yes Ex-smoker
## 315 24.14152      No 223.0  147   33 147 Yes Yes     Never
## 316 27.99036     Yes 198.0  131   38 101  No  No    Smoker
## 317 22.05805      No 154.0   98   29  91  No Yes    Smoker
## 318 23.42356      No 192.0  110   39  81  No Yes    Smoker
## 319 26.07897     Yes 158.0   89   30 157  No Yes    Smoker
## 320 20.02884      No 160.0   83   49  58  No  No    Smoker
## 321 30.79585     Yes 172.0  104   36 189 Yes Yes    Smoker
## 322 25.39343     Yes 155.0   70   45 217  No Yes    Smoker
## 323 32.04615     Yes 330.0  263   49  84 Yes  No Ex-smoker
## 324 21.70139      No 202.0  128   31 149  No  No     Never
## 325 26.44898     Yes 149.0   93   24 154 Yes Yes Ex-smoker
## 326 27.10204     Yes 120.0   63   38 112  No  No    Smoker
## 327 27.45865     Yes 173.0  113   33 138 Yes  No     Never
## 328 22.20408      No 188.0  132   28 131 Yes Yes    Smoker
## 330 22.32143      No 108.0   60   21 123 Yes Yes    Smoker
## 331 18.42404      No 199.0  125   38 141 Yes Yes     Never
## 332 24.60938      No 141.0   79   28 152  No  No     Never
## 333 23.04688      No 178.0  100   33 176  No Yes     Never
## 334 24.30462      No 132.8   77   32 119 Yes Yes    Smoker
## 335 21.35780      No 105.0   45   38  28  No Yes    Smoker
## 336 21.40309      No 191.0  106   52  64 Yes Yes     Never
## 337 22.54658      No 161.0  107   25 164 Yes Yes     Never
## 338 27.34375     Yes 178.0  101   35 123 Yes Yes     Never
## 339 24.22145      No 159.0   93   47  88  No  No     Never
## 340 20.19558      No 223.0  126   66  83  No Yes    Smoker
## 341 29.93827     Yes 194.0  143   41 108  No  No    Smoker
## 342 25.43748     Yes 255.0  136   51 176  No Yes     Never
## 343 26.10656     Yes 154.0   71   55  68  No  No Ex-smoker
## 344 27.81588     Yes 184.0   90   63 135 Yes Yes     Never
## 345 27.18090     Yes 182.0  113   24  64  No  No    Smoker
## 346 24.03461      No 146.0   88   45  65  No  No     Never
## 347 26.33289     Yes 199.0  149   21 114  No Yes Ex-smoker
## 348 25.86451     Yes 226.0  146   53  31  No  No    Smoker
## 349 26.77551     Yes 164.0   93   47  60 Yes Yes     Never
## 351 24.46460      No 144.0   94   30  75  No Yes     Never
## 352 23.14050      No 127.0   81   28  80  No Yes    Smoker
## 353 24.50895      No 286.0  198   48 166  No  No Ex-smoker
## 354 21.22789      No 177.0  113   34 151  No  No Ex-smoker
## 355 23.30109      No 117.0   69   34  19 Yes Yes    Smoker
## 356 22.03857      No 169.0  109   41 106  No Yes Ex-smoker
## 357 23.03005      No 166.0  102   10  87 Yes Yes    Smoker
## 358 26.29758     Yes 118.0   74   25  61  No Yes     Never
## 359 25.59374     Yes 193.0  102   42 200 Yes  No    Smoker
## 360 26.21882     Yes 178.0  111   39  20  No  No     Never
## 361 24.03461      No 179.0  117   44  93 Yes Yes     Never
## 362 24.22145      No 173.0  112   23  90 Yes Yes    Smoker
## 363 25.28257     Yes 125.0   55   39 109 Yes Yes     Never
## 364 28.65014     Yes 210.0  152   38  63  No Yes     Never
## 365 24.72518      No 178.0  117   42  79  No Yes     Never
## 366 29.38776     Yes 267.0  202   38 215 Yes Yes    Smoker
## 367 31.74179     Yes 206.0  123   26 276  No  No    Smoker
## 368 24.60973      No 231.0  125   76  79 Yes  No    Smoker
## 369 24.80159      No 211.0  157   37 154  No Yes    Smoker
## 370 26.63496     Yes 213.0  141   34  62  No Yes     Never
## 371 27.54821     Yes 239.0   83   37 319  No  No Ex-smoker
## 372 24.84098      No 162.0  108   39 136  No Yes    Smoker
## 373 22.43230      No 221.0  136   70 118  No Yes Ex-smoker
## 374 25.95156     Yes 202.0  140   34  37 Yes Yes     Never
## 375 23.80869      No 246.0  185   41 154  No  No    Smoker
## 376 25.96454     Yes 205.0  112   65  82  No Yes Ex-smoker
## 377 21.96712      No 248.0  182   37 122  No  No    Smoker
## 378 23.04688      No 168.0   98   36  32  No Yes    Smoker
## 379 22.89282      No 220.0  151   34 162  No Yes     Never
## 380 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 381 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 382 22.22222      No  95.0   41    8 105 Yes Yes     Never
## 384 22.22222      No 128.0   65   38  83  No  No     Never
## 385 36.67820     Yes 210.0  150   33 181 Yes  No    Smoker
## 386 17.57812      No 163.0   99   55  44  No  No Ex-smoker
## 387 22.53061      No 134.0   95   15 109  No  No Ex-smoker
## 388 29.00059     Yes 216.0  163   34 181  No Yes     Never
## 389 24.80159      No 188.0  114   33 201  No Yes    Smoker
## 390 20.54419      No 206.0  123   49  99  No Yes Ex-smoker
## 391 22.49135      No 213.0  139   42  57  No  No     Never
## 392 27.04164     Yes 154.0   71   50 115 Yes Yes     Never
## 394 26.07897     Yes 195.0  133   33  45  No Yes     Never
## 395 24.03461      No 103.0   36   38 132 Yes Yes     Never
## 396 20.76125      No 171.0  100   49 127  No Yes    Smoker
## 397 20.20202      No 199.0  133   37  30  No Yes     Never
## 398 23.33547      No 232.0  108   24 375 Yes Yes     Never
## 399 28.94610     Yes 215.0  147   30 118  No Yes     Never
## 400 21.92613      No 126.0   76   27  83  No  No     Never
## 401 24.21875      No 190.0  118   23 152 Yes Yes     Never
## 402 24.67550      No 188.0  104   59 113  No Yes    Smoker
## 403 24.89706      No 155.8   97   22 184  No  No Ex-smoker
## 404 26.66667     Yes 183.0  134   36  79 Yes  No     Never
## 406 19.37716      No 198.0  136   46 139 Yes  No Ex-smoker
## 407 22.49135      No 164.0  109   34  61  No  No Ex-smoker
## 408 17.92822      No  78.0   49   26  34  No Yes    Smoker
## 409 33.62209     Yes 183.0  112   30  64 Yes Yes     Never
## 410 26.34649     Yes 246.0  178   48  82  No  No    Smoker
## 411 22.89282      No 314.0  208   63 176 Yes Yes     Never
## 412 21.23057      No 134.0   72   51  76  No  No     Never
## 414 23.72529      No 167.0  115   37  51  No Yes     Never
## 415 21.25850      No 129.0   74   25  88  No Yes     Never
## 416 26.95312     Yes 114.0   62   37 150  No Yes Ex-smoker
## 417 26.42357     Yes 203.0  128   48  60  No Yes Ex-smoker
## 418 22.23099      No 197.0  138   27 110  No  No Ex-smoker
## 419 25.86451     Yes 235.0  190   34  87 Yes Yes Ex-smoker
## 420 23.66524      No 189.0  120   38 110  No Yes Ex-smoker
## 421 28.65014     Yes 197.0  121   41 124  No Yes    Smoker
## 422 26.25958     Yes 155.0   87   39  61 Yes Yes    Smoker
## 423 24.44444      No 139.0  175    5  66  No Yes     Never
## 424 25.76298     Yes 203.0  128   35 258 Yes Yes    Smoker
## 425 26.53376     Yes 179.0   74   29 377 Yes Yes     Never
## 426 24.38237      No 184.0  117   34  99  No Yes    Smoker
## 427 26.40235     Yes 155.0  105   41 108 Yes Yes     Never
## 428 19.10009      No 227.0  140   35 192  No  No    Smoker
## 429 26.17188     Yes 185.0  113   41  92 Yes Yes     Never
## 431 21.77778      No 258.0  161   31 185 Yes Yes     Never
## 432 24.46460      No 224.0  149   26 217 Yes  No Ex-smoker
## 433 23.58833      No 234.0  153   35 129  No  No    Smoker
## 434 26.23356     Yes 100.0   38   42  65 Yes Yes Ex-smoker
## 435 27.40766     Yes 118.0   50   33  97 Yes Yes Ex-smoker
## 436 24.38653      No 191.0  148   27  92  No  No     Never
## 437 27.68166     Yes 164.0  113   43  30 Yes Yes Ex-smoker
## 438 21.40309      No 176.0  118   34 142 Yes  No     Never
## 440 29.93827     Yes 204.0  107   43 180  No  No     Never
## 441 23.66144      No 265.0  177   45 288 Yes  No    Smoker
## 442 22.38631      No 162.0   94   39  92  No  No    Smoker
## 443 25.71101     Yes 193.0  119   28 107  No Yes     Never
## 444 23.03005      No 145.0   52   24 680 Yes  No    Smoker
## 445 24.48980      No 206.0  128   40  66  No Yes    Smoker
## 446 19.55556      No 177.0   44   55  77 Yes  No     Never
## 447 30.44384     Yes 167.0  117   35 117  No Yes     Never
## 448 23.14050      No 225.0  151   32 148  No  No    Smoker
## 449 23.78121      No 201.0  154   34 144  No Yes Ex-smoker
## 450 23.72281      No 141.0   72   41 239  No  No Ex-smoker
## 451 22.95918      No 480.0  314   44 243 Yes Yes     Never
## 452 25.95156     Yes 145.0   83   35  66  No Yes     Never
## 453 22.23099      No 150.0   82   26 153 Yes  No    Smoker
## 455 26.76978     Yes 134.0   98   24  60  No  No    Smoker
## 456 18.81892      No 130.0   43   61  72  No Yes    Smoker
## 457 18.42404      No 493.0  366   59 163  No  No Ex-smoker
## 458 24.97399      No 131.0   57   44 124  No  No Ex-smoker
## 459 19.53125      No 190.0  115   51  38  No  No Ex-smoker
## 460 24.97399      No 153.0   87   34  22 Yes  No     Never
## 461 25.91068     Yes 203.0  120   36 297  No Yes    Smoker
## 462 22.58271      No 163.0  106   30 155  No Yes     Never
## 463 25.05931     Yes 217.0  152   24 150  No Yes Ex-smoker
## 464 24.23823      No 181.0  122   34  68  No Yes     Never
## 465 25.52964     Yes 139.0   77   57  67  No Yes    Smoker
## 466 22.89282      No 202.0  121   31 207 Yes  No     Never
## 467 24.81633      No 205.0  106   34 246  No  No    Smoker
## 468 20.61925      No 186.0  144   34  53  No  No    Smoker
## 469 23.03005      No 182.0  119   49  48  No Yes     Never
## 470 27.88519     Yes 232.0  132   60 132 Yes Yes     Never
## 471 18.26150      No 170.0   85   20 311 Yes Yes     Never
## 472 26.98962     Yes 188.0  126   39 173  No  No    Smoker
## 473 16.41531      No 143.0   99   27  75 Yes  No    Smoker
## 474 22.05805      No 261.0  189   43 104  No  No Ex-smoker
## 475 21.20311      No 183.0   86   65 115  No  No    Smoker
## 476 24.22145      No 185.0  103   34 155 Yes Yes Ex-smoker
## 477 26.64360     Yes  91.0   50   26  70  No Yes Ex-smoker
## 478 23.66524      No 122.0   65   47  11  No Yes Ex-smoker
## 479 23.43750      No 161.0  114   32  61  No Yes     Never
## 480 22.31328      No 182.0  109   52  30  No Yes     Never
## 481 25.95156     Yes 147.0   93   38  74  No  No Ex-smoker
## 482 21.46194      No 157.0  122   22  70  No  No    Smoker
## 483 23.05175      No 184.0  136   32 135  No Yes Ex-smoker
## 484 26.44628     Yes  98.0   52   29  60 Yes Yes Ex-smoker
## 485 20.76125      No 163.0   96   38 170 Yes Yes    Smoker
## 486 26.44628     Yes 173.0  117   36  44 Yes Yes     Never
## 487 24.67105      No 190.0  100   38 125  No Yes Ex-smoker
## 490 20.82094      No 214.0  120   46  53  No  No     Never
## 491 25.51020     Yes 195.0  128   42  64  No Yes     Never
## 492 29.05329     Yes 188.0   75   35 619 Yes Yes    Smoker
## 493 26.64360     Yes 116.0   83   23  41  No Yes Ex-smoker
## 494 29.05475     Yes 261.0  208   28  98  No  No    Smoker
## 495 25.46939     Yes 177.0  131   32 104  No Yes     Never
## 496 22.95918      No 149.0  104   26  54  No Yes    Smoker
## 497 22.86253      No 186.0   92   44  93  No  No     Never
## 498 38.44675     Yes 181.0  116   51  72 Yes  No     Never
## 499 25.46198     Yes 131.0   76   39  58 Yes Yes    Smoker
## 500 24.91990      No 140.0   53   10  31  No  No     Never
## 501 24.08822      No 200.0  143   40  65 Yes Yes Ex-smoker
## 502 19.14672      No 197.0  112   51  81  No Yes    Smoker
## 503 26.44628     Yes 122.0   73   26  80 Yes Yes     Never
## 504 24.84098      No 162.0  102   44  81  No  No Ex-smoker
## 505 22.38631      No 151.0   90   45  49  No  No     Never
## 506 26.39580     Yes 163.0   91   25 219  No  No    Smoker
## 507 21.30395      No 154.0   60   60 139  No  No    Smoker
## 510 23.04002      No 153.0   92   46  62 Yes Yes    Smoker
## 511 17.14678      No 128.0   65   44  45  No  No    Smoker
## 512 31.21748     Yes 245.0  184   52  41 Yes  No     Never
## 513 25.40282     Yes 255.0  152   46 312 Yes Yes    Smoker
## 514 26.48554     Yes 126.0   66   30 123 Yes Yes    Smoker
## 515 26.72287     Yes 183.0  125   35 129  No  No    Smoker
## 516 22.22222      No 163.0  103   47  29  No Yes     Never
## 517 26.02617     Yes 203.0   94   19 458  No Yes    Smoker
## 518 25.52964     Yes 233.0  163   41 138 Yes Yes     Never
## 519 24.74745      No 165.0  100   32 129 Yes Yes     Never
## 520 33.67347     Yes 236.0  144   60 189 Yes Yes    Smoker
## 521 29.90303     Yes 194.0  133   43 257  No Yes Ex-smoker
## 522 22.07108      No 207.0  158   25 106  No Yes     Never
## 523 25.71166     Yes 141.0   69   54 153 Yes Yes     Never
## 524 26.03749     Yes  32.0  100    4  66 Yes Yes     Never
## 525 23.42209      No 226.0  150   40 128  No Yes    Smoker
## 526 23.42209      No 188.0  117   49 128  No Yes    Smoker
## 527 25.21625     Yes 196.0  136   21 180  No Yes    Smoker
## 528 25.63692     Yes 225.0  164   39 127 Yes Yes     Never
## 529 20.56933      No 189.0  105   58  66  No Yes    Smoker
## 530 32.87197     Yes 182.0  142   40  99 Yes Yes    Smoker
## 531 27.68166     Yes 217.0  159   34 143  No Yes    Smoker
## 533 26.57313     Yes 185.0   80   33 318  No Yes     Never
## 534 22.66667      No 296.0   93   26 393 Yes Yes Ex-smoker
## 535 25.95156     Yes 198.0  123   40 165 Yes  No    Smoker
## 536 22.98540      No 191.0  122   46  53  No  No    Smoker
## 537 29.06977     Yes 351.0  270   35 194  No  No    Smoker
## 538 21.78649      No 151.0   81   55  45  No  No     Never
## 539 22.65625      No 178.0  109   48  36  No Yes Ex-smoker
## 540 27.41445     Yes 181.0  124   30  92  No Yes     Never
## 541 18.59113      No 207.0  141   48  69  No  No Ex-smoker
## 542 24.30462      No 223.0  136   46 247 Yes Yes     Never
## 543 17.75148      No 177.0  105   35  56  No  No    Smoker
## 544 26.72287     Yes 191.0  116   41 112  No Yes Ex-smoker
## 545 25.96953     Yes 162.0   99   39 115  No Yes    Smoker
## 546 23.53037      No 178.0  121   25 165  No Yes Ex-smoker
## 547 30.48316     Yes 183.0  110   46 143 Yes Yes    Smoker
## 548 30.35925     Yes 161.0   75   33 187  No Yes     Never
## 549 22.32143      No 204.0  136   46 115  No Yes     Never
## 550 27.99036     Yes 159.0  102   30  80  No Yes Ex-smoker
## 551 23.33547      No 344.0   71   30 217  No Yes Ex-smoker
## 552 23.87511      No 184.0  126   39 101 Yes  No    Smoker
## 553 23.73996      No 207.0  101   48 168 Yes  No     Never
## 554 22.30815      No 152.0   64   58 151  No  No    Smoker
## 555 24.60973      No 177.0  123   41  66  No Yes     Never
## 556 21.33333      No 195.0  121   40 145  No Yes     Never
## 557 27.14158     Yes 315.0  235   55 100  No  No    Smoker
## 559 22.65625      No 198.0  138   35 110  No  No    Smoker
## 560 21.42857      No 200.0  135   44 103  No  No     Never
## 561 26.91273     Yes 151.0   82   31 143 Yes  No Ex-smoker
## 562 21.35931      No 275.0  178   45  87  No Yes     Never
## 563 21.61281      No 246.0   64   29 801 Yes  No Ex-smoker
## 564 26.98962     Yes 197.0  144   26 166 Yes Yes     Never
## 565 24.03461      No 238.0  152   44 192 Yes Yes     Never
## 566 18.36900      No 170.0  105   44  57  No Yes     Never
## 567 25.68956     Yes 123.0   70   35 109  No Yes    Smoker
## 568 18.80787      No 293.0  151   42 454  No Yes     Never
## 569 21.96712      No 246.0  178   44 146 Yes  No    Smoker
## 570 24.08822      No 196.0  126   33 182  No  No    Smoker
## 571 25.80645     Yes 216.0  143   16 168 Yes Yes     Never
## 572 21.36752      No 248.0  174   46 200 Yes Yes    Smoker
## 573 24.21875      No 192.0   68   23 459  No  No    Smoker
## 574 29.33333     Yes 230.0  155   49  91  No  No    Smoker
## 575 23.60128      No 198.0  108   38 268 Yes Yes     Never
## 576 20.42942      No 204.0  124   47 110  No Yes     Never
## 577 26.02264     Yes 214.0  140   43  76 Yes Yes     Never
## 578 24.91990      No 204.0  108   53 170 Yes Yes Ex-smoker
## 580 23.52941      No 158.0  104   31  64  No Yes    Smoker
## 581 22.65625      No 102.0   55   34  89  No  No    Smoker
## 582 25.72103     Yes 205.0  143   33 117  No  No     Never
## 583 27.58621     Yes 246.0  175   39 110 Yes Yes     Never
## 584 24.16327      No 246.0  174   45 165  No Yes Ex-smoker
## 585 26.64360     Yes 104.0   27   84  81  No  No Ex-smoker
## 586 19.92513      No 136.0   63   42  78  No Yes     Never
## 587 22.67574      No 230.0  173   32  86  No  No    Smoker
## 588 24.33748      No 186.0  148   36  67  No Yes    Smoker
## 589 16.33038      No 199.0  113   58  58 Yes  No    Smoker
## 590 23.49524      No 228.0  116   67  68 Yes Yes Ex-smoker
## 591 16.33038      No 164.0   99   40  91 Yes  No Ex-smoker
## 592 26.03749     Yes 190.0  118   29 153  No Yes Ex-smoker
## 594 29.82325     Yes 161.0   83   50 108 Yes  No     Never
## 595 25.68956     Yes 198.0  104   57 106  No Yes     Never
## 596 19.11111      No 137.0   95   20 104  No Yes     Never
## 597 17.77778      No 196.0  194   44 171  No Yes     Never
## 598 20.70082      No 141.0   74   50  52  No Yes    Smoker
## 599 25.82645     Yes 293.0  200   34 137 Yes Yes    Smoker
## 600 24.80159      No 192.0  140   36  99  No  No Ex-smoker
## 601 24.97399      No 183.0  124   43 154  No Yes     Never
## 602 21.33333      No 149.0   83   44  51  No Yes     Never
## 603 19.67517      No 286.0  188   62 104 Yes  No     Never
## 604 20.51913      No 182.0  107   37  78  No Yes     Never
## 605 23.56663      No 231.0  192   29 144  No  No    Smoker
## 606 22.83737      No 154.0   76   38 177 Yes Yes Ex-smoker
## 607 22.77319      No 190.0  125   24  91 Yes  No     Never
## 608 24.60938      No 177.0  104   45  78  No  No    Smoker
## 609 29.41176     Yes 134.0   81   31 102 Yes  No Ex-smoker
## 610 32.04588     Yes 195.0  132   47  65 Yes  No Ex-smoker
## 611 29.21841     Yes 173.0  103   40 182  No Yes Ex-smoker
## 612 22.12974      No 206.0   98   72 231  No Yes     Never
## 613 27.65625     Yes 190.0  137   28 110  No Yes Ex-smoker
## 614 26.83865     Yes 165.0   93   30 194  No Yes     Never
## 615 26.22222     Yes 154.0   97   35 109 Yes Yes     Never
## 616 24.24242      No 221.0  137   52  95 Yes Yes Ex-smoker
## 617 28.88889     Yes 261.0  194   51  99 Yes Yes     Never
## 618 15.61570      No 240.0  109   49  54  No Yes    Smoker
## 619 15.61570      No 197.0  122   49  54  No Yes    Smoker
## 620 24.44180      No 144.0   88   37 129  No  No     Never
## 621 24.91349      No 194.0  144   32  55  No Yes    Smoker
## 622 25.45807     Yes 221.0  145   37  92  No  No    Smoker
## 623 23.55556      No 244.0  170   34  51  No Yes Ex-smoker
## 624 24.44728      No 150.0   85   38 148  No Yes    Smoker
## 625 23.80869      No 147.0   78   32 173 Yes  No    Smoker
## 626 26.83865     Yes 271.0  189   53  94  No Yes     Never
## 627 23.33768      No 222.0  158   51  98  No Yes    Smoker
## 629 24.80159      No 273.0  216   29 152  No  No    Smoker
## 630 19.72104      No 184.0  115   45  44  No  No Ex-smoker
## 631 20.40816      No 200.0  137   34 101 Yes  No     Never
## 632 26.31464     Yes 170.0   96   51  91 Yes Yes     Never
## 633 24.44728      No 234.0  156   43 119  No  No     Never
## 634 28.57143     Yes 116.0   50   35 219  No Yes     Never
## 635 21.64127      No 208.0  201   40 406  No  No    Smoker
## 636 24.12175      No 224.0  156   40 141 Yes Yes     Never
## 637 41.22626     Yes 292.0  210   36 332 Yes  No    Smoker
## 638 25.10957     Yes 189.0  118   39 124  No Yes     Never
## 639 19.72104      No 178.0  100   51  73  No  No Ex-smoker
## 640 29.38468     Yes 241.0  157   57  68  No Yes Ex-smoker
## 641 25.78125     Yes 120.0   67   39  72  No  No    Smoker
## 642 28.01022     Yes 119.0   66   34  39  No Yes     Never
## 643 21.48438      No 166.0   82   53  64 Yes Yes     Never
## 644 27.06405     Yes 224.0  189   35  56  No Yes    Smoker
## 645 24.80159      No 174.0  118   37 112  No Yes    Smoker
## 646 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 647 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 648 25.23634     Yes 166.0  111   34  62  No  No     Never
## 649 22.22222      No 164.0  115   38  86  No  No Ex-smoker
## 650 27.34375     Yes 227.0  140   35 221 Yes Yes    Smoker
## 651 19.48696      No 166.0   93   34  34  No  No Ex-smoker
## 652 21.96712      No 215.0  134   32 241  No  No    Smoker
## 653 31.24605     Yes 120.0   55   19 225  No  No     Never
## 654 24.99890      No 263.0  183   42  80  No Yes     Never
## 655 26.56434     Yes 181.0  111   36 179  No  No     Never
## 656 23.43750      No 145.0  115   34  54  No  No    Smoker
## 657 27.11111     Yes 203.0  126   42  50 Yes Yes     Never
## 658 23.49524      No 234.0  198   54  77 Yes Yes     Never
## 659 33.44382     Yes 186.0  114   39  96  No  No    Smoker
## 660 22.59814      No 235.0  183   33  93  No  No     Never
## 661 24.03461      No 124.0   70   30 131 Yes Yes     Never
## 662 19.22338      No 189.0  125   47  40  No Yes     Never
## 663 19.95936      No 136.0   85   38  57  No Yes    Smoker
## 664 22.20633      No 207.0  140   26 105 Yes Yes    Smoker
## 665 21.98989      No 300.0  227   38 136  No  No    Smoker
## 666 21.45357      No 194.0  110   60  48  No  No Ex-smoker
## 667 19.48696      No 128.0   71   31  87  No  No     Never
## 669 24.21875      No 157.0   72   46 247 Yes Yes     Never
## 670 21.84701      No 251.0  122   44 450 Yes Yes    Smoker
## 671 26.29758     Yes 225.0  140   24 283  No  No Ex-smoker
## 672 20.51509      No 212.0  159   40  45  No  No    Smoker
## 673 26.95984     Yes 131.0   81   23 150  No Yes    Smoker
## 674 24.60973      No 158.0  107   33 165  No Yes    Smoker
## 675 23.87511      No 199.0  147   43  41  No  No     Never
## 676 25.63692     Yes 279.0  168   38 283 Yes  No     Never
## 677 24.02381      No 143.0   86   19 232 Yes  No     Never
## 678 18.59012      No 131.0   67   49  67  No  No Ex-smoker
## 679 25.30864     Yes 138.0   46   47  34  No  No Ex-smoker
## 680 19.55556      No 171.0   98   44  82 Yes Yes     Never
## 681 30.04082     Yes 297.0  125   33 584 Yes Yes Ex-smoker
## 682 23.05456      No 229.0  159   51 105 Yes  No    Smoker
## 683 24.15882      No 130.0  150   29 193 Yes Yes Ex-smoker
## 684 26.17188     Yes 170.0  115   40  39  No  No Ex-smoker
## 685 26.17519     Yes 169.0   77   28 377  No  No    Smoker
## 686 22.06035      No 262.0  162   41 261  No Yes    Smoker
## 688 27.58020     Yes 248.0  168   38 310  No Yes    Smoker
## 689 25.39022     Yes 240.0  161   58  74  No  No Ex-smoker
## 690 25.51020     Yes 175.0   96   34 219 Yes  No    Smoker
## 692 23.43750      No 199.0  141   29 161  No Yes     Never
## 693 23.12467      No 231.0   97   29  84  No Yes     Never
## 694 24.15882      No 136.0   78   27 164 Yes  No    Smoker
## 695 21.35991      No 157.0   85   46  75  No  No     Never
## 697 27.39226     Yes 186.0  134   33  96  No Yes Ex-smoker
## 698 25.92593     Yes 267.0  164   31 365 Yes  No    Smoker
## 699 23.18339      No 195.0  118   25 235 Yes  No    Smoker
## 700 17.64706      No 181.0  129   38  33  No Yes    Smoker
## 701 26.07897     Yes 251.0  166   36 246  No Yes Ex-smoker
## 702 18.68512      No 158.0  115   33  59  No  No    Smoker
## 703 27.58621     Yes 231.0  118   42 279  No Yes     Never
## 705 23.28342      No 157.0   90   32 161  No Yes     Never
## 706 28.53746     Yes 167.0   84   34  84  No Yes Ex-smoker
## 707 31.11111     Yes 204.0  139   27 139 Yes Yes     Never
## 708 22.43230      No 222.0  171   36  50  No Yes     Never
## 709 22.85714      No 171.0   94   46 124  No  No     Never
## 710 27.18090     Yes 221.0  157   36 183 Yes  No    Smoker
## 711 20.20202      No 181.0  124   45 143 Yes Yes    Smoker
## 712 23.43750      No 126.0   52   41 156 Yes  No     Never
## 713 23.18339      No 179.0  108   31 237 Yes Yes Ex-smoker
## 715 22.14533      No 204.0  105   28 304  No  No     Never
## 717 25.68956     Yes 108.0   63   31  53 Yes Yes Ex-smoker
## 718 27.85201     Yes 138.0   80   30 141  No  No    Smoker
## 719 26.56250     Yes 220.0  149   45 119 Yes  No     Never
## 720 25.90946     Yes 200.0  134   56 177 Yes Yes     Never
## 721 25.90946     Yes 197.0  130   36 177 Yes  No     Never
## 722 20.76125      No 132.0   75   37  63  No Yes    Smoker
# 2. 부분삭제 : 말이 na삭제지. na아닌것들만 골라내기
acs [ !is.na(acs$weight), ]
##     age    sex cardiogenicShock   entry              Dx   EF height weight
## 1    62   Male               No Femoral           STEMI 18.0  168.0  72.00
## 2    78 Female               No Femoral           STEMI 18.4  148.0  48.00
## 4    89 Female               No Femoral           STEMI 21.8  165.0  50.00
## 5    56   Male               No  Radial          NSTEMI 21.8  162.0  64.00
## 6    73 Female               No  Radial Unstable Angina 22.0  153.0  59.00
## 7    58   Male               No  Radial Unstable Angina 24.7  167.0  78.00
## 8    62   Male               No Femoral           STEMI 26.6  160.0  50.00
## 9    59 Female               No  Radial Unstable Angina 28.5  152.0  67.00
## 10   71   Male               No Femoral           STEMI 31.1  168.0  60.00
## 11   52   Male               No  Radial Unstable Angina 31.1  175.0  60.00
## 12   52 Female               No  Radial Unstable Angina 31.1  156.0  63.00
## 13   66   Male               No Femoral Unstable Angina 31.5  164.0  64.00
## 14   64 Female               No Femoral           STEMI 31.9  150.0  51.00
## 15   62 Female               No Femoral           STEMI 32.0  158.0  49.00
## 17   65   Male               No  Radial Unstable Angina 32.0  152.0  54.00
## 19   63   Male              Yes  Radial           STEMI 33.3  175.0  71.00
## 20   30   Male               No Femoral           STEMI 34.0  148.0  80.00
## 21   60   Male               No  Radial Unstable Angina 34.3  173.0  68.00
## 22   81   Male               No Femoral          NSTEMI 34.4  162.0  51.00
## 23   49   Male               No Femoral Unstable Angina 34.4  165.0  67.00
## 24   72 Female               No Femoral           STEMI 34.5  145.0  50.00
## 25   63   Male              Yes Femoral           STEMI 34.6  170.0  70.00
## 26   72 Female               No Femoral Unstable Angina 34.6  155.0  45.00
## 27   64   Male              Yes  Radial           STEMI 35.0  165.0  63.00
## 28   64   Male               No Femoral           STEMI 35.4  167.0  65.00
## 29   66   Male               No Femoral Unstable Angina 35.4  160.0  60.00
## 30   47   Male              Yes Femoral           STEMI 35.5  179.0  68.00
## 31   46 Female               No Femoral           STEMI 35.6  155.0  48.00
## 32   55   Male              Yes Femoral          NSTEMI 35.7  165.0  63.00
## 33   73   Male               No  Radial          NSTEMI 35.9  160.0  70.00
## 34   59   Male               No  Radial          NSTEMI 36.5  175.0  62.00
## 35   79 Female               No  Radial Unstable Angina 36.5  140.0  50.00
## 36   80   Male               No  Radial           STEMI 36.6  162.0  54.00
## 37   76 Female               No  Radial          NSTEMI 36.8  153.0  50.00
## 38   73   Male               No Femoral          NSTEMI 37.0  162.0  53.00
## 39   61 Female               No Femoral Unstable Angina 37.0  156.0  44.00
## 40   58   Male              Yes  Radial           STEMI 37.3  168.0  74.00
## 41   58   Male               No Femoral           STEMI 37.5  165.0  85.00
## 42   72 Female               No  Radial          NSTEMI 37.5  150.0  70.00
## 43   57   Male               No Femoral          NSTEMI 37.9  168.0  70.00
## 44   66   Male               No  Radial Unstable Angina 38.0  165.0  69.00
## 45   71   Male               No  Radial Unstable Angina 38.0  170.0  69.00
## 46   65 Female               No Femoral           STEMI 38.4  162.0  67.00
## 47   53   Male               No  Radial Unstable Angina 38.4  163.0  68.00
## 48   61 Female               No Femoral          NSTEMI 38.5  148.0  64.00
## 49   77   Male               No  Radial           STEMI 38.8  160.0  54.00
## 50   82   Male               No Femoral           STEMI 39.0  164.0  50.00
## 51   65   Male              Yes  Radial           STEMI 39.0  163.0  58.00
## 52   61   Male               No Femoral           STEMI 39.4  168.0  56.00
## 53   39   Male               No  Radial           STEMI 40.0  169.0  93.00
## 54   49   Male               No  Radial           STEMI 40.0  178.0  80.00
## 55   67   Male               No Femoral          NSTEMI 40.0  165.0  62.00
## 56   76   Male               No  Radial           STEMI 40.2  165.0  75.00
## 57   79 Female               No  Radial          NSTEMI 40.2  155.0  60.00
## 58   63   Male               No  Radial Unstable Angina 40.2  168.0  62.00
## 59   74 Female              Yes Femoral           STEMI 40.4  150.0  55.00
## 60   67   Male               No Femoral           STEMI 40.5  165.0  75.00
## 61   57   Male               No Femoral           STEMI 40.6  167.0  58.00
## 62   59   Male               No  Radial           STEMI 40.9  172.0  65.00
## 63   76   Male               No  Radial           STEMI 41.0  158.0  67.00
## 64   55   Male               No  Radial           STEMI 41.3  170.0  75.00
## 65   80 Female               No Femoral           STEMI 41.5  157.0  48.00
## 66   88 Female               No  Radial          NSTEMI 41.7  155.0  53.00
## 67   75 Female               No Femoral           STEMI 41.8  160.0  70.00
## 68   72   Male               No  Radial           STEMI 42.0  168.0  64.00
## 69   52   Male               No Femoral Unstable Angina 42.0  170.0  78.00
## 70   49   Male               No  Radial           STEMI 42.1  167.0  69.00
## 71   78   Male               No Femoral          NSTEMI 42.1  158.0  50.00
## 72   61 Female               No Femoral Unstable Angina 42.1  148.0  62.00
## 73   67 Female               No  Radial          NSTEMI 42.2  153.0  43.00
## 74   54   Male               No  Radial          NSTEMI 42.4  168.0  63.00
## 75   76 Female               No  Radial          NSTEMI 42.5  163.0  55.00
## 76   52   Male               No  Radial           STEMI 42.5  160.0  55.00
## 77   65   Male               No Femoral           STEMI 42.6  168.0  59.00
## 78   64   Male               No  Radial           STEMI 42.7  164.0  65.00
## 79   85   Male               No Femoral          NSTEMI 42.7  165.0  60.00
## 80   75 Female               No  Radial           STEMI 42.8  156.0  46.00
## 81   78 Female               No  Radial           STEMI 42.9  158.0  57.00
## 82   81   Male               No Femoral Unstable Angina 43.0  166.0  59.00
## 83   74 Female               No  Radial Unstable Angina 43.0  150.0  51.00
## 84   58   Male              Yes Femoral           STEMI 43.2  178.0  80.00
## 85   63 Female               No Femoral           STEMI 43.2  149.0  40.00
## 86   72 Female               No Femoral Unstable Angina 43.2  160.0  62.00
## 87   77   Male               No  Radial           STEMI 43.3  163.0  60.00
## 88   77   Male               No  Radial          NSTEMI 44.0  168.0  65.00
## 90   53   Male               No  Radial           STEMI 44.0  168.0  75.00
## 91   63 Female               No  Radial           STEMI 44.0  150.0  55.00
## 92   54   Male               No  Radial           STEMI 44.1  176.0  78.00
## 93   79 Female               No  Radial          NSTEMI 44.1  160.0  65.00
## 94   50   Male               No  Radial           STEMI 44.2  175.0  70.00
## 95   75   Male               No  Radial          NSTEMI 44.3  168.0  60.00
## 96   57   Male               No  Radial           STEMI 44.5  177.0  72.00
## 97   69   Male               No Femoral          NSTEMI 44.6  163.0  56.00
## 98   55   Male               No  Radial Unstable Angina 44.8  162.0  58.00
## 99   79   Male               No Femoral          NSTEMI 44.9  172.0  60.00
## 100  70   Male               No Femoral           STEMI 45.0  165.0  60.00
## 101  73   Male               No Femoral           STEMI 45.0  168.0  47.00
## 103  82 Female               No  Radial Unstable Angina 45.0  150.0  55.00
## 104  44   Male               No Femoral Unstable Angina 45.1  180.0  80.00
## 105  61   Male               No Femoral           STEMI 45.3  162.0  58.00
## 106  80 Female               No Femoral           STEMI 45.4  150.0  65.00
## 107  70 Female               No  Radial           STEMI 45.4  160.0  60.00
## 109  65   Male               No  Radial           STEMI 45.6  167.0  62.00
## 110  68   Male               No Femoral          NSTEMI 45.6  177.0  79.00
## 111  70   Male               No  Radial          NSTEMI 45.7  151.0  50.00
## 112  65   Male               No  Radial Unstable Angina 45.8  162.0  65.00
## 113  51   Male               No  Radial Unstable Angina 45.9  165.0  59.00
## 114  66   Male              Yes Femoral           STEMI 46.0  168.0  58.00
## 115  53   Male               No  Radial          NSTEMI 46.0  170.0  72.00
## 116  56   Male               No  Radial           STEMI 46.1  167.0  74.00
## 118  78 Female               No Femoral          NSTEMI 46.4  157.0  60.00
## 119  49   Male               No  Radial          NSTEMI 46.5  162.0  66.00
## 120  84 Female               No  Radial Unstable Angina 46.6  160.0  60.00
## 121  81   Male               No Femoral          NSTEMI 46.8  165.0  65.00
## 122  53   Male               No Femoral          NSTEMI 46.9  165.0  71.00
## 123  77   Male               No  Radial           STEMI 47.0  155.0  60.00
## 124  81   Male               No  Radial           STEMI 47.0  166.0  68.00
## 125  69   Male               No  Radial           STEMI 47.0  175.0  60.00
## 126  48 Female              Yes Femoral           STEMI 47.0  160.0  60.00
## 127  76   Male               No  Radial Unstable Angina 47.0  163.0  62.00
## 128  41   Male               No  Radial           STEMI 47.1  170.0  73.00
## 129  68   Male               No  Radial           STEMI 47.2  170.0  60.00
## 130  55   Male               No  Radial           STEMI 47.2  163.0  56.00
## 131  80 Female               No  Radial          NSTEMI 47.3  156.5  67.20
## 132  81   Male               No  Radial Unstable Angina 47.3  150.0  50.00
## 133  80 Female               No  Radial           STEMI 47.3  156.0  67.20
## 134  61   Male               No  Radial           STEMI 47.4  179.0  76.00
## 135  66   Male               No Femoral          NSTEMI 47.6  158.0  50.00
## 137  64   Male               No Femoral           STEMI 47.8  174.0  70.00
## 138  62   Male               No  Radial           STEMI 48.0  167.0  85.00
## 139  72 Female               No Femoral           STEMI 48.1  163.0  55.00
## 140  72 Female               No Femoral           STEMI 48.1  160.0  58.00
## 141  74 Female               No Femoral          NSTEMI 48.1  155.0  56.00
## 142  53 Female               No  Radial          NSTEMI 48.1  160.0  63.00
## 143  51   Male               No  Radial           STEMI 48.2  178.0  70.00
## 144  47   Male               No  Radial           STEMI 48.2  175.0  80.00
## 145  69 Female               No  Radial          NSTEMI 48.2  155.0  55.00
## 146  48   Male               No  Radial           STEMI 48.3  170.0  68.00
## 147  58   Male               No  Radial          NSTEMI 48.3  168.0  76.00
## 148  74   Male               No Femoral          NSTEMI 48.6  169.0  72.00
## 149  75   Male               No  Radial          NSTEMI 48.6  160.0  58.00
## 150  58   Male               No  Radial           STEMI 48.7  168.0  60.00
## 151  64   Male               No Femoral           STEMI 48.8  162.0  72.00
## 152  70   Male               No  Radial           STEMI 48.8  176.0  77.00
## 153  69 Female               No  Radial           STEMI 48.9  153.0  63.00
## 154  61   Male               No  Radial           STEMI 48.9  167.0  60.00
## 155  38   Male               No  Radial Unstable Angina 48.9  166.0  95.00
## 156  44   Male               No  Radial           STEMI 49.0  179.0  93.00
## 157  57   Male               No Femoral           STEMI 49.0  163.0  63.00
## 158  56   Male               No  Radial           STEMI 49.0  170.0  68.00
## 159  80   Male               No  Radial          NSTEMI 49.0  170.0  62.00
## 160  85 Female               No  Radial Unstable Angina 49.1  149.0  51.00
## 161  56 Female               No Femoral          NSTEMI 49.1  155.0  58.00
## 162  79   Male               No  Radial Unstable Angina 49.1  168.0  70.00
## 163  84 Female               No  Radial          NSTEMI 49.2  155.0  53.00
## 164  55   Male               No Femoral           STEMI 49.3  168.0  48.00
## 165  55   Male              Yes Femoral           STEMI 49.3  168.0  48.00
## 166  54   Male               No  Radial           STEMI 49.5  170.0  78.00
## 167  78 Female               No Femoral           STEMI 49.5  150.0  42.00
## 168  82 Female               No Femoral           STEMI 49.7  150.0  42.00
## 169  66   Male               No Femoral           STEMI 49.7  180.0  67.00
## 170  71   Male               No Femoral          NSTEMI 49.9  155.0  66.00
## 171  52   Male               No  Radial           STEMI 50.0  173.0  70.00
## 172  57   Male               No Femoral          NSTEMI 50.0  175.0  84.00
## 173  82   Male               No Femoral          NSTEMI 50.0  165.0  61.00
## 174  76   Male               No Femoral Unstable Angina 50.0  160.0  56.00
## 175  49   Male               No Femoral           STEMI 50.1  164.0  65.00
## 176  62 Female               No  Radial          NSTEMI 50.1  150.0  46.00
## 177  57   Male               No  Radial           STEMI 50.3  165.0  68.00
## 178  57   Male               No  Radial          NSTEMI 50.3  174.0  67.00
## 179  81 Female               No  Radial           STEMI 50.4  164.0  50.00
## 180  53   Male               No  Radial           STEMI 50.4  176.0  74.00
## 181  72   Male              Yes Femoral           STEMI 50.5  173.0  74.00
## 182  78   Male               No  Radial Unstable Angina 50.5  170.0  60.00
## 183  53   Male               No  Radial Unstable Angina 50.6  157.0  80.00
## 184  63 Female               No  Radial           STEMI 50.8  151.0  52.00
## 185  74 Female              Yes  Radial           STEMI 51.0  149.0  50.00
## 186  54   Male               No  Radial           STEMI 51.0  163.0  72.00
## 187  81 Female               No  Radial           STEMI 51.2  150.0  45.00
## 188  63 Female               No Femoral           STEMI 51.3  156.0  61.00
## 189  81 Female               No  Radial Unstable Angina 51.3  145.0  45.00
## 190  67   Male               No Femoral           STEMI 51.5  175.0  73.00
## 191  69 Female               No Femoral           STEMI 51.5  158.0  55.00
## 192  58   Male               No Femoral           STEMI 51.6  170.0  60.00
## 193  70 Female               No Femoral Unstable Angina 51.6  150.0  45.00
## 194  56   Male               No Femoral           STEMI 51.7  172.0  80.00
## 195  63   Male               No Femoral           STEMI 51.7  165.0  60.00
## 196  54 Female               No  Radial          NSTEMI 51.7  154.0  66.00
## 197  77   Male               No  Radial Unstable Angina 51.9  165.0  60.00
## 198  55   Male               No  Radial           STEMI 52.0  164.0  60.00
## 199  48   Male               No  Radial           STEMI 52.0  165.0  75.00
## 200  62   Male               No  Radial           STEMI 52.0  170.0  62.00
## 201  65   Male              Yes  Radial           STEMI 52.0  160.0  65.00
## 202  77   Male               No Femoral           STEMI 52.0  172.0  53.00
## 203  54   Male               No  Radial           STEMI 52.0  175.0  80.00
## 204  38   Male               No  Radial           STEMI 52.1  174.0  90.00
## 205  70 Female               No  Radial Unstable Angina 52.2  141.0  63.00
## 206  49   Male               No  Radial           STEMI 52.4  177.0  86.00
## 207  69 Female               No  Radial Unstable Angina 52.4  155.0  60.00
## 208  67   Male               No  Radial Unstable Angina 52.4  160.0  50.00
## 209  36   Male               No Femoral           STEMI 52.5  184.0  76.00
## 210  70   Male              Yes  Radial           STEMI 52.6  165.0  60.00
## 211  62   Male               No  Radial           STEMI 52.6  161.0  58.00
## 212  56   Male               No  Radial           STEMI 52.8  165.0  73.00
## 213  51   Male               No Femoral           STEMI 52.8  176.0  72.00
## 214  64 Female               No Femoral          NSTEMI 52.9  155.0  58.00
## 215  75   Male               No  Radial           STEMI 53.0  170.0  55.00
## 216  41   Male               No  Radial Unstable Angina 53.0  171.0  86.00
## 217  53   Male               No  Radial           STEMI 53.0  165.0  70.00
## 218  78 Female               No Femoral           STEMI 53.0  160.0  70.00
## 219  51 Female               No  Radial Unstable Angina 53.0  160.0  63.00
## 221  66   Male               No Femoral Unstable Angina 53.2  164.0  54.00
## 222  68   Male               No Femoral           STEMI 53.5  160.0  59.00
## 223  61   Male               No Femoral           STEMI 53.6  158.0  65.00
## 224  59   Male               No  Radial          NSTEMI 53.6  165.0  68.00
## 225  77 Female               No  Radial          NSTEMI 53.7  155.0  55.00
## 226  49 Female               No  Radial           STEMI 53.8  156.0  46.00
## 227  57   Male               No Femoral Unstable Angina 53.8  169.0  55.00
## 228  52   Male               No  Radial           STEMI 54.0  165.0  70.00
## 229  77 Female               No Femoral           STEMI 54.0  160.0  58.00
## 230  56   Male               No  Radial           STEMI 54.0  169.0  70.00
## 231  46 Female               No  Radial           STEMI 54.0  158.0  57.00
## 232  71 Female               No Femoral Unstable Angina 54.0  140.0  47.00
## 233  62 Female               No Femoral Unstable Angina 54.0  161.0  66.00
## 234  41   Male               No  Radial           STEMI 54.2  178.0  72.00
## 235  69 Female               No  Radial          NSTEMI 54.2  155.0  45.00
## 236  56   Male               No  Radial          NSTEMI 54.2  170.0  71.00
## 237  70 Female               No  Radial Unstable Angina 54.3  155.0  60.00
## 238  67 Female               No  Radial           STEMI 54.5  155.0  66.00
## 239  70 Female               No  Radial Unstable Angina 54.6  145.0  45.00
## 240  78   Male               No Femoral Unstable Angina 54.6  175.0  74.00
## 241  87   Male               No  Radial Unstable Angina 54.7  165.0  62.00
## 242  81 Female               No  Radial           STEMI 54.8  160.0  58.00
## 244  56   Male               No  Radial          NSTEMI 54.8  170.0  76.00
## 245  78 Female               No Femoral Unstable Angina 54.8  151.0  60.00
## 246  47   Male               No Femoral           STEMI 54.9  178.0  68.00
## 247  60   Male               No  Radial           STEMI 54.9  183.0  83.00
## 248  69   Male               No Femoral Unstable Angina 54.9  164.0  87.00
## 249  61   Male               No  Radial           STEMI 55.0  160.0  65.00
## 250  52   Male               No  Radial           STEMI 55.0  177.0  85.00
## 251  61   Male               No Femoral           STEMI 55.0  170.0  74.00
## 252  58   Male               No Femoral           STEMI 55.0  168.0  61.00
## 253  51   Male               No Femoral          NSTEMI 55.0  160.0  81.00
## 254  58   Male               No  Radial          NSTEMI 55.0  174.0  74.00
## 255  35   Male               No  Radial Unstable Angina 55.0  170.0  87.00
## 256  71   Male               No  Radial           STEMI 55.1  166.0  60.00
## 257  46   Male               No  Radial          NSTEMI 55.1  165.0  63.00
## 258  40   Male               No Femoral Unstable Angina 55.1  175.0  80.00
## 259  57   Male               No  Radial Unstable Angina 55.1  160.0  70.00
## 260  70   Male               No  Radial Unstable Angina 55.1  169.0  78.00
## 261  71   Male               No  Radial           STEMI 55.2  165.0  50.00
## 262  45 Female               No Femoral Unstable Angina 55.2  150.0  45.00
## 263  43   Male               No  Radial          NSTEMI 55.3  180.0  78.00
## 264  41   Male               No Femoral           STEMI 55.4  170.0  69.00
## 265  57   Male               No  Radial Unstable Angina 55.4  153.0  53.00
## 266  74   Male               No Femoral Unstable Angina 55.4  165.0  68.00
## 267  60   Male               No  Radial           STEMI 55.5  172.0  85.00
## 268  57   Male               No Femoral          NSTEMI 55.5  169.0  68.00
## 269  51   Male               No Femoral          NSTEMI 55.5  178.0  85.00
## 270  37   Male               No Femoral           STEMI 55.6  174.0  75.00
## 271  90 Female               No  Radial Unstable Angina 55.6  141.0  52.00
## 272  76   Male              Yes Femoral           STEMI 55.7  172.0  82.00
## 273  58   Male              Yes  Radial           STEMI 55.7  162.0  60.00
## 274  69 Female               No Femoral           STEMI 55.7  150.0  65.00
## 275  70 Female               No  Radial           STEMI 55.7  160.0  58.00
## 276  50   Male               No Femoral          NSTEMI 55.7  170.0  72.00
## 277  74   Male               No  Radial          NSTEMI 55.8  168.0  73.00
## 278  73   Male               No  Radial Unstable Angina 55.8  175.0  84.00
## 280  60   Male               No  Radial           STEMI 55.9  160.0  50.00
## 281  60   Male               No  Radial           STEMI 55.9  173.0  67.00
## 282  85 Female               No  Radial           STEMI 55.9  154.0  55.00
## 284  72   Male               No  Radial Unstable Angina 56.0  178.0  70.00
## 285  70   Male               No  Radial           STEMI 56.0  165.0  74.00
## 286  49   Male               No  Radial Unstable Angina 56.0  177.0  82.00
## 287  70   Male               No  Radial Unstable Angina 56.0  166.0  67.00
## 288  49   Male               No  Radial Unstable Angina 56.0  177.0  82.00
## 289  53   Male               No  Radial Unstable Angina 56.0  174.0  67.00
## 290  74 Female               No Femoral Unstable Angina 56.0  150.0  57.00
## 291  49   Male               No Femoral          NSTEMI 56.0  172.0  74.00
## 292  43   Male               No  Radial           STEMI 56.1  183.0  81.00
## 293  43   Male               No Femoral           STEMI 56.1  173.0  93.00
## 294  68   Male               No  Radial Unstable Angina 56.1  162.5  53.30
## 295  68   Male               No  Radial Unstable Angina 56.1  162.5  53.30
## 296  78   Male               No Femoral          NSTEMI 56.1  160.0  70.00
## 297  35   Male               No  Radial           STEMI 56.2  171.0  70.00
## 298  52   Male               No Femoral Unstable Angina 56.2  170.0  62.00
## 299  58   Male               No Femoral Unstable Angina 56.2  165.0  78.00
## 300  67   Male               No  Radial Unstable Angina 56.2  170.0  62.00
## 301  76 Female               No Femoral Unstable Angina 56.2  143.0  48.00
## 302  56   Male               No  Radial          NSTEMI 56.3  163.0  62.00
## 303  55   Male               No  Radial           STEMI 56.3  178.0  81.00
## 304  72   Male               No  Radial           STEMI 56.3  165.0  64.00
## 305  46   Male               No  Radial          NSTEMI 56.3  169.0  55.00
## 306  78 Female               No  Radial          NSTEMI 56.4  149.0  50.00
## 307  58   Male               No Femoral           STEMI 56.4  160.0  67.00
## 308  58   Male               No Femoral Unstable Angina 56.4  174.0  70.00
## 309  62   Male               No  Radial Unstable Angina 56.4  160.0  60.00
## 310  83 Female               No Femoral           STEMI 56.5  160.0  65.00
## 311  62   Male               No  Radial           STEMI 56.5  165.0  75.00
## 312  65 Female               No  Radial           STEMI 56.5  158.0  59.00
## 313  50   Male               No  Radial Unstable Angina 56.5  174.0  78.00
## 314  61   Male               No  Radial Unstable Angina 56.5  130.0  70.00
## 315  86 Female               No  Radial Unstable Angina 56.5  155.0  58.00
## 316  52   Male               No  Radial Unstable Angina 56.5  168.0  79.00
## 317  65   Male               No  Radial Unstable Angina 56.5  169.0  63.00
## 318  68   Male               No  Radial Unstable Angina 56.5  164.0  63.00
## 319  46   Male               No  Radial Unstable Angina 56.6  165.0  71.00
## 320  61   Male               No Femoral           STEMI 56.6  158.0  50.00
## 321  57   Male               No Femoral           STEMI 56.7  170.0  89.00
## 322  40   Male               No  Radial           STEMI 56.7  173.0  76.00
## 323  69 Female               No Femoral          NSTEMI 56.7  158.0  80.00
## 324  71 Female               No  Radial           STEMI 56.8  144.0  45.00
## 325  63   Male               No  Radial Unstable Angina 56.8  175.0  81.00
## 326  52   Male               No Femoral           STEMI 56.9  175.0  83.00
## 327  41   Male               No  Radial Unstable Angina 56.9  178.0  87.00
## 328  55   Male               No Femoral           STEMI 57.0  175.0  68.00
## 330  77   Male               No Femoral Unstable Angina 57.1  168.0  63.00
## 331  67 Female               No  Radial Unstable Angina 57.2  168.0  52.00
## 332  65   Male               No Femoral Unstable Angina 57.2  160.0  63.00
## 333  73   Male               No  Radial Unstable Angina 57.2  160.0  59.00
## 334  72   Male               No Femoral Unstable Angina 57.3  161.0  63.00
## 335  61   Male               No Femoral Unstable Angina 57.3  169.0  61.00
## 336  70 Female               No Femoral Unstable Angina 57.3  145.0  45.00
## 337  59   Male               No  Radial Unstable Angina 57.3  159.0  57.00
## 338  59   Male               No  Radial Unstable Angina 57.3  160.0  70.00
## 339  47   Male               No  Radial           STEMI 57.4  170.0  70.00
## 340  64   Male               No  Radial           STEMI 57.4  168.0  57.00
## 341  44   Male               No Femoral           STEMI 57.4  180.0  97.00
## 342  53 Female               No  Radial Unstable Angina 57.4  151.0  58.00
## 343  69   Male               No Femoral Unstable Angina 57.6  159.0  66.00
## 344  58   Male               No Femoral Unstable Angina 57.6  162.0  73.00
## 345  64 Female               No  Radial Unstable Angina 57.7  165.0  74.00
## 346  77 Female               No Femoral Unstable Angina 57.8  158.0  60.00
## 347  48   Male               No  Radial Unstable Angina 57.9  171.0  77.00
## 348  62   Male               No  Radial           STEMI 57.9  168.0  73.00
## 349  66   Male               No  Radial           STEMI 58.0  175.0  82.00
## 351  69   Male               No Femoral           STEMI 58.0  163.0  65.00
## 352  68   Male               No  Radial           STEMI 58.0  165.0  63.00
## 353  41   Male               No  Radial Unstable Angina 58.0  169.0  70.00
## 354  68 Female               No Femoral          NSTEMI 58.0  155.0  51.00
## 355  75   Male               No  Radial          NSTEMI 58.0  177.0  73.00
## 356  73   Male               No  Radial          NSTEMI 58.0  165.0  60.00
## 357  56   Male               No  Radial           STEMI 58.1  168.0  65.00
## 358  46   Male              Yes Femoral           STEMI 58.1  170.0  76.00
## 359  55   Male               No  Radial           STEMI 58.1  163.0  68.00
## 360  61   Male               No Femoral           STEMI 58.1  168.0  74.00
## 361  68 Female               No  Radial Unstable Angina 58.1  158.0  60.00
## 362  55   Male               No Femoral Unstable Angina 58.1  170.0  70.00
## 363  57 Female               No Femoral           STEMI 58.2  164.0  68.00
## 364  50   Male               No  Radial Unstable Angina 58.2  165.0  78.00
## 365  69   Male               No  Radial Unstable Angina 58.2  173.0  74.00
## 366  44   Male               No  Radial           STEMI 58.3  175.0  90.00
## 367  38   Male               No  Radial           STEMI 58.3  173.0  95.00
## 368  83   Male               No  Radial           STEMI 58.3  165.0  67.00
## 369  70   Male               No  Radial           STEMI 58.3  168.0  70.00
## 370  76 Female               No Femoral           STEMI 58.4  145.0  56.00
## 371  53 Female               No  Radial Unstable Angina 58.4  165.0  75.00
## 372  37   Male               No  Radial          NSTEMI 58.4  163.0  66.00
## 373  49   Male               No  Radial          NSTEMI 58.4  158.0  56.00
## 374  57   Male               No  Radial           STEMI 58.5  170.0  75.00
## 375  51   Male               No  Radial          NSTEMI 58.5  169.0  68.00
## 376  64   Male               No  Radial           STEMI 58.6  157.0  64.00
## 377  53   Male               No  Radial           STEMI 58.6  168.0  62.00
## 378  77   Male               No Femoral Unstable Angina 58.6  160.0  59.00
## 379  46 Female               No Femoral          NSTEMI 58.6  155.0  55.00
## 380  65 Female               No  Radial           STEMI 58.7  160.0  67.00
## 381  65 Female               No  Radial           STEMI 58.7  160.0  67.00
## 382  77 Female               No Femoral           STEMI 58.7  150.0  50.00
## 384  67 Female               No  Radial Unstable Angina 58.7  150.0  50.00
## 385  37   Male               No  Radial           STEMI 58.8  170.0 106.00
## 386  73   Male               No  Radial           STEMI 58.8  160.0  45.00
## 387  51   Male               No  Radial          NSTEMI 58.8  175.0  69.00
## 388  61   Male               No  Radial          NSTEMI 58.8  164.0  78.00
## 389  71   Male               No Femoral          NSTEMI 58.8  168.0  70.00
## 390  81 Female               No  Radial           STEMI 58.9  148.0  45.00
## 391  58   Male               No Femoral           STEMI 58.9  170.0  65.00
## 392  71   Male               No  Radial Unstable Angina 58.9  172.0  80.00
## 394  64 Female               No  Radial           STEMI 59.0  165.0  71.00
## 395  59 Female               No  Radial           STEMI 59.0  158.0  60.00
## 396  51   Male               No Femoral           STEMI 59.0  170.0  60.00
## 397  86   Male               No Femoral           STEMI 59.0  165.0  55.00
## 398  60   Male               No  Radial Unstable Angina 59.0  163.0  62.00
## 399  60 Female               No Femoral Unstable Angina 59.0  151.0  66.00
## 400  71 Female               No Femoral Unstable Angina 59.0  154.0  52.00
## 401  56   Male               No  Radial Unstable Angina 59.0  160.0  62.00
## 402  42   Male               No  Radial          NSTEMI 59.1  172.0  73.00
## 403  68   Male               No Femoral Unstable Angina 59.1  177.0  78.00
## 404  46 Female               No  Radial Unstable Angina 59.1  150.0  60.00
## 406  72   Male               No Femoral Unstable Angina 59.1  170.0  56.00
## 407  66   Male               No Femoral           STEMI 59.2  170.0  65.00
## 408  81   Male               No  Radial Unstable Angina 59.2  167.0  50.00
## 409  60 Female               No Femoral Unstable Angina 59.2  159.0  85.00
## 410  52   Male               No  Radial           STEMI 59.3  163.0  70.00
## 411  75 Female               No  Radial Unstable Angina 59.3  155.0  55.00
## 412  48 Female               No  Radial          NSTEMI 59.3  158.0  53.00
## 413  44   Male               No  Radial Unstable Angina 59.3  176.0  82.00
## 414  78 Female               No  Radial Unstable Angina 59.3  155.0  57.00
## 415  79   Male               No Femoral           STEMI 59.4  168.0  60.00
## 416  58   Male               No  Radial Unstable Angina 59.4  160.0  69.00
## 417  60   Male               No  Radial Unstable Angina 59.4  174.0  80.00
## 418  64   Male               No  Radial          NSTEMI 59.4  167.0  62.00
## 419  57   Male               No  Radial          NSTEMI 59.4  168.0  73.00
## 420  60   Male               No  Radial          NSTEMI 59.4  167.0  66.00
## 421  72   Male               No  Radial Unstable Angina 59.5  165.0  78.00
## 422  57   Male               No Femoral Unstable Angina 59.5  169.0  75.00
## 423  79 Female               No Femoral Unstable Angina 59.5  150.0  55.00
## 424  59   Male               No  Radial Unstable Angina 59.5  174.0  78.00
## 425  65   Male               No  Radial Unstable Angina 59.5  167.0  74.00
## 426  61   Male               No  Radial Unstable Angina 59.5  167.0  68.00
## 427  75 Female               No  Radial Unstable Angina 59.5  152.0  61.00
## 428  55   Male               No  Radial          NSTEMI 59.6  165.0  52.00
## 429  50   Male               No Femoral Unstable Angina 59.6  160.0  67.00
## 430  45   Male               No Femoral Unstable Angina 59.6  173.0  72.00
## 431  81 Female               No  Radial Unstable Angina 59.6  150.0  49.00
## 432  52   Male               No  Radial Unstable Angina 59.6  163.0  65.00
## 433  55   Male               No  Radial          NSTEMI 59.7  166.0  65.00
## 434  59   Male               No Femoral Unstable Angina 59.7  161.0  68.00
## 435  54 Female               No  Radial Unstable Angina 59.7  154.0  65.00
## 436  72   Male               No  Radial Unstable Angina 59.7  162.0  64.00
## 437  56   Male               No  Radial           STEMI 59.8  170.0  80.00
## 438  65 Female               No Femoral           STEMI 59.8  145.0  45.00
## 440  49   Male               No  Radial Unstable Angina 59.8  180.0  97.00
## 441  51   Male               No Femoral          NSTEMI 59.8  172.0  70.00
## 442  48   Male              Yes Femoral           STEMI 59.9  173.0  67.00
## 443  56 Female               No  Radial Unstable Angina 59.9  159.0  65.00
## 444  65   Male               No Femoral Unstable Angina 59.9  168.0  65.00
## 445  68   Male               No  Radial           STEMI 60.0  175.0  75.00
## 446  73 Female               No Femoral           STEMI 60.0  150.0  44.00
## 447  68 Female               No  Radial           STEMI 60.0  158.0  76.00
## 448  64   Male              Yes  Radial           STEMI 60.0  165.0  63.00
## 449  71 Female               No  Radial Unstable Angina 60.0  145.0  50.00
## 450  53   Male               No Femoral Unstable Angina 60.0  173.0  71.00
## 451  74 Female               No  Radial Unstable Angina 60.0  140.0  45.00
## 452  58   Male               No  Radial          NSTEMI 60.0  170.0  75.00
## 453  55   Male               No  Radial Unstable Angina 60.0  167.0  62.00
## 455  48   Male               No Femoral           STEMI 60.1  164.0  72.00
## 456  75   Male               No  Radial Unstable Angina 60.1  163.0  50.00
## 457  28   Male               No  Radial          NSTEMI 60.1  168.0  52.00
## 458  62 Female               No  Radial Unstable Angina 60.1  155.0  60.00
## 459  62   Male               No Femoral           STEMI 60.2  160.0  50.00
## 460  79 Female              Yes  Radial           STEMI 60.2  155.0  60.00
## 461  53   Male               No  Radial Unstable Angina 60.2  162.0  68.00
## 462  67   Male               No  Radial Unstable Angina 60.2  163.0  60.00
## 463  68   Male               No  Radial Unstable Angina 60.2  173.0  75.00
## 464  70 Female               No  Radial Unstable Angina 60.2  152.0  56.00
## 465  54   Male               No  Radial Unstable Angina 60.2  162.0  67.00
## 466  76 Female               No  Radial Unstable Angina 60.4  155.0  55.00
## 467  47   Male               No  Radial          NSTEMI 60.4  175.0  76.00
## 468  56   Male               No  Radial          NSTEMI 60.5  172.0  61.00
## 469  70   Male               No Femoral Unstable Angina 60.5  168.0  65.00
## 470  68 Female               No  Radial           STEMI 60.6  164.0  75.00
## 471  79 Female               No  Radial Unstable Angina 60.6  148.0  40.00
## 472  47   Male               No Femoral          NSTEMI 60.6  170.0  78.00
## 473  62   Male              Yes Femoral           STEMI 60.7  171.0  48.00
## 474  66   Male               No  Radial Unstable Angina 60.7  169.0  63.00
## 475  48   Male               No  Radial Unstable Angina 60.7  171.0  62.00
## 476  73   Male               No  Radial Unstable Angina 60.8  170.0  70.00
## 477  81   Male              Yes  Radial           STEMI 61.0  170.0  77.00
## 478  77   Male               No  Radial           STEMI 61.0  167.0  66.00
## 479  73 Female               No Femoral           STEMI 61.0  160.0  60.00
## 480  49 Female               No Femoral           STEMI 61.0  157.0  55.00
## 481  68   Male               No Femoral           STEMI 61.0  170.0  75.00
## 482  36   Male               No Femoral           STEMI 61.0  178.0  68.00
## 483  65 Female               No  Radial Unstable Angina 61.0  164.0  62.00
## 484  75   Male               No  Radial Unstable Angina 61.0  165.0  72.00
## 485  50   Male               No  Radial Unstable Angina 61.0  170.0  60.00
## 486  75   Male               No  Radial Unstable Angina 61.0  165.0  72.00
## 487  73 Female               No Femoral Unstable Angina 61.0  152.0  57.00
## 488  85 Female               No  Radial Unstable Angina 61.0  153.0  65.00
## 490  43 Female               No  Radial Unstable Angina 61.0  164.0  56.00
## 491  57   Male               No  Radial Unstable Angina 61.0  168.0  72.00
## 492  55   Male               No  Radial Unstable Angina 61.0  168.0  82.00
## 493  81   Male               No  Radial           STEMI 61.0  170.0  77.00
## 494  55   Male               No Femoral           STEMI 61.1  176.0  90.00
## 495  59   Male               No  Radial Unstable Angina 61.2  175.0  78.00
## 496  79 Female               No  Radial Unstable Angina 61.2  140.0  45.00
## 497  58   Male               No  Radial Unstable Angina 61.2  166.0  63.00
## 498  63 Female               No Femoral          NSTEMI 61.3  153.0  90.00
## 499  58   Male              Yes  Radial           STEMI 61.3  161.0  66.00
## 500  63 Female              Yes Femoral           STEMI 61.3  159.0  63.00
## 501  52   Male               No  Radial           STEMI 61.3  163.0  64.00
## 502  64 Female               No  Radial Unstable Angina 61.3  155.0  46.00
## 503  62   Male               No  Radial          NSTEMI 61.3  165.0  72.00
## 504  67   Male               No  Radial           STEMI 61.4  163.0  66.00
## 505  65   Male               No  Radial          NSTEMI 61.4  173.0  67.00
## 506  51   Male               No Femoral Unstable Angina 61.4  173.0  79.00
## 507  48 Female               No  Radial           STEMI 61.5  165.0  58.00
## 508  42 Female               No Femoral          NSTEMI 61.5  160.0  73.00
## 510  78   Male               No Femoral          NSTEMI 61.5  178.0  73.00
## 511  75   Male               No  Radial           STEMI 61.6  162.0  45.00
## 512  61 Female               No  Radial           STEMI 61.6  155.0  75.00
## 513  45   Male               No  Radial           STEMI 61.6  166.0  70.00
## 514  55 Female               No Femoral          NSTEMI 61.6  153.0  62.00
## 515  42   Male               No  Radial          NSTEMI 61.6  163.0  71.00
## 516  82 Female               No Femoral          NSTEMI 61.7  150.0  50.00
## 517  53   Male               No  Radial          NSTEMI 61.7  164.0  70.00
## 518  49 Female               No  Radial Unstable Angina 61.7  162.0  67.00
## 519  75 Female               No  Radial           STEMI 61.8  157.0  61.00
## 520  79 Female               No Femoral          NSTEMI 61.8  140.0  66.00
## 521  47 Female               No  Radial           STEMI 61.8  153.0  70.00
## 522  83 Female               No  Radial          NSTEMI 61.8  149.0  49.00
## 523  78   Male               No  Radial          NSTEMI 61.8  165.0  70.00
## 524  82 Female               No Femoral          NSTEMI 61.8  158.0  65.00
## 525  80 Female               No Femoral           STEMI 61.9  156.0  57.00
## 526  80 Female               No Femoral           STEMI 61.9  156.0  57.00
## 527  58   Male               No  Radial          NSTEMI 61.9  177.0  79.00
## 528  69 Female               No Femoral          NSTEMI 61.9  158.0  64.00
## 529  67   Male               No  Radial           STEMI 62.0  165.0  56.00
## 530  51   Male               No  Radial           STEMI 62.0  170.0  95.00
## 531  62   Male               No  Radial           STEMI 62.0  170.0  80.00
## 533  59   Male               No  Radial          NSTEMI 62.0  168.0  75.00
## 534  44 Female               No  Radial Unstable Angina 62.0  150.0  51.00
## 535  56   Male               No  Radial Unstable Angina 62.0  170.0  75.00
## 536  49   Male               No  Radial Unstable Angina 62.0  172.0  68.00
## 537  59   Male               No  Radial          NSTEMI 62.2  172.0  86.00
## 538  48 Female               No  Radial Unstable Angina 62.2  153.0  51.00
## 539  47 Female               No  Radial Unstable Angina 62.2  160.0  58.00
## 540  56   Male               No  Radial Unstable Angina 62.2  174.0  83.00
## 541  81   Male               No  Radial           STEMI 62.3  172.0  55.00
## 542  51 Female               No Femoral           STEMI 62.4  161.0  63.00
## 543  85 Female               No  Radial Unstable Angina 62.4  130.0  30.00
## 544  74   Male               No  Radial Unstable Angina 62.4  163.0  71.00
## 545  50 Female               No  Radial Unstable Angina 62.4  152.0  60.00
## 546  56 Female               No Femoral Unstable Angina 62.5  157.0  58.00
## 547  64   Male               No  Radial Unstable Angina 62.6  162.0  80.00
## 548  55 Female               No Femoral Unstable Angina 62.6  154.0  72.00
## 549  50   Male               No  Radial          NSTEMI 62.6  168.0  63.00
## 550  84   Male               No Femoral           STEMI 62.7  168.0  79.00
## 551  64   Male               No  Radial Unstable Angina 62.7  163.0  62.00
## 552  70   Male               No  Radial          NSTEMI 62.7  165.0  65.00
## 553  68 Female               No  Radial Unstable Angina 62.7  148.0  52.00
## 554  48   Male               No  Radial Unstable Angina 62.8  164.0  60.00
## 555  61   Male               No  Radial Unstable Angina 62.8  165.0  67.00
## 556  49 Female               No Femoral Unstable Angina 62.8  150.0  48.00
## 557  55   Male               No Femoral          NSTEMI 62.9  164.0  73.00
## 559  78   Male               No  Radial           STEMI 63.0  160.0  58.00
## 560  87 Female               No Femoral Unstable Angina 63.0  140.0  42.00
## 561  75   Male               No Femoral Unstable Angina 63.0  153.0  63.00
## 562  76 Female               No  Radial Unstable Angina 63.0  153.0  50.00
## 563  66   Male               No Femoral Unstable Angina 63.0  168.0  61.00
## 564  80   Male               No  Radial Unstable Angina 63.0  170.0  78.00
## 565  52 Female               No Femoral Unstable Angina 63.0  158.0  60.00
## 566  70 Female               No Femoral           STEMI 63.1  153.0  43.00
## 567  52   Male               No  Radial           STEMI 63.1  172.0  76.00
## 568  75 Female               No  Radial Unstable Angina 63.1  144.0  39.00
## 569  51   Male               No  Radial Unstable Angina 63.2  168.0  62.00
## 570  41   Male               No  Radial           STEMI 63.3  163.0  64.00
## 571  64 Female               No  Radial          NSTEMI 63.3  155.0  62.00
## 572  62 Female               No  Radial           STEMI 63.4  156.0  52.00
## 573  70 Female               No  Radial           STEMI 63.4  160.0  62.00
## 574  63 Female              Yes Femoral           STEMI 63.4  150.0  66.00
## 575  67 Female               No  Radial Unstable Angina 63.4  147.0  51.00
## 576  80 Female               No  Radial          NSTEMI 63.4  158.0  51.00
## 577  80 Female               No  Radial Unstable Angina 63.4  148.0  57.00
## 578  49 Female               No Femoral Unstable Angina 63.5  159.0  63.00
## 580  49   Male               No  Radial Unstable Angina 63.5  170.0  68.00
## 581  72   Male               No Femoral Unstable Angina 63.5  160.0  58.00
## 582  79 Female               No Femoral          NSTEMI 63.6  154.0  61.00
## 583  78 Female               No Femoral Unstable Angina 63.6  145.0  58.00
## 584  54   Male               No  Radial          NSTEMI 63.7  175.0  74.00
## 585  65   Male               No  Radial Unstable Angina 63.7  170.0  77.00
## 586  62   Male               No Femoral Unstable Angina 63.7  182.0  66.00
## 587  62   Male               No  Radial Unstable Angina 63.7  168.0  64.00
## 588  70   Male              Yes Femoral           STEMI 63.8  172.0  72.00
## 589  67   Male               No  Radial Unstable Angina 63.8  166.0  45.00
## 590  75 Female               No  Radial          NSTEMI 63.8  153.0  55.00
## 591  67   Male               No  Radial Unstable Angina 63.8  166.0  45.00
## 592  69   Male               No  Radial          NSTEMI 63.8  158.0  65.00
## 594  54   Male               No Femoral Unstable Angina 63.8  151.0  68.00
## 595  62   Male               No  Radial Unstable Angina 63.9  172.0  76.00
## 596  65 Female               No Femoral Unstable Angina 63.9  150.0  43.00
## 597  78 Female               No  Radial Unstable Angina 63.9  150.0  40.00
## 598  57   Male               No  Radial          NSTEMI 64.0  163.0  55.00
## 599  51   Male               No  Radial          NSTEMI 64.0  176.0  80.00
## 600  74   Male               No  Radial          NSTEMI 64.0  168.0  70.00
## 601  78 Female               No  Radial Unstable Angina 64.0  155.0  60.00
## 602  71 Female               No Femoral Unstable Angina 64.0  150.0  48.00
## 603  65 Female               No  Radial          NSTEMI 64.0  161.0  51.00
## 604  85   Male               No  Radial Unstable Angina 64.1  171.0  60.00
## 605  44   Male               No  Radial Unstable Angina 64.2  176.0  73.00
## 606  54   Male               No  Radial Unstable Angina 64.2  170.0  66.00
## 607  73 Female               No  Radial Unstable Angina 64.2  165.0  62.00
## 608  53   Male               No Femoral Unstable Angina 64.2  160.0  63.00
## 609  59   Male               No Femoral Unstable Angina 64.2  170.0  85.00
## 610  68 Female               No  Radial Unstable Angina 64.3  154.0  76.00
## 611  49   Male               No  Radial Unstable Angina 64.3  185.0 100.00
## 612  59   Male               No  Radial Unstable Angina 64.3  174.0  67.00
## 613  65   Male               No  Radial          NSTEMI 64.3  160.0  70.80
## 614  75 Female               No  Radial Unstable Angina 64.3  158.0  67.00
## 615  74 Female               No Femoral           STEMI 64.5  150.0  59.00
## 616  67 Female               No  Radial Unstable Angina 64.5  165.0  66.00
## 617  57 Female               No Femoral Unstable Angina 64.5  150.0  65.00
## 618  51 Female               No Femoral Unstable Angina 64.6  164.0  42.00
## 619  51 Female               No Femoral          NSTEMI 64.6  164.0  42.00
## 620  45   Male               No Femoral           STEMI 64.7  174.0  74.00
## 621  61   Male               No  Radial Unstable Angina 64.8  170.0  72.00
## 622  66   Male               No Femoral Unstable Angina 64.8  167.0  71.00
## 623  53 Female               No  Radial Unstable Angina 64.8  150.0  53.00
## 624  66   Male               No  Radial Unstable Angina 64.8  168.0  69.00
## 625  65   Male               No Femoral           STEMI 64.9  169.0  68.00
## 626  62 Female               No Femoral           STEMI 64.9  158.0  67.00
## 627  68   Male               No  Radial          NSTEMI 65.0  159.0  59.00
## 629  60   Male               No  Radial           STEMI 65.0  168.0  70.00
## 630  65   Male               No Femoral Unstable Angina 65.0  167.0  55.00
## 631  80 Female               No  Radial          NSTEMI 65.0  140.0  40.00
## 632  73 Female               No  Radial Unstable Angina 65.0  151.0  60.00
## 633  64   Male               No  Radial          NSTEMI 65.0  168.0  69.00
## 634  70 Female               No Femoral Unstable Angina 65.0  140.0  56.00
## 635  41   Male               No  Radial Unstable Angina 65.0  152.0  50.00
## 636  70 Female               No Femoral Unstable Angina 65.2  151.0  55.00
## 637  57 Female               No Femoral Unstable Angina 65.3  151.0  94.00
## 638  71 Female               No  Radial Unstable Angina 65.3  148.0  55.00
## 639  77   Male               No  Radial           STEMI 65.4  167.0  55.00
## 640  69 Female               No Femoral Unstable Angina 65.4  151.0  67.00
## 641  58   Male               No Femoral Unstable Angina 65.4  160.0  66.00
## 642  68   Male               No  Radial Unstable Angina 65.5  169.0  80.00
## 643  74 Female               No Femoral Unstable Angina 65.5  160.0  55.00
## 644  67   Male               No  Radial Unstable Angina 65.6  173.0  81.00
## 645  51   Male              Yes  Radial           STEMI 65.7  168.0  70.00
## 646  60   Male               No  Radial Unstable Angina 65.7  167.0  78.00
## 647  60   Male               No  Radial Unstable Angina 65.7  167.0  78.00
## 648  66 Female               No  Radial Unstable Angina 65.8  158.0  63.00
## 649  88 Female               No Femoral          NSTEMI 65.8  150.0  50.00
## 650  63   Male               No  Radial          NSTEMI 65.9  160.0  70.00
## 651  88   Male               No  Radial Unstable Angina 66.0  168.0  55.00
## 652  40   Male               No Femoral          NSTEMI 66.0  168.0  62.00
## 653  52   Male               No  Radial Unstable Angina 66.0  178.0  99.00
## 654  65 Female               No  Radial Unstable Angina 66.0  151.0  57.00
## 655  79 Female               No  Radial Unstable Angina 66.0  154.0  63.00
## 656  73   Male               No Femoral Unstable Angina 66.1  160.0  60.00
## 657  53 Female               No Femoral Unstable Angina 66.1  150.0  61.00
## 658  74 Female               No Femoral Unstable Angina 66.2  153.0  55.00
## 659  61   Male               No  Radial Unstable Angina 66.2  183.0 112.00
## 660  56   Male               No  Radial Unstable Angina 66.3  176.0  70.00
## 661  75 Female               No  Radial Unstable Angina 66.3  158.0  60.00
## 662  72 Female               No  Radial Unstable Angina 66.3  153.0  45.00
## 663  56   Male               No  Radial Unstable Angina 66.4  166.0  55.00
## 664  68   Male               No Femoral Unstable Angina 66.4  163.0  59.00
## 665  48   Male               No  Radial Unstable Angina 66.4  161.0  57.00
## 666  41   Male               No  Radial Unstable Angina 66.4  163.0  57.00
## 667  87   Male               No  Radial Unstable Angina 66.4  168.0  55.00
## 669  64 Female               No  Radial Unstable Angina 66.5  160.0  62.00
## 670  69   Male               No Femoral          NSTEMI 66.7  179.0  70.00
## 671  73   Male               No  Radial Unstable Angina 66.7  170.0  76.00
## 672  55   Male              Yes Femoral           STEMI 66.9  178.0  65.00
## 673  79   Male               No  Radial Unstable Angina 66.9  169.0  77.00
## 674  68   Male               No  Radial Unstable Angina 66.9  165.0  67.00
## 675  68   Male               No  Radial Unstable Angina 66.9  165.0  65.00
## 676  65 Female               No Femoral           STEMI 67.0  158.0  64.00
## 677  58   Male               No  Radial Unstable Angina 67.0  167.0  67.00
## 678  72   Male               No Femoral Unstable Angina 67.0  164.0  50.00
## 679  68   Male               No  Radial Unstable Angina 67.0  180.0  82.00
## 680  70 Female              Yes Femoral           STEMI 67.1  150.0  44.00
## 681  41   Male               No  Radial          NSTEMI 67.1  175.0  92.00
## 682  44   Male               No  Radial           STEMI 67.2  173.0  69.00
## 683  67   Male               No  Radial Unstable Angina 67.2  169.0  69.00
## 684  61   Male               No  Radial Unstable Angina 67.2  160.0  67.00
## 685  51   Male               No  Radial Unstable Angina 67.2  167.0  73.00
## 686  64   Male               No  Radial Unstable Angina 67.4  155.0  53.00
## 688  56   Male               No Femoral Unstable Angina 67.5  166.0  76.00
## 689  74 Female               No  Radial Unstable Angina 67.6  155.0  61.00
## 690  75 Female               No  Radial Unstable Angina 67.7  140.0  50.00
## 692  67 Female               No Femoral Unstable Angina 68.0  160.0  60.00
## 693  77 Female               No  Radial Unstable Angina 68.0  157.0  57.00
## 694  52   Male               No  Radial Unstable Angina 68.0  169.0  69.00
## 695  39 Female               No  Radial Unstable Angina 68.2  159.0  54.00
## 697  52 Female               No Femoral Unstable Angina 68.4  148.0  60.00
## 698  41   Male               No  Radial Unstable Angina 68.6  180.0  84.00
## 699  66   Male               No Femoral          NSTEMI 69.0  170.0  67.00
## 700  67   Male               No  Radial Unstable Angina 69.1  170.0  51.00
## 701  46   Male               No  Radial Unstable Angina 69.7  165.0  71.00
## 702  68   Male               No Femoral Unstable Angina 69.9  170.0  54.00
## 703  71 Female               No Femoral Unstable Angina 70.0  145.0  58.00
## 705  73 Female               No  Radial Unstable Angina 70.0  148.0  51.00
## 706  83 Female               No  Radial Unstable Angina 70.2  145.0  60.00
## 707  76 Female               No  Radial Unstable Angina 70.2  150.0  70.00
## 708  68 Female               No  Radial Unstable Angina 71.1  158.0  56.00
## 709  51   Male               No  Radial Unstable Angina 71.5  175.0  70.00
## 710  61   Male               No  Radial Unstable Angina 71.6  165.0  74.00
## 711  61   Male               No  Radial Unstable Angina 71.9  165.0  55.00
## 712  66 Female               No Femoral Unstable Angina 71.9  160.0  60.00
## 713  47   Male               No  Radial          NSTEMI 72.0  170.0  67.00
## 715  59   Male               No  Radial Unstable Angina 73.0  170.0  64.00
## 717  77   Male               No  Radial Unstable Angina 74.0  172.0  76.00
## 718  62   Male               No Femoral          NSTEMI 74.0  163.0  74.00
## 719  62 Female               No  Radial          NSTEMI 75.0  160.0  68.00
## 720  40   Male               No Femoral Unstable Angina 78.1  169.0  74.00
## 721  40   Male               No Femoral Unstable Angina 78.1  169.0  74.00
## 722  91   Male               No  Radial Unstable Angina 79.0  170.0  60.00
## 724  59   Male               No Femoral           STEMI   NA  176.0  78.00
## 734  40   Male               No  Radial           STEMI   NA  180.0  76.00
## 740  61   Male               No  Radial           STEMI   NA  161.0  58.00
## 741  62 Female               No  Radial           STEMI   NA  162.0  70.00
## 743  43   Male               No  Radial Unstable Angina   NA  173.0  95.00
## 744  53   Male               No  Radial           STEMI   NA  174.0  80.00
## 745  40   Male               No  Radial           STEMI   NA  170.0  62.00
## 746  78 Female               No Femoral Unstable Angina   NA  156.0  67.00
## 747  61   Male              Yes  Radial           STEMI   NA  158.0  67.00
## 748  47   Male               No Femoral           STEMI   NA  174.0  69.00
## 749  73   Male               No  Radial          NSTEMI   NA  167.0  60.00
## 754  70   Male              Yes  Radial           STEMI   NA  166.0  65.00
## 763  63   Male              Yes Femoral          NSTEMI   NA  168.0  70.00
## 764  76 Female               No Femoral          NSTEMI   NA  152.0  46.00
## 765  69   Male               No  Radial Unstable Angina   NA  165.0  65.00
## 766  59   Male               No  Radial Unstable Angina   NA  174.0  78.00
## 767  70   Male               No Femoral Unstable Angina   NA  163.0  74.00
## 768  61   Male               No Femoral Unstable Angina   NA  172.0  68.00
## 769  67   Male               No  Radial Unstable Angina   NA  170.0  62.00
## 772  57   Male               No  Radial Unstable Angina   NA  165.0  72.00
## 775  62   Male               No  Radial Unstable Angina   NA  160.0  63.70
## 784  47 Female               No  Radial Unstable Angina   NA  158.0  67.00
## 785  61   Male               No Femoral Unstable Angina   NA  169.0  68.00
## 787  71   Male               No Femoral          NSTEMI   NA  169.0  61.00
## 789  59   Male               No  Radial Unstable Angina   NA  167.0  64.00
## 790  77 Female               No  Radial Unstable Angina   NA  145.0  65.00
## 792  72   Male               No  Radial Unstable Angina   NA  167.0  65.00
## 794  59   Male               No Femoral Unstable Angina   NA  167.0  63.00
## 796  74 Female               No  Radial Unstable Angina   NA  149.5  63.00
## 797  60   Male               No  Radial Unstable Angina   NA  167.0  74.00
## 798  62   Male               No Femoral Unstable Angina   NA  175.0  75.00
## 806  69 Female               No  Radial Unstable Angina   NA  151.0  52.00
## 808  70 Female               No Femoral Unstable Angina   NA  135.0  48.70
## 809  67 Female               No  Radial Unstable Angina   NA  147.0  55.20
## 810  71 Female               No  Radial Unstable Angina   NA  154.0  62.00
## 811  69   Male               No  Radial          NSTEMI   NA  170.0  69.00
## 812  80 Female               No  Radial          NSTEMI   NA  143.5  42.50
## 813  51   Male               No  Radial Unstable Angina   NA  165.0  60.00
## 814  75 Female               No  Radial Unstable Angina   NA  155.0  60.00
## 815  71 Female               No Femoral Unstable Angina   NA  156.0  59.00
## 816  47   Male               No  Radial Unstable Angina   NA  173.0  60.00
## 817  55   Male               No  Radial Unstable Angina   NA  178.0  60.00
## 818  73 Female               No  Radial Unstable Angina   NA  152.0  50.00
## 819  65   Male               No  Radial Unstable Angina   NA  168.0  60.00
## 820  55   Male               No  Radial Unstable Angina   NA  168.0  78.00
## 821  47   Male               No  Radial Unstable Angina   NA  171.0  82.00
## 822  65 Female               No Femoral Unstable Angina   NA  153.0  48.00
## 823  63 Female               No Femoral Unstable Angina   NA  165.0  63.00
## 824  73   Male               No  Radial Unstable Angina   NA  171.0  80.00
## 825  67   Male               No  Radial Unstable Angina   NA  170.0  61.00
## 826  42   Male               No  Radial Unstable Angina   NA  171.0  84.00
## 827  44   Male               No  Radial Unstable Angina   NA     NA  76.00
## 828  56   Male               No  Radial Unstable Angina   NA  170.0  95.00
## 829  79 Female               No  Radial Unstable Angina   NA  155.0  58.00
## 830  78 Female               No  Radial Unstable Angina   NA  150.0  50.00
## 831  61   Male               No  Radial Unstable Angina   NA  164.0  85.00
## 832  69 Female               No  Radial Unstable Angina   NA     NA  50.00
## 833  64   Male               No  Radial Unstable Angina   NA  167.0  82.00
## 835  65   Male               No  Radial Unstable Angina   NA  165.0  70.00
## 836  47 Female               No Femoral Unstable Angina   NA  156.0  61.65
## 837  60 Female               No  Radial Unstable Angina   NA  150.0  51.90
## 838  74 Female               No Femoral Unstable Angina   NA  160.0  72.50
## 839  67   Male               No Femoral Unstable Angina   NA  168.0  63.60
## 840  61   Male               No  Radial Unstable Angina   NA  162.0  64.90
## 841  55   Male               No  Radial Unstable Angina   NA  172.0  71.00
## 843  57   Male               No Femoral Unstable Angina   NA  170.0  71.00
## 844  57 Female               No  Radial Unstable Angina   NA  159.0  72.00
## 845  61   Male               No  Radial Unstable Angina   NA  172.0  70.00
## 846  55   Male               No  Radial Unstable Angina   NA  167.0  72.00
## 848  61   Male               No  Radial Unstable Angina   NA  169.0  88.00
## 849  67 Female               No  Radial Unstable Angina   NA  162.0  58.00
## 850  73 Female               No  Radial Unstable Angina   NA  157.0  72.00
## 851  71   Male               No Femoral          NSTEMI   NA  169.0  61.00
## 853  69 Female               No  Radial Unstable Angina   NA  153.0  66.45
## 854  86 Female               No  Radial Unstable Angina   NA  142.5  50.40
## 855  78 Female               No  Radial Unstable Angina   NA  158.0  60.00
## 856  67   Male               No Femoral Unstable Angina   NA  156.0  64.00
##          BMI obesity    TC LDLC HDLC  TG  DM HBP   smoking
## 1   25.51020     Yes 215.0  154   35 155 Yes  No    Smoker
## 2   21.91381      No    NA   NA   NA 166  No Yes     Never
## 4   18.36547      No 121.0   73   20  89  No  No     Never
## 5   24.38653      No 195.0  151   36  63 Yes Yes    Smoker
## 6   25.20398     Yes 184.0  112   38 137 Yes Yes     Never
## 7   27.96802     Yes 161.0   91   34 196 Yes Yes Ex-smoker
## 8   19.53125      No 136.0   88   33  30 Yes Yes Ex-smoker
## 9   28.99931     Yes 239.0  161   34 118 Yes Yes     Never
## 10  21.25850      No 169.0   88   54 141 Yes  No    Smoker
## 11  19.59184      No 272.0  212   32  52 Yes  No Ex-smoker
## 12  25.88757     Yes 184.0  123   43  72 Yes Yes     Never
## 13  23.79536      No 239.0  150   42 156 Yes Yes     Never
## 14  22.66667      No 171.0   94   46 120 Yes  No     Never
## 15  19.62826      No 130.0   78   31 139  No  No Ex-smoker
## 17  23.37258      No 169.0  114   35  63 Yes Yes    Smoker
## 19  23.18367      No 173.0  107   32 115  No Yes    Smoker
## 20  36.52301     Yes 201.0  122   42  77  No  No Ex-smoker
## 21  22.72044      No 125.0   53   55  30 Yes Yes    Smoker
## 22  19.43301      No 108.0   57   41  30  No Yes    Smoker
## 23  24.60973      No 151.0   87   40 117  No  No Ex-smoker
## 24  23.78121      No 233.0  139   44  95  No Yes     Never
## 25  24.22145      No 164.0  114   35  66  No  No    Smoker
## 26  18.73049      No 174.0   86   37 183 Yes Yes     Never
## 27  23.14050      No 225.0  151   32 148  No  No    Smoker
## 28  23.30668      No 148.0   94   37  56 Yes Yes    Smoker
## 29  23.43750      No    NA   NA   NA  NA Yes Yes     Never
## 30  21.22281      No 208.0  152   36  47 Yes  No    Smoker
## 31  19.97919      No 188.0  118   53  52  No  No    Smoker
## 32  23.14050      No 185.0   92   66  71 Yes Yes     Never
## 33  27.34375     Yes 214.0  145   45  99  No Yes Ex-smoker
## 34  20.24490      No 181.0  120   41  76 Yes Yes    Smoker
## 35  25.51020     Yes 159.0   89   31 115  No Yes    Smoker
## 36  20.57613      No 127.0   61   33  76  No  No Ex-smoker
## 37  21.35931      No 212.0  147   48  83  No  No     Never
## 38  20.19509      No 250.0  162   68  95  No  No Ex-smoker
## 39  18.08021      No 132.0   74   29 156  No  No     Never
## 40  26.21882     Yes 195.0  125   48  89 Yes Yes     Never
## 41  31.22130     Yes 272.0  196   56  58  No Yes    Smoker
## 42  31.11111     Yes 131.0   86   21 102 Yes Yes     Never
## 43  24.80159      No 105.0  265   35 126 Yes  No    Smoker
## 44  25.34435     Yes 140.0   77   45 122 Yes Yes     Never
## 45  23.87543      No 133.0   82   21  92  No Yes Ex-smoker
## 46  25.52964     Yes 198.0  133   42  54  No Yes     Never
## 47  25.59374     Yes 276.0  169   33 233 Yes Yes    Smoker
## 48  29.21841     Yes 117.0   60   24 160 Yes Yes     Never
## 49  21.09375      No  86.0   42   19  78  No Yes Ex-smoker
## 50  18.59012      No 159.0   64   62  29  No Yes     Never
## 51  21.82995      No 223.0   89   31 416 Yes Yes    Smoker
## 52  19.84127      No 165.0  112   42 107  No Yes     Never
## 53  32.56189     Yes 208.0  140   25 243  No  No    Smoker
## 54  25.24934     Yes 195.0  147   37  88  No  No    Smoker
## 55  22.77319      No 134.0   82   40  67 Yes Yes     Never
## 56  27.54821     Yes 194.0  147   30  60  No Yes     Never
## 57  24.97399      No 187.0  108   35 209 Yes Yes     Never
## 58  21.96712      No 164.0  103   34 101  No  No    Smoker
## 59  24.44444      No 176.0   79   54 134 Yes Yes     Never
## 60  27.54821     Yes 186.0  133   47  67  No Yes    Smoker
## 61  20.79673      No 125.0   27   75  37  No  No     Never
## 62  21.97134      No 165.0  110   45  29  No  No    Smoker
## 63  26.83865     Yes 223.0  143   48 115 Yes  No    Smoker
## 64  25.95156     Yes 140.0   89   28  85 Yes Yes    Smoker
## 65  19.47341      No 212.0  125   48  88  No  No     Never
## 66  22.06035      No 189.0  107   49  89  No  No     Never
## 67  27.34375     Yes 174.0  127   21 177 Yes Yes     Never
## 68  22.67574      No 154.0   81   31  36 Yes Yes    Smoker
## 69  26.98962     Yes 231.0  167   41  90  No  No Ex-smoker
## 70  24.74094      No 309.0  222   48 182  No  No     Never
## 71  20.02884      No 175.0   95   46  37  No Yes Ex-smoker
## 72  28.30533     Yes 231.0   NA   27 389  No Yes Ex-smoker
## 73  18.36900      No 208.0  154   37 112 Yes  No     Never
## 74  22.32143      No 221.0  155   56  58  No  No    Smoker
## 75  20.70082      No 154.0   87   48  67  No Yes     Never
## 76  21.48438      No 221.0  166   51  71  No  No    Smoker
## 77  20.90420      No 221.0  147   47 127  No Yes    Smoker
## 78  24.16716      No 152.0  114   16  16  No  No Ex-smoker
## 79  22.03857      No 127.0   70   42  61  No Yes Ex-smoker
## 80  18.90204      No 126.0   71   27  84 Yes Yes     Never
## 81  22.83288      No 166.0  112   38  76  No Yes     Never
## 82  21.41094      No 126.0   72   24  94  No Yes     Never
## 83  22.66667      No 195.0  131   36 140 Yes Yes     Never
## 84  25.24934     Yes 174.0  115   19 151 Yes  No    Smoker
## 85  18.01721      No  99.0   68   24  82  No  No     Never
## 86  24.21875      No 178.0   92   68  42  No Yes     Never
## 87  22.58271      No    NA   NA   NA  50 Yes  No Ex-smoker
## 88  23.03005      No 185.0  141   26  96  No  No    Smoker
## 90  26.57313     Yes 248.0  155   40 138  No  No    Smoker
## 91  24.44444      No 246.0  141    7  70 Yes Yes Ex-smoker
## 92  25.18079     Yes 231.0   95   58  93  No Yes Ex-smoker
## 93  25.39062     Yes 160.0  100   31 119 Yes Yes     Never
## 94  22.85714      No 202.0   34   14 106  No  No    Smoker
## 95  21.25850      No 140.0   85   25 142  No Yes    Smoker
## 96  22.98190      No 196.0   96   28 446  No  No    Smoker
## 97  21.07720      No 225.0   64   77  91  No Yes    Smoker
## 98  22.10029      No 258.0  195   41  97 Yes  No    Smoker
## 99  20.28123      No 173.0  123   28  76  No Yes Ex-smoker
## 100 22.03857      No 227.0  154   35 108 Yes Yes     Never
## 101 16.65249      No 154.0  102   37  44  No  No    Smoker
## 103 24.44444      No 141.0   65   38  44  No Yes Ex-smoker
## 104 24.69136      No 103.0   52   31  68 Yes Yes    Smoker
## 105 22.10029      No 251.0  161   55 109 Yes Yes     Never
## 106 28.88889     Yes  88.0   29   38  80  No Yes     Never
## 107 23.43750      No  89.0   36   34 120  No Yes     Never
## 109 22.23099      No 178.0  131   45  27  No Yes Ex-smoker
## 110 25.21625     Yes 139.0   90   38  74  No Yes Ex-smoker
## 111 21.92886      No 164.0  102   35  92  No  No    Smoker
## 112 24.76757      No 209.0  140   36 212 Yes Yes Ex-smoker
## 113 21.67126      No 234.0  153   56 109  No  No    Smoker
## 114 20.54989      No 126.0   63   48  62 Yes Yes Ex-smoker
## 115 24.91349      No    NA   NA   NA  NA Yes Yes Ex-smoker
## 116 26.53376     Yes 164.0  111   38  91 Yes Yes    Smoker
## 118 24.34176      No 174.0  103   10 129  No Yes Ex-smoker
## 119 25.14861     Yes 179.0  119   31 120  No Yes     Never
## 120 23.43750      No  25.0   96   10  26  No  No    Smoker
## 121 23.87511      No 164.0  109   33  40  No Yes    Smoker
## 122 26.07897     Yes 184.0  124   29 414 Yes  No    Smoker
## 123 24.97399      No 180.0  132   40  60 Yes Yes Ex-smoker
## 124 24.67702      No 278.0  188   37 146 Yes Yes Ex-smoker
## 125 19.59184      No 143.0   91   33  50  No  No    Smoker
## 126 23.43750      No 222.0  161   40 118  No  No     Never
## 127 23.33547      No 160.0   81   41 166  No  No Ex-smoker
## 128 25.25952     Yes 258.0  189   36  66 Yes  No    Smoker
## 129 20.76125      No 221.0  108   44 178 Yes Yes     Never
## 130 21.07720      No 277.0  194   40 154  No Yes    Smoker
## 131 27.43725     Yes 212.0  128   50  45  No Yes     Never
## 132 22.22222      No 151.0   96   43  39  No  No    Smoker
## 133 27.61341     Yes 165.0  105   39  85  No Yes     Never
## 134 23.71961      No 172.0  116   35  58 Yes  No Ex-smoker
## 135 20.02884      No 166.0   98   39 113 Yes  No    Smoker
## 137 23.12062      No 210.0  153   44  54  No  No     Never
## 138 30.47797     Yes 197.0  131   42 143  No Yes    Smoker
## 139 20.70082      No 148.0   84   37 103  No Yes     Never
## 140 22.65625      No 159.0   91   45  67  No Yes     Never
## 141 23.30905      No 315.0  205   75  80 Yes Yes     Never
## 142 24.60938      No 210.0  167   27 130  No  No    Smoker
## 143 22.09317      No 160.0  112   32 142  No  No     Never
## 144 26.12245     Yes 208.0  151   41 224  No Yes    Smoker
## 145 22.89282      No 165.0   83   50  63 Yes  No     Never
## 146 23.52941      No 181.0  113   38  33  No  No    Smoker
## 147 26.92744     Yes 199.0  132   38 211  No  No Ex-smoker
## 148 25.20920     Yes 207.0  146   30 101 Yes  No Ex-smoker
## 149 22.65625      No 143.0   94   24  92  No Yes Ex-smoker
## 150 21.25850      No 195.0  144   30  66  No Yes    Smoker
## 151 27.43484     Yes 185.0   91   68  78  No Yes Ex-smoker
## 152 24.85795      No 145.0   98   36  38  No  No     Never
## 153 26.91273     Yes 205.0  112   44  75 Yes  No    Smoker
## 154 21.51386      No 201.0   76   31  55 Yes  No     Never
## 155 34.47525     Yes 116.0   47   50 129 Yes Yes    Smoker
## 156 29.02531     Yes 134.0   71   39  96 Yes  No Ex-smoker
## 157 23.71184      No 205.0  136   48 117  No  No     Never
## 158 23.52941      No 239.0   15   41  78 Yes Yes    Smoker
## 159 21.45329      No 169.0  108   44  55  No Yes Ex-smoker
## 160 22.97194      No 139.0   76   33  76  No Yes     Never
## 161 24.14152      No 242.0  172   32 302 Yes Yes     Never
## 162 24.80159      No    NA   NA   NA  61 Yes Yes    Smoker
## 163 22.06035      No 278.0  185   45 210  No Yes     Never
## 164 17.00680      No 113.0   79   14  47  No  No    Smoker
## 165 17.00680      No 113.0   79   14  47  No  No    Smoker
## 166 26.98962     Yes 216.0  143   41 138  No  No Ex-smoker
## 167 18.66667      No 184.0  125   42  25 Yes Yes     Never
## 168 18.66667      No 123.0   71   27  73  No  No    Smoker
## 169 20.67901      No 141.0   98   32  54 Yes Yes Ex-smoker
## 170 27.47138     Yes 202.0  130   37 134  No Yes Ex-smoker
## 171 23.38869      No 202.0  157   45  40  No  No Ex-smoker
## 172 27.42857     Yes 180.0  107   42 130  No Yes    Smoker
## 173 22.40588      No 182.0  125   36  74 Yes Yes Ex-smoker
## 174 21.87500      No 228.0  181   29  66  No Yes    Smoker
## 175 24.16716      No 155.0   82   59  77 Yes  No Ex-smoker
## 176 20.44444      No 153.0  101   32 113 Yes Yes Ex-smoker
## 177 24.97704      No 236.0  173   10  77 Yes  No    Smoker
## 178 22.12974      No 181.0  110   51  49  No  No Ex-smoker
## 179 18.59012      No 168.0  107   41  69  No  No     Never
## 180 23.88946      No 245.0  166   50 128  No  No     Never
## 181 24.72518      No 218.0  147   47 120  No Yes Ex-smoker
## 182 20.76125      No 169.0   92   10 142  No  No Ex-smoker
## 183 32.45568     Yes 199.0  129   32 257 Yes Yes    Smoker
## 184 22.80602      No 222.0  161   42 120  No Yes Ex-smoker
## 185 22.52151      No 203.0  141   38  57 Yes  No Ex-smoker
## 186 27.09925     Yes 187.0  123   47 192  No Yes    Smoker
## 187 20.00000      No 209.0  156   42  84  No Yes     Never
## 188 25.06575     Yes 190.0  128   43 126  No Yes Ex-smoker
## 189 21.40309      No 256.0  166    8  64  No Yes     Never
## 190 23.83673      No    NA   NA   NA  NA Yes Yes    Smoker
## 191 22.03173      No 152.0   79   51 108  No  No    Smoker
## 192 20.76125      No 212.0  149   33 120  No Yes    Smoker
## 193 20.00000      No 323.0  220   50 184 Yes Yes     Never
## 194 27.04164     Yes 192.0  136   32 106 Yes Yes     Never
## 195 22.03857      No 146.0   99   33  78  No Yes Ex-smoker
## 196 27.82931     Yes 227.0  132   47 111 Yes Yes     Never
## 197 22.03857      No 189.0  127   41  68  No  No    Smoker
## 198 22.30815      No 169.0  118   28 156  No  No    Smoker
## 199 27.54821     Yes 200.0  134   34 217 Yes  No    Smoker
## 200 21.45329      No 235.0  180   40  90  No  No Ex-smoker
## 201 25.39062     Yes 168.0  118   40  24 Yes Yes    Smoker
## 202 17.91509      No 168.0  111   36  76  No Yes Ex-smoker
## 203 26.12245     Yes 230.0  151   40 201  No  No    Smoker
## 204 29.72652     Yes 188.0  142   29 110  No  No    Smoker
## 205 31.68855     Yes 152.0   93   29 135  No Yes     Never
## 206 27.45060     Yes 193.0  141   30 203  No  No    Smoker
## 207 24.97399      No 153.0   92   35  84  No  No     Never
## 208 19.53125      No 144.0   75   50  44  No  No    Smoker
## 209 22.44802      No 215.0  159   30 164  No  No    Smoker
## 210 22.03857      No 143.0   91   39  44 Yes Yes Ex-smoker
## 211 22.37568      No 189.0  128   40 115  No  No    Smoker
## 212 26.81359     Yes 157.0   99   41 105 Yes  No     Never
## 213 23.24380      No 183.0  120   11  71  No  No    Smoker
## 214 24.14152      No 251.0  141   50 136  No Yes Ex-smoker
## 215 19.03114      No 184.0  129   32 101  No Yes Ex-smoker
## 216 29.41076     Yes  33.0  103   10 110  No  No    Smoker
## 217 25.71166     Yes 208.0  148   28  38  No  No    Smoker
## 218 27.34375     Yes 246.0  163   53  80  No Yes     Never
## 219 24.60938      No 184.0  130   39  65  No Yes     Never
## 221 20.07733      No  96.0   60   24  80 Yes Yes     Never
## 222 23.04688      No 226.0  162   45  55  No Yes     Never
## 223 26.03749     Yes 151.0   79   52  60  No Yes Ex-smoker
## 224 24.97704      No 155.0   74   43 109 Yes  No Ex-smoker
## 225 22.89282      No 231.0  130   43 178 Yes Yes     Never
## 226 18.90204      No 159.0   71   47 172 Yes Yes     Never
## 227 19.25703      No 227.0  170   34 108  No Yes    Smoker
## 228 25.71166     Yes 262.0  205   26 154  No  No    Smoker
## 229 22.65625      No 148.0   87   39  78  No Yes Ex-smoker
## 230 24.50895      No 166.0  119   33  83  No Yes     Never
## 231 22.83288      No 289.0  224   44  81 Yes  No    Smoker
## 232 23.97959      No 203.0  157   39  79 Yes Yes     Never
## 233 25.46198     Yes 128.0   74   35  75  No  No     Never
## 234 22.72440      No 147.0   77   42  71  No  No    Smoker
## 235 18.73049      No    NA   NA   NA  NA Yes  No     Never
## 236 24.56747      No 200.0  166   38 176  No Yes    Smoker
## 237 24.97399      No 229.0  154   51 121 Yes Yes     Never
## 238 27.47138     Yes 175.0  104   59  24  No Yes Ex-smoker
## 239 21.40309      No 199.0  107   60 119  No Yes     Never
## 240 24.16327      No 164.0   87   36  54 Yes Yes Ex-smoker
## 241 22.77319      No 137.0   81   39  46 Yes Yes Ex-smoker
## 242 22.65625      No 166.0  104   46  48  No  No Ex-smoker
## 244 26.29758     Yes 222.0  149   36 135  No  No    Smoker
## 245 26.31464     Yes 163.0   90   41 177  No  No Ex-smoker
## 246 21.46194      No 190.0  129   29 118  No  No    Smoker
## 247 24.78426      No 150.0   79   47 174 Yes  No    Smoker
## 248 32.34682     Yes 144.0   98   37  62 Yes Yes Ex-smoker
## 249 25.39062     Yes 217.0  170   33  49  No  No    Smoker
## 250 27.13141     Yes 214.0  132   43 194 Yes  No Ex-smoker
## 251 25.60554     Yes 143.0   83   20 163  No  No    Smoker
## 252 21.61281      No 170.0  116   50  48  No  No    Smoker
## 253 31.64062     Yes 213.0   76   36 489  No Yes    Smoker
## 254 24.44180      No 178.0  104   39 263 Yes Yes    Smoker
## 255 30.10381     Yes 210.0  145   38 169  No  No    Smoker
## 256 21.77384      No 178.0  121   29 115  No  No    Smoker
## 257 23.14050      No 195.0  128   36 136  No  No    Smoker
## 258 26.12245     Yes 248.0  158   37 240  No  No    Smoker
## 259 27.34375     Yes 199.0  118   38 212  No Yes    Smoker
## 260 27.30997     Yes 151.0   77   43 130  No Yes     Never
## 261 18.36547      No  98.0   48   37  27 Yes  No     Never
## 262 20.00000      No 231.0  141   50  98 Yes Yes     Never
## 263 24.07407      No 223.0  159   25 184 Yes Yes    Smoker
## 264 23.87543      No 148.0  103   33 133 Yes Yes    Smoker
## 265 22.64086      No 271.0  179   40 179 Yes Yes     Never
## 266 24.97704      No 166.0  129   28 125  No Yes    Smoker
## 267 28.73175     Yes 184.0  133   36 112  No Yes    Smoker
## 268 23.80869      No 187.0  146   34  65  No  No    Smoker
## 269 26.82742     Yes 240.0  196   36 194  No  No    Smoker
## 270 24.77210      No 179.0  121   37  76  No  No    Smoker
## 271 26.15563     Yes 230.0  154   45 169  No  No Ex-smoker
## 272 27.71769     Yes 164.0  119   23 151  No  No Ex-smoker
## 273 22.86237      No 199.0  129   39  75  No Yes     Never
## 274 28.88889     Yes 207.0  134   42 135  No Yes     Never
## 275 22.65625      No 156.0  111   35  62 Yes  No     Never
## 276 24.91349      No 225.0  108   48 257  No  No Ex-smoker
## 277 25.86451     Yes 170.0  114   37  70  No Yes Ex-smoker
## 278 27.42857     Yes 180.0  122   34  70  No Yes Ex-smoker
## 280 19.53125      No 105.0   51   29 123  No Yes    Smoker
## 281 22.38631      No 181.0  112   51  32  No  No    Smoker
## 282 23.19109      No 181.0  123   44  43  No  No     Never
## 284 22.09317      No 137.0   73   47  31  No Yes    Smoker
## 285 27.18090     Yes 140.0   88   34 181  No Yes Ex-smoker
## 286 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 287 24.31412      No 227.0  144   47  75  No Yes    Smoker
## 288 26.17383     Yes 234.0  156   35 164 Yes  No Ex-smoker
## 289 22.12974      No 168.0  112   44  61  No Yes    Smoker
## 290 25.33333     Yes 102.0   72   25  65 Yes Yes     Never
## 291 25.01352     Yes 168.0  107   28 188 Yes  No    Smoker
## 292 24.18705      No 176.0   87   46 218  No  No    Smoker
## 293 31.07354     Yes  97.0   53   26  93 Yes  No    Smoker
## 294 20.18462      No 189.0   91   45 141  No  No    Smoker
## 295 20.18462      No 207.0  137   43 136  No  No    Smoker
## 296 27.34375     Yes 154.0   86   42 148 Yes Yes Ex-smoker
## 297 23.93899      No 163.0  102   28 220  No  No    Smoker
## 298 21.45329      No 208.0  113   41 259  No  No    Smoker
## 299 28.65014     Yes 116.0   48   38 164 Yes Yes    Smoker
## 300 21.45329      No 131.0   67   30 156  No Yes    Smoker
## 301 23.47303      No 211.0  145   39  75  No Yes     Never
## 302 23.33547      No 162.0  103   26 184  No  No Ex-smoker
## 303 25.56495     Yes 161.0  108   34  59  No  No    Smoker
## 304 23.50781      No 218.0  171   35 120  No Yes Ex-smoker
## 305 19.25703      No 182.0  123   33 120 Yes Yes Ex-smoker
## 306 22.52151      No 244.0  161   48  97  No Yes     Never
## 307 26.17188     Yes 239.0  169   43 112  No  No    Smoker
## 308 23.12062      No 230.0  143   58 109  No  No     Never
## 309 23.43750      No 118.0   70   35  95  No Yes    Smoker
## 310 25.39062     Yes 170.0  128   35  58  No Yes Ex-smoker
## 311 27.54821     Yes 228.0  175   46  98 Yes Yes    Smoker
## 312 23.63403      No 168.0  104   45 646  No Yes     Never
## 313 25.76298     Yes 182.0  111   43 134  No Yes    Smoker
## 314 41.42012     Yes 229.0  148   47 151 Yes Yes Ex-smoker
## 315 24.14152      No 223.0  147   33 147 Yes Yes     Never
## 316 27.99036     Yes 198.0  131   38 101  No  No    Smoker
## 317 22.05805      No 154.0   98   29  91  No Yes    Smoker
## 318 23.42356      No 192.0  110   39  81  No Yes    Smoker
## 319 26.07897     Yes 158.0   89   30 157  No Yes    Smoker
## 320 20.02884      No 160.0   83   49  58  No  No    Smoker
## 321 30.79585     Yes 172.0  104   36 189 Yes Yes    Smoker
## 322 25.39343     Yes 155.0   70   45 217  No Yes    Smoker
## 323 32.04615     Yes 330.0  263   49  84 Yes  No Ex-smoker
## 324 21.70139      No 202.0  128   31 149  No  No     Never
## 325 26.44898     Yes 149.0   93   24 154 Yes Yes Ex-smoker
## 326 27.10204     Yes 120.0   63   38 112  No  No    Smoker
## 327 27.45865     Yes 173.0  113   33 138 Yes  No     Never
## 328 22.20408      No 188.0  132   28 131 Yes Yes    Smoker
## 330 22.32143      No 108.0   60   21 123 Yes Yes    Smoker
## 331 18.42404      No 199.0  125   38 141 Yes Yes     Never
## 332 24.60938      No 141.0   79   28 152  No  No     Never
## 333 23.04688      No 178.0  100   33 176  No Yes     Never
## 334 24.30462      No 132.8   77   32 119 Yes Yes    Smoker
## 335 21.35780      No 105.0   45   38  28  No Yes    Smoker
## 336 21.40309      No 191.0  106   52  64 Yes Yes     Never
## 337 22.54658      No 161.0  107   25 164 Yes Yes     Never
## 338 27.34375     Yes 178.0  101   35 123 Yes Yes     Never
## 339 24.22145      No 159.0   93   47  88  No  No     Never
## 340 20.19558      No 223.0  126   66  83  No Yes    Smoker
## 341 29.93827     Yes 194.0  143   41 108  No  No    Smoker
## 342 25.43748     Yes 255.0  136   51 176  No Yes     Never
## 343 26.10656     Yes 154.0   71   55  68  No  No Ex-smoker
## 344 27.81588     Yes 184.0   90   63 135 Yes Yes     Never
## 345 27.18090     Yes 182.0  113   24  64  No  No    Smoker
## 346 24.03461      No 146.0   88   45  65  No  No     Never
## 347 26.33289     Yes 199.0  149   21 114  No Yes Ex-smoker
## 348 25.86451     Yes 226.0  146   53  31  No  No    Smoker
## 349 26.77551     Yes 164.0   93   47  60 Yes Yes     Never
## 351 24.46460      No 144.0   94   30  75  No Yes     Never
## 352 23.14050      No 127.0   81   28  80  No Yes    Smoker
## 353 24.50895      No 286.0  198   48 166  No  No Ex-smoker
## 354 21.22789      No 177.0  113   34 151  No  No Ex-smoker
## 355 23.30109      No 117.0   69   34  19 Yes Yes    Smoker
## 356 22.03857      No 169.0  109   41 106  No Yes Ex-smoker
## 357 23.03005      No 166.0  102   10  87 Yes Yes    Smoker
## 358 26.29758     Yes 118.0   74   25  61  No Yes     Never
## 359 25.59374     Yes 193.0  102   42 200 Yes  No    Smoker
## 360 26.21882     Yes 178.0  111   39  20  No  No     Never
## 361 24.03461      No 179.0  117   44  93 Yes Yes     Never
## 362 24.22145      No 173.0  112   23  90 Yes Yes    Smoker
## 363 25.28257     Yes 125.0   55   39 109 Yes Yes     Never
## 364 28.65014     Yes 210.0  152   38  63  No Yes     Never
## 365 24.72518      No 178.0  117   42  79  No Yes     Never
## 366 29.38776     Yes 267.0  202   38 215 Yes Yes    Smoker
## 367 31.74179     Yes 206.0  123   26 276  No  No    Smoker
## 368 24.60973      No 231.0  125   76  79 Yes  No    Smoker
## 369 24.80159      No 211.0  157   37 154  No Yes    Smoker
## 370 26.63496     Yes 213.0  141   34  62  No Yes     Never
## 371 27.54821     Yes 239.0   83   37 319  No  No Ex-smoker
## 372 24.84098      No 162.0  108   39 136  No Yes    Smoker
## 373 22.43230      No 221.0  136   70 118  No Yes Ex-smoker
## 374 25.95156     Yes 202.0  140   34  37 Yes Yes     Never
## 375 23.80869      No 246.0  185   41 154  No  No    Smoker
## 376 25.96454     Yes 205.0  112   65  82  No Yes Ex-smoker
## 377 21.96712      No 248.0  182   37 122  No  No    Smoker
## 378 23.04688      No 168.0   98   36  32  No Yes    Smoker
## 379 22.89282      No 220.0  151   34 162  No Yes     Never
## 380 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 381 26.17188     Yes 165.0  104   34 137  No Yes     Never
## 382 22.22222      No  95.0   41    8 105 Yes Yes     Never
## 384 22.22222      No 128.0   65   38  83  No  No     Never
## 385 36.67820     Yes 210.0  150   33 181 Yes  No    Smoker
## 386 17.57812      No 163.0   99   55  44  No  No Ex-smoker
## 387 22.53061      No 134.0   95   15 109  No  No Ex-smoker
## 388 29.00059     Yes 216.0  163   34 181  No Yes     Never
## 389 24.80159      No 188.0  114   33 201  No Yes    Smoker
## 390 20.54419      No 206.0  123   49  99  No Yes Ex-smoker
## 391 22.49135      No 213.0  139   42  57  No  No     Never
## 392 27.04164     Yes 154.0   71   50 115 Yes Yes     Never
## 394 26.07897     Yes 195.0  133   33  45  No Yes     Never
## 395 24.03461      No 103.0   36   38 132 Yes Yes     Never
## 396 20.76125      No 171.0  100   49 127  No Yes    Smoker
## 397 20.20202      No 199.0  133   37  30  No Yes     Never
## 398 23.33547      No 232.0  108   24 375 Yes Yes     Never
## 399 28.94610     Yes 215.0  147   30 118  No Yes     Never
## 400 21.92613      No 126.0   76   27  83  No  No     Never
## 401 24.21875      No 190.0  118   23 152 Yes Yes     Never
## 402 24.67550      No 188.0  104   59 113  No Yes    Smoker
## 403 24.89706      No 155.8   97   22 184  No  No Ex-smoker
## 404 26.66667     Yes 183.0  134   36  79 Yes  No     Never
## 406 19.37716      No 198.0  136   46 139 Yes  No Ex-smoker
## 407 22.49135      No 164.0  109   34  61  No  No Ex-smoker
## 408 17.92822      No  78.0   49   26  34  No Yes    Smoker
## 409 33.62209     Yes 183.0  112   30  64 Yes Yes     Never
## 410 26.34649     Yes 246.0  178   48  82  No  No    Smoker
## 411 22.89282      No 314.0  208   63 176 Yes Yes     Never
## 412 21.23057      No 134.0   72   51  76  No  No     Never
## 413 26.47211     Yes    NA   NA   NA 171  No Yes    Smoker
## 414 23.72529      No 167.0  115   37  51  No Yes     Never
## 415 21.25850      No 129.0   74   25  88  No Yes     Never
## 416 26.95312     Yes 114.0   62   37 150  No Yes Ex-smoker
## 417 26.42357     Yes 203.0  128   48  60  No Yes Ex-smoker
## 418 22.23099      No 197.0  138   27 110  No  No Ex-smoker
## 419 25.86451     Yes 235.0  190   34  87 Yes Yes Ex-smoker
## 420 23.66524      No 189.0  120   38 110  No Yes Ex-smoker
## 421 28.65014     Yes 197.0  121   41 124  No Yes    Smoker
## 422 26.25958     Yes 155.0   87   39  61 Yes Yes    Smoker
## 423 24.44444      No 139.0  175    5  66  No Yes     Never
## 424 25.76298     Yes 203.0  128   35 258 Yes Yes    Smoker
## 425 26.53376     Yes 179.0   74   29 377 Yes Yes     Never
## 426 24.38237      No 184.0  117   34  99  No Yes    Smoker
## 427 26.40235     Yes 155.0  105   41 108 Yes Yes     Never
## 428 19.10009      No 227.0  140   35 192  No  No    Smoker
## 429 26.17188     Yes 185.0  113   41  92 Yes Yes     Never
## 430 24.05693      No    NA   NA   NA  60 Yes Yes     Never
## 431 21.77778      No 258.0  161   31 185 Yes Yes     Never
## 432 24.46460      No 224.0  149   26 217 Yes  No Ex-smoker
## 433 23.58833      No 234.0  153   35 129  No  No    Smoker
## 434 26.23356     Yes 100.0   38   42  65 Yes Yes Ex-smoker
## 435 27.40766     Yes 118.0   50   33  97 Yes Yes Ex-smoker
## 436 24.38653      No 191.0  148   27  92  No  No     Never
## 437 27.68166     Yes 164.0  113   43  30 Yes Yes Ex-smoker
## 438 21.40309      No 176.0  118   34 142 Yes  No     Never
## 440 29.93827     Yes 204.0  107   43 180  No  No     Never
## 441 23.66144      No 265.0  177   45 288 Yes  No    Smoker
## 442 22.38631      No 162.0   94   39  92  No  No    Smoker
## 443 25.71101     Yes 193.0  119   28 107  No Yes     Never
## 444 23.03005      No 145.0   52   24 680 Yes  No    Smoker
## 445 24.48980      No 206.0  128   40  66  No Yes    Smoker
## 446 19.55556      No 177.0   44   55  77 Yes  No     Never
## 447 30.44384     Yes 167.0  117   35 117  No Yes     Never
## 448 23.14050      No 225.0  151   32 148  No  No    Smoker
## 449 23.78121      No 201.0  154   34 144  No Yes Ex-smoker
## 450 23.72281      No 141.0   72   41 239  No  No Ex-smoker
## 451 22.95918      No 480.0  314   44 243 Yes Yes     Never
## 452 25.95156     Yes 145.0   83   35  66  No Yes     Never
## 453 22.23099      No 150.0   82   26 153 Yes  No    Smoker
## 455 26.76978     Yes 134.0   98   24  60  No  No    Smoker
## 456 18.81892      No 130.0   43   61  72  No Yes    Smoker
## 457 18.42404      No 493.0  366   59 163  No  No Ex-smoker
## 458 24.97399      No 131.0   57   44 124  No  No Ex-smoker
## 459 19.53125      No 190.0  115   51  38  No  No Ex-smoker
## 460 24.97399      No 153.0   87   34  22 Yes  No     Never
## 461 25.91068     Yes 203.0  120   36 297  No Yes    Smoker
## 462 22.58271      No 163.0  106   30 155  No Yes     Never
## 463 25.05931     Yes 217.0  152   24 150  No Yes Ex-smoker
## 464 24.23823      No 181.0  122   34  68  No Yes     Never
## 465 25.52964     Yes 139.0   77   57  67  No Yes    Smoker
## 466 22.89282      No 202.0  121   31 207 Yes  No     Never
## 467 24.81633      No 205.0  106   34 246  No  No    Smoker
## 468 20.61925      No 186.0  144   34  53  No  No    Smoker
## 469 23.03005      No 182.0  119   49  48  No Yes     Never
## 470 27.88519     Yes 232.0  132   60 132 Yes Yes     Never
## 471 18.26150      No 170.0   85   20 311 Yes Yes     Never
## 472 26.98962     Yes 188.0  126   39 173  No  No    Smoker
## 473 16.41531      No 143.0   99   27  75 Yes  No    Smoker
## 474 22.05805      No 261.0  189   43 104  No  No Ex-smoker
## 475 21.20311      No 183.0   86   65 115  No  No    Smoker
## 476 24.22145      No 185.0  103   34 155 Yes Yes Ex-smoker
## 477 26.64360     Yes  91.0   50   26  70  No Yes Ex-smoker
## 478 23.66524      No 122.0   65   47  11  No Yes Ex-smoker
## 479 23.43750      No 161.0  114   32  61  No Yes     Never
## 480 22.31328      No 182.0  109   52  30  No Yes     Never
## 481 25.95156     Yes 147.0   93   38  74  No  No Ex-smoker
## 482 21.46194      No 157.0  122   22  70  No  No    Smoker
## 483 23.05175      No 184.0  136   32 135  No Yes Ex-smoker
## 484 26.44628     Yes  98.0   52   29  60 Yes Yes Ex-smoker
## 485 20.76125      No 163.0   96   38 170 Yes Yes    Smoker
## 486 26.44628     Yes 173.0  117   36  44 Yes Yes     Never
## 487 24.67105      No 190.0  100   38 125  No Yes Ex-smoker
## 488 27.76710     Yes    NA   NA   NA  NA  No  No     Never
## 490 20.82094      No 214.0  120   46  53  No  No     Never
## 491 25.51020     Yes 195.0  128   42  64  No Yes     Never
## 492 29.05329     Yes 188.0   75   35 619 Yes Yes    Smoker
## 493 26.64360     Yes 116.0   83   23  41  No Yes Ex-smoker
## 494 29.05475     Yes 261.0  208   28  98  No  No    Smoker
## 495 25.46939     Yes 177.0  131   32 104  No Yes     Never
## 496 22.95918      No 149.0  104   26  54  No Yes    Smoker
## 497 22.86253      No 186.0   92   44  93  No  No     Never
## 498 38.44675     Yes 181.0  116   51  72 Yes  No     Never
## 499 25.46198     Yes 131.0   76   39  58 Yes Yes    Smoker
## 500 24.91990      No 140.0   53   10  31  No  No     Never
## 501 24.08822      No 200.0  143   40  65 Yes Yes Ex-smoker
## 502 19.14672      No 197.0  112   51  81  No Yes    Smoker
## 503 26.44628     Yes 122.0   73   26  80 Yes Yes     Never
## 504 24.84098      No 162.0  102   44  81  No  No Ex-smoker
## 505 22.38631      No 151.0   90   45  49  No  No     Never
## 506 26.39580     Yes 163.0   91   25 219  No  No    Smoker
## 507 21.30395      No 154.0   60   60 139  No  No    Smoker
## 508 28.51562     Yes    NA   NA   NA  NA  No  No     Never
## 510 23.04002      No 153.0   92   46  62 Yes Yes    Smoker
## 511 17.14678      No 128.0   65   44  45  No  No    Smoker
## 512 31.21748     Yes 245.0  184   52  41 Yes  No     Never
## 513 25.40282     Yes 255.0  152   46 312 Yes Yes    Smoker
## 514 26.48554     Yes 126.0   66   30 123 Yes Yes    Smoker
## 515 26.72287     Yes 183.0  125   35 129  No  No    Smoker
## 516 22.22222      No 163.0  103   47  29  No Yes     Never
## 517 26.02617     Yes 203.0   94   19 458  No Yes    Smoker
## 518 25.52964     Yes 233.0  163   41 138 Yes Yes     Never
## 519 24.74745      No 165.0  100   32 129 Yes Yes     Never
## 520 33.67347     Yes 236.0  144   60 189 Yes Yes    Smoker
## 521 29.90303     Yes 194.0  133   43 257  No Yes Ex-smoker
## 522 22.07108      No 207.0  158   25 106  No Yes     Never
## 523 25.71166     Yes 141.0   69   54 153 Yes Yes     Never
## 524 26.03749     Yes  32.0  100    4  66 Yes Yes     Never
## 525 23.42209      No 226.0  150   40 128  No Yes    Smoker
## 526 23.42209      No 188.0  117   49 128  No Yes    Smoker
## 527 25.21625     Yes 196.0  136   21 180  No Yes    Smoker
## 528 25.63692     Yes 225.0  164   39 127 Yes Yes     Never
## 529 20.56933      No 189.0  105   58  66  No Yes    Smoker
## 530 32.87197     Yes 182.0  142   40  99 Yes Yes    Smoker
## 531 27.68166     Yes 217.0  159   34 143  No Yes    Smoker
## 533 26.57313     Yes 185.0   80   33 318  No Yes     Never
## 534 22.66667      No 296.0   93   26 393 Yes Yes Ex-smoker
## 535 25.95156     Yes 198.0  123   40 165 Yes  No    Smoker
## 536 22.98540      No 191.0  122   46  53  No  No    Smoker
## 537 29.06977     Yes 351.0  270   35 194  No  No    Smoker
## 538 21.78649      No 151.0   81   55  45  No  No     Never
## 539 22.65625      No 178.0  109   48  36  No Yes Ex-smoker
## 540 27.41445     Yes 181.0  124   30  92  No Yes     Never
## 541 18.59113      No 207.0  141   48  69  No  No Ex-smoker
## 542 24.30462      No 223.0  136   46 247 Yes Yes     Never
## 543 17.75148      No 177.0  105   35  56  No  No    Smoker
## 544 26.72287     Yes 191.0  116   41 112  No Yes Ex-smoker
## 545 25.96953     Yes 162.0   99   39 115  No Yes    Smoker
## 546 23.53037      No 178.0  121   25 165  No Yes Ex-smoker
## 547 30.48316     Yes 183.0  110   46 143 Yes Yes    Smoker
## 548 30.35925     Yes 161.0   75   33 187  No Yes     Never
## 549 22.32143      No 204.0  136   46 115  No Yes     Never
## 550 27.99036     Yes 159.0  102   30  80  No Yes Ex-smoker
## 551 23.33547      No 344.0   71   30 217  No Yes Ex-smoker
## 552 23.87511      No 184.0  126   39 101 Yes  No    Smoker
## 553 23.73996      No 207.0  101   48 168 Yes  No     Never
## 554 22.30815      No 152.0   64   58 151  No  No    Smoker
## 555 24.60973      No 177.0  123   41  66  No Yes     Never
## 556 21.33333      No 195.0  121   40 145  No Yes     Never
## 557 27.14158     Yes 315.0  235   55 100  No  No    Smoker
## 559 22.65625      No 198.0  138   35 110  No  No    Smoker
## 560 21.42857      No 200.0  135   44 103  No  No     Never
## 561 26.91273     Yes 151.0   82   31 143 Yes  No Ex-smoker
## 562 21.35931      No 275.0  178   45  87  No Yes     Never
## 563 21.61281      No 246.0   64   29 801 Yes  No Ex-smoker
## 564 26.98962     Yes 197.0  144   26 166 Yes Yes     Never
## 565 24.03461      No 238.0  152   44 192 Yes Yes     Never
## 566 18.36900      No 170.0  105   44  57  No Yes     Never
## 567 25.68956     Yes 123.0   70   35 109  No Yes    Smoker
## 568 18.80787      No 293.0  151   42 454  No Yes     Never
## 569 21.96712      No 246.0  178   44 146 Yes  No    Smoker
## 570 24.08822      No 196.0  126   33 182  No  No    Smoker
## 571 25.80645     Yes 216.0  143   16 168 Yes Yes     Never
## 572 21.36752      No 248.0  174   46 200 Yes Yes    Smoker
## 573 24.21875      No 192.0   68   23 459  No  No    Smoker
## 574 29.33333     Yes 230.0  155   49  91  No  No    Smoker
## 575 23.60128      No 198.0  108   38 268 Yes Yes     Never
## 576 20.42942      No 204.0  124   47 110  No Yes     Never
## 577 26.02264     Yes 214.0  140   43  76 Yes Yes     Never
## 578 24.91990      No 204.0  108   53 170 Yes Yes Ex-smoker
## 580 23.52941      No 158.0  104   31  64  No Yes    Smoker
## 581 22.65625      No 102.0   55   34  89  No  No    Smoker
## 582 25.72103     Yes 205.0  143   33 117  No  No     Never
## 583 27.58621     Yes 246.0  175   39 110 Yes Yes     Never
## 584 24.16327      No 246.0  174   45 165  No Yes Ex-smoker
## 585 26.64360     Yes 104.0   27   84  81  No  No Ex-smoker
## 586 19.92513      No 136.0   63   42  78  No Yes     Never
## 587 22.67574      No 230.0  173   32  86  No  No    Smoker
## 588 24.33748      No 186.0  148   36  67  No Yes    Smoker
## 589 16.33038      No 199.0  113   58  58 Yes  No    Smoker
## 590 23.49524      No 228.0  116   67  68 Yes Yes Ex-smoker
## 591 16.33038      No 164.0   99   40  91 Yes  No Ex-smoker
## 592 26.03749     Yes 190.0  118   29 153  No Yes Ex-smoker
## 594 29.82325     Yes 161.0   83   50 108 Yes  No     Never
## 595 25.68956     Yes 198.0  104   57 106  No Yes     Never
## 596 19.11111      No 137.0   95   20 104  No Yes     Never
## 597 17.77778      No 196.0  194   44 171  No Yes     Never
## 598 20.70082      No 141.0   74   50  52  No Yes    Smoker
## 599 25.82645     Yes 293.0  200   34 137 Yes Yes    Smoker
## 600 24.80159      No 192.0  140   36  99  No  No Ex-smoker
## 601 24.97399      No 183.0  124   43 154  No Yes     Never
## 602 21.33333      No 149.0   83   44  51  No Yes     Never
## 603 19.67517      No 286.0  188   62 104 Yes  No     Never
## 604 20.51913      No 182.0  107   37  78  No Yes     Never
## 605 23.56663      No 231.0  192   29 144  No  No    Smoker
## 606 22.83737      No 154.0   76   38 177 Yes Yes Ex-smoker
## 607 22.77319      No 190.0  125   24  91 Yes  No     Never
## 608 24.60938      No 177.0  104   45  78  No  No    Smoker
## 609 29.41176     Yes 134.0   81   31 102 Yes  No Ex-smoker
## 610 32.04588     Yes 195.0  132   47  65 Yes  No Ex-smoker
## 611 29.21841     Yes 173.0  103   40 182  No Yes Ex-smoker
## 612 22.12974      No 206.0   98   72 231  No Yes     Never
## 613 27.65625     Yes 190.0  137   28 110  No Yes Ex-smoker
## 614 26.83865     Yes 165.0   93   30 194  No Yes     Never
## 615 26.22222     Yes 154.0   97   35 109 Yes Yes     Never
## 616 24.24242      No 221.0  137   52  95 Yes Yes Ex-smoker
## 617 28.88889     Yes 261.0  194   51  99 Yes Yes     Never
## 618 15.61570      No 240.0  109   49  54  No Yes    Smoker
## 619 15.61570      No 197.0  122   49  54  No Yes    Smoker
## 620 24.44180      No 144.0   88   37 129  No  No     Never
## 621 24.91349      No 194.0  144   32  55  No Yes    Smoker
## 622 25.45807     Yes 221.0  145   37  92  No  No    Smoker
## 623 23.55556      No 244.0  170   34  51  No Yes Ex-smoker
## 624 24.44728      No 150.0   85   38 148  No Yes    Smoker
## 625 23.80869      No 147.0   78   32 173 Yes  No    Smoker
## 626 26.83865     Yes 271.0  189   53  94  No Yes     Never
## 627 23.33768      No 222.0  158   51  98  No Yes    Smoker
## 629 24.80159      No 273.0  216   29 152  No  No    Smoker
## 630 19.72104      No 184.0  115   45  44  No  No Ex-smoker
## 631 20.40816      No 200.0  137   34 101 Yes  No     Never
## 632 26.31464     Yes 170.0   96   51  91 Yes Yes     Never
## 633 24.44728      No 234.0  156   43 119  No  No     Never
## 634 28.57143     Yes 116.0   50   35 219  No Yes     Never
## 635 21.64127      No 208.0  201   40 406  No  No    Smoker
## 636 24.12175      No 224.0  156   40 141 Yes Yes     Never
## 637 41.22626     Yes 292.0  210   36 332 Yes  No    Smoker
## 638 25.10957     Yes 189.0  118   39 124  No Yes     Never
## 639 19.72104      No 178.0  100   51  73  No  No Ex-smoker
## 640 29.38468     Yes 241.0  157   57  68  No Yes Ex-smoker
## 641 25.78125     Yes 120.0   67   39  72  No  No    Smoker
## 642 28.01022     Yes 119.0   66   34  39  No Yes     Never
## 643 21.48438      No 166.0   82   53  64 Yes Yes     Never
## 644 27.06405     Yes 224.0  189   35  56  No Yes    Smoker
## 645 24.80159      No 174.0  118   37 112  No Yes    Smoker
## 646 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 647 27.96802     Yes 239.0  131   50 219  No  No Ex-smoker
## 648 25.23634     Yes 166.0  111   34  62  No  No     Never
## 649 22.22222      No 164.0  115   38  86  No  No Ex-smoker
## 650 27.34375     Yes 227.0  140   35 221 Yes Yes    Smoker
## 651 19.48696      No 166.0   93   34  34  No  No Ex-smoker
## 652 21.96712      No 215.0  134   32 241  No  No    Smoker
## 653 31.24605     Yes 120.0   55   19 225  No  No     Never
## 654 24.99890      No 263.0  183   42  80  No Yes     Never
## 655 26.56434     Yes 181.0  111   36 179  No  No     Never
## 656 23.43750      No 145.0  115   34  54  No  No    Smoker
## 657 27.11111     Yes 203.0  126   42  50 Yes Yes     Never
## 658 23.49524      No 234.0  198   54  77 Yes Yes     Never
## 659 33.44382     Yes 186.0  114   39  96  No  No    Smoker
## 660 22.59814      No 235.0  183   33  93  No  No     Never
## 661 24.03461      No 124.0   70   30 131 Yes Yes     Never
## 662 19.22338      No 189.0  125   47  40  No Yes     Never
## 663 19.95936      No 136.0   85   38  57  No Yes    Smoker
## 664 22.20633      No 207.0  140   26 105 Yes Yes    Smoker
## 665 21.98989      No 300.0  227   38 136  No  No    Smoker
## 666 21.45357      No 194.0  110   60  48  No  No Ex-smoker
## 667 19.48696      No 128.0   71   31  87  No  No     Never
## 669 24.21875      No 157.0   72   46 247 Yes Yes     Never
## 670 21.84701      No 251.0  122   44 450 Yes Yes    Smoker
## 671 26.29758     Yes 225.0  140   24 283  No  No Ex-smoker
## 672 20.51509      No 212.0  159   40  45  No  No    Smoker
## 673 26.95984     Yes 131.0   81   23 150  No Yes    Smoker
## 674 24.60973      No 158.0  107   33 165  No Yes    Smoker
## 675 23.87511      No 199.0  147   43  41  No  No     Never
## 676 25.63692     Yes 279.0  168   38 283 Yes  No     Never
## 677 24.02381      No 143.0   86   19 232 Yes  No     Never
## 678 18.59012      No 131.0   67   49  67  No  No Ex-smoker
## 679 25.30864     Yes 138.0   46   47  34  No  No Ex-smoker
## 680 19.55556      No 171.0   98   44  82 Yes Yes     Never
## 681 30.04082     Yes 297.0  125   33 584 Yes Yes Ex-smoker
## 682 23.05456      No 229.0  159   51 105 Yes  No    Smoker
## 683 24.15882      No 130.0  150   29 193 Yes Yes Ex-smoker
## 684 26.17188     Yes 170.0  115   40  39  No  No Ex-smoker
## 685 26.17519     Yes 169.0   77   28 377  No  No    Smoker
## 686 22.06035      No 262.0  162   41 261  No Yes    Smoker
## 688 27.58020     Yes 248.0  168   38 310  No Yes    Smoker
## 689 25.39022     Yes 240.0  161   58  74  No  No Ex-smoker
## 690 25.51020     Yes 175.0   96   34 219 Yes  No    Smoker
## 692 23.43750      No 199.0  141   29 161  No Yes     Never
## 693 23.12467      No 231.0   97   29  84  No Yes     Never
## 694 24.15882      No 136.0   78   27 164 Yes  No    Smoker
## 695 21.35991      No 157.0   85   46  75  No  No     Never
## 697 27.39226     Yes 186.0  134   33  96  No Yes Ex-smoker
## 698 25.92593     Yes 267.0  164   31 365 Yes  No    Smoker
## 699 23.18339      No 195.0  118   25 235 Yes  No    Smoker
## 700 17.64706      No 181.0  129   38  33  No Yes    Smoker
## 701 26.07897     Yes 251.0  166   36 246  No Yes Ex-smoker
## 702 18.68512      No 158.0  115   33  59  No  No    Smoker
## 703 27.58621     Yes 231.0  118   42 279  No Yes     Never
## 705 23.28342      No 157.0   90   32 161  No Yes     Never
## 706 28.53746     Yes 167.0   84   34  84  No Yes Ex-smoker
## 707 31.11111     Yes 204.0  139   27 139 Yes Yes     Never
## 708 22.43230      No 222.0  171   36  50  No Yes     Never
## 709 22.85714      No 171.0   94   46 124  No  No     Never
## 710 27.18090     Yes 221.0  157   36 183 Yes  No    Smoker
## 711 20.20202      No 181.0  124   45 143 Yes Yes    Smoker
## 712 23.43750      No 126.0   52   41 156 Yes  No     Never
## 713 23.18339      No 179.0  108   31 237 Yes Yes Ex-smoker
## 715 22.14533      No 204.0  105   28 304  No  No     Never
## 717 25.68956     Yes 108.0   63   31  53 Yes Yes Ex-smoker
## 718 27.85201     Yes 138.0   80   30 141  No  No    Smoker
## 719 26.56250     Yes 220.0  149   45 119 Yes  No     Never
## 720 25.90946     Yes 200.0  134   56 177 Yes Yes     Never
## 721 25.90946     Yes 197.0  130   36 177 Yes  No     Never
## 722 20.76125      No 132.0   75   37  63  No Yes    Smoker
## 724 25.18079     Yes 160.0   97   31 101  No  No     Never
## 734 23.45679      No 263.0  191   35 133  No  No    Smoker
## 740 22.37568      No 203.0  134   42 125  No Yes    Smoker
## 741 26.67276     Yes 267.0  170   55  89  No Yes     Never
## 743 31.74179     Yes 254.0  185   31 191 Yes  No    Smoker
## 744 26.42357     Yes 166.0   88   43 134  No Yes    Smoker
## 745 21.45329      No 253.0  162   44 149  No  No    Smoker
## 746 27.53123     Yes 194.0  113   55  80  No Yes     Never
## 747 26.83865     Yes 145.0   98   26  82 Yes Yes Ex-smoker
## 748 22.79033      No 246.0  193   33 100  No  No    Smoker
## 749 21.51386      No 177.0  117   46  64 Yes Yes    Smoker
## 754 23.58833      No 173.0  101   36  91 Yes Yes     Never
## 763 24.80159      No  61.0   32   22  32  No  No    Smoker
## 764 19.90997      No 139.0   68   42  89  No  No    Smoker
## 765 23.87511      No 209.0  137   40 110  No  No     Never
## 766 25.76298     Yes 213.0   78   23 877 Yes  No    Smoker
## 767 27.85201     Yes 210.0   64   25 549 Yes Yes     Never
## 768 22.98540      No 104.0   64   27  37  No  No Ex-smoker
## 769 21.45329      No 225.0  155   26 208  No Yes    Smoker
## 772 26.44628     Yes 191.0  142   24 180  No  No Ex-smoker
## 775 24.88281      No 238.0  163   43 123 Yes Yes Ex-smoker
## 784 26.83865     Yes 191.0   84   27 429  No Yes     Never
## 785 23.80869      No 118.0   61   40 122  No  No    Smoker
## 787 21.35780      No 215.0  147   50  74  No Yes     Never
## 789 22.94812      No 222.0  277   47  49  No  No     Never
## 790 30.91558     Yes 123.0   60   34  89 Yes Yes Ex-smoker
## 792 23.30668      No  98.0   47   27 101  No  No    Smoker
## 794 22.58955      No 175.0   95   37 353  No Yes    Smoker
## 796 28.18760     Yes 208.0  128   36 199 Yes Yes     Never
## 797 26.53376     Yes    NA   NA   NA 269 Yes Yes     Never
## 798 24.48980      No 181.0   98   48 156  No Yes     Never
## 806 22.80602      No 174.0   93   29 163  No  No     Never
## 808 26.72154     Yes 169.0  124   33 145  No  No     Never
## 809 25.54491     Yes 261.0  165   40  65  No Yes     Never
## 810 26.14269     Yes 150.0   78   44 129 Yes  No     Never
## 811 23.87543      No 204.0  142   27 108  No Yes    Smoker
## 812 20.63883      No 177.4   81   38  92  No  No     Never
## 813 22.03857      No 245.0  119   89  25  No  No    Smoker
## 814 24.97399      No 119.0   43   46  76  No Yes     Never
## 815 24.24392      No 234.0  160   50 244  No Yes     Never
## 816 20.04745      No 214.0  132   41  80 Yes  No     Never
## 817 18.93700      No 178.0  114   33 103 Yes  No    Smoker
## 818 21.64127      No 227.0  150   42 175  No Yes     Never
## 819 21.25850      No 206.0  154   28 172 Yes Yes Ex-smoker
## 820 27.63605     Yes 155.0   95   29 120 Yes  No    Smoker
## 821 28.04282     Yes 243.0  140   36 275 Yes Yes    Smoker
## 822 20.50493      No 186.0  102   49 138  No Yes     Never
## 823 23.14050      No 143.0   82   29 119 Yes Yes     Never
## 824 27.35885     Yes 141.0   65   41 123  No  No     Never
## 825 21.10727      No 225.0  155   26 208  No Yes    Smoker
## 826 28.72679     Yes 244.0  160   33 266  No  No    Smoker
## 827       NA      No 123.0   70   28 158  No  No Ex-smoker
## 828 32.87197     Yes 197.0  113   41 166  No Yes Ex-smoker
## 829 24.14152      No 159.0   83   13  58  No Yes     Never
## 830 22.22222      No 181.0  139   30  70  No Yes     Never
## 831 31.60321     Yes 166.0   62   47 235 Yes Yes Ex-smoker
## 832       NA      No 152.0   83   45 138 Yes Yes     Never
## 833 29.40227     Yes 169.0  114   28 103  No Yes     Never
## 835 25.71166     Yes 186.0  119   47  93  No Yes Ex-smoker
## 836 25.33284     Yes 130.0   73   45  88 Yes Yes     Never
## 837 23.06667      No 186.0  117   46  63 Yes Yes     Never
## 838 28.32031     Yes 157.0  100   28 134  No Yes     Never
## 839 22.53401      No 182.0  110   33 195  No  No     Never
## 840 24.72946      No 247.0  170   41 124  No  No    Smoker
## 841 23.99946      No 129.0   63   45  47  No  No     Never
## 843 24.56747      No 181.0  121   29 102  No Yes     Never
## 844 28.47989     Yes 174.0   91   42 151  No Yes     Never
## 845 23.66144      No 115.0   65   38  79 Yes  No     Never
## 846 25.81663     Yes 172.0   92   47 158  No Yes     Never
## 848 30.81125     Yes 150.0  111   23 108  No Yes     Never
## 849 22.10029      No 182.0  102   61  91  No Yes     Never
## 850 29.21011     Yes 169.0  116   27 135  No Yes     Never
## 851 21.35780      No 215.0  147   50  74  No Yes     Never
## 853 28.38652     Yes 336.0  224   61 137  No Yes     Never
## 854 24.81994      No 232.0  153   41 182  No Yes     Never
## 855 24.03461      No 178.4  130   29  97 Yes Yes     Never
## 856 26.29849     Yes 177.2  107   36 286 Yes Yes     Never
# 3. 대치 : 
# 3_1. 해당칼럼인덱싱 + na 아닌것들만 ! is.na()로 행인덱싱한  + 칼럼인덱싱 한 뒤,  평균값을 구하기
mean(   acs[ !is.na(acs$weight), "weight" ]   )
## [1] 64.84373
# 3-2. na.rm=T옵션을 이용해서 na제외 해당칼럼의 평균 빠르게 구하기 ***
mean( acs$weight, na.rm=T )
## [1] 64.84373
# 3_2. 조건부 대치 -> 행인덱싱자리에 !is.na(칼럼인덱싱)+ 특정범주 조건을 추가한다.
mean(   acs[ !is.na(acs$weight) & acs$sex =="Female" , "weight" ]    )
## [1] 57.2293
# 4. 결측치 Multiple Imputation (다중대체) : 결측값에 대한 반복 시뮬레이션
# 4_1. 시드고정
set.seed(42)
# 4_2. m = 5 ~ 10, 5~10개의 결측치를 채운 데이터셋을 만든다.
#     이때, 범주형 변수 2개 -> 로지스틱regression,  
#           범주형 변수 3개이상 -> polyregression
#           연속형 변수 ->  리니어regression
#           by 몬테카를로 방법으로 결측데이터를 채운다.
# mice()는 m개의 imputed data를 만들고
# with()는 결과를 분석하고
# pool()은 마지막으로 m개의 데이터셋을 하나의 dataset으로 결합한다. 
# 마지막 dataset의 표준오차와 p값은 결측값-다중대체에 의해 생긴 불확실성을 반영한다.
imputed = mice(acs, m=5) # 5개의 다중대체된 데이터셋 생성
## 
##  iter imp variable
##   1   1  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   1   2  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   1   3  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   1   4  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   1   5  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   2   1  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   2   2  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   2   3  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   2   4  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   2   5  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   3   1  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   3   2  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   3   3  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   3   4  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   3   5  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   4   1  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   4   2  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   4   3  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   4   4  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   4   5  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   5   1  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   5   2  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   5   3  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   5   4  EF  height  weight  BMI  TC  LDLC  HDLC  TG
##   5   5  EF  height  weight  BMI  TC  LDLC  HDLC  TG
## Warning: Number of logged events: 8
imputed$imp # 결측되었던 row index + 1번~5번까지 dataset에서 대체한 값을 나열
## $age
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $sex
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $cardiogenicShock
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $entry
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $Dx
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $EF
##        1    2    3    4    5
## 724 64.9 60.5 47.6 66.2 60.1
## 725 34.4 59.9 69.1 35.5 57.3
## 726 49.5 58.0 61.0 67.7 42.5
## 727 53.0 65.0 48.0 43.2 59.0
## 728 48.8 44.9 38.5 65.4 56.7
## 729 59.5 42.5 58.6 54.6 64.0
## 730 31.1 61.8 65.0 58.2 31.5
## 731 38.4 55.1 66.0 66.5 56.5
## 732 66.0 69.1 45.0 41.7 45.6
## 733 66.7 48.7 61.6 56.3 59.8
## 734 61.8 38.8 45.3 35.4 44.0
## 735 58.1 54.9 58.4 71.9 62.9
## 736 56.8 41.8 42.1 61.6 56.2
## 737 55.4 60.2 55.8 48.6 58.7
## 738 47.4 70.2 59.0 64.5 61.0
## 739 66.7 53.0 66.5 58.0 67.6
## 740 63.1 63.8 58.1 47.3 61.5
## 741 57.2 63.3 48.3 54.0 70.0
## 742 59.3 60.4 28.5 48.2 54.8
## 743 61.0 59.0 58.8 48.9 46.9
## 744 59.2 47.8 71.6 56.8 62.7
## 745 50.1 52.6 47.0 34.6 46.5
## 746 58.0 56.2 45.8 61.0 62.2
## 747 56.9 62.8 66.3 61.0 42.5
## 748 61.6 60.1 42.5 44.8 62.8
## 749 45.0 40.9 60.7 61.0 49.1
## 750 62.2 45.0 53.6 50.3 61.4
## 751 61.7 58.8 56.0 48.9 59.9
## 752 52.0 67.0 60.1 54.8 58.4
## 753 56.0 45.4 39.0 59.1 49.5
## 754 63.7 55.7 64.8 62.2 58.1
## 755 60.0 65.7 65.0 44.6 69.0
## 756 52.0 57.6 59.6 61.0 58.9
## 757 62.7 42.0 48.0 47.4 61.5
## 758 66.4 48.6 55.8 58.3 63.8
## 759 61.5 60.0 49.0 60.0 58.3
## 760 56.6 46.8 49.9 43.2 46.6
## 761 50.4 49.3 69.9 54.8 66.4
## 762 52.0 34.5 69.1 42.8 66.4
## 763 71.9 55.2 79.0 51.9 34.4
## 764 36.8 42.7 65.0 45.7 49.7
## 765 55.6 36.8 63.4 61.3 33.1
## 766 55.0 58.5 63.0 61.7 67.1
## 767 67.2 58.8 63.0 52.0 59.9
## 768 47.3 69.1 69.1 39.4 26.6
## 769 56.9 46.8 42.5 61.4 60.6
## 770 61.0 52.9 66.0 47.4 52.4
## 771 32.0 44.0 49.3 53.5 56.2
## 772 65.7 55.7 56.8 68.0 67.4
## 773 74.0 60.7 56.0 56.5 70.0
## 774 31.1 62.7 59.5 49.3 65.0
## 775 60.0 62.4 68.4 64.5 54.8
## 776 42.5 45.9 60.2 34.6 62.8
## 777 21.8 46.8 45.0 63.5 66.9
## 778 47.2 34.5 65.7 61.5 56.2
## 779 53.2 61.0 40.4 58.1 68.4
## 780 63.3 73.0 61.0 64.8 56.0
## 781 50.0 79.0 49.5 57.3 35.7
## 782 69.0 61.5 47.8 68.2 45.6
## 783 60.7 46.6 45.5 34.6 26.6
## 784 59.0 55.7 56.5 66.5 46.9
## 785 61.0 54.8 63.7 55.0 58.1
## 786 62.8 49.3 59.4 37.9 45.4
## 787 54.8 61.0 49.0 48.2 54.2
## 788 48.8 49.0 40.0 35.6 45.6
## 789 59.5 66.4 45.0 58.1 52.2
## 790 42.5 48.2 62.7 60.2 58.0
## 791 65.0 35.6 56.2 56.3 59.3
## 792 58.0 58.0 20.0 66.1 55.9
## 793 65.0 59.2 65.0 63.4 65.3
## 794 59.3 60.0 59.8 63.8 67.5
## 795 67.2 59.4 51.9 58.0 60.0
## 796 54.8 52.4 61.8 57.7 56.7
## 797 65.7 56.3 67.7 60.6 68.6
## 798 61.9 59.5 62.4 66.0 49.0
## 799 63.0 35.5 59.2 55.0 64.6
## 800 63.7 58.0 63.3 56.1 57.2
## 801 66.1 73.0 60.8 44.0 61.8
## 802 56.2 60.0 61.6 54.0 45.8
## 803 40.9 62.0 58.7 68.0 62.8
## 804 40.2 50.3 61.8 55.9 79.0
## 805 52.0 54.5 56.1 47.3 56.7
## 806 69.0 65.5 53.8 61.0 64.5
## 807 48.3 61.0 48.1 21.8 67.6
## 808 24.7 62.6 56.2 64.9 63.3
## 809 54.3 61.4 55.3 35.7 48.6
## 810 61.2 43.2 45.8 56.3 70.0
## 811 55.0 55.9 61.8 60.7 57.9
## 812 56.0 53.0 58.1 41.3 51.3
## 813 45.0 66.3 52.2 62.4 50.4
## 814 42.7 65.5 40.4 59.5 61.2
## 815 34.0 64.9 55.1 70.2 61.8
## 816 53.2 61.6 49.5 61.7 51.5
## 817 46.6 49.3 45.0 54.7 56.0
## 818 32.0 56.4 58.7 55.1 70.0
## 819 60.2 38.8 20.0 58.1 41.8
## 820 56.0 55.5 62.0 64.7 52.9
## 821 65.0 58.7 68.6 52.0 66.7
## 822 71.9 54.9 61.5 59.7 50.3
## 823 40.2 61.0 58.2 62.2 68.2
## 824 22.0 62.7 49.0 58.6 54.8
## 825 58.4 42.5 58.0 61.3 78.1
## 826 68.6 62.8 68.6 65.9 68.6
## 827 56.0 47.0 64.3 47.3 62.2
## 828 60.0 55.0 46.9 59.5 40.0
## 829 57.7 55.8 55.7 66.9 45.0
## 830 60.0 62.7 61.0 49.0 32.0
## 831 58.0 61.4 65.3 63.5 61.6
## 832 64.6 39.0 54.2 44.1 66.4
## 833 59.5 55.6 62.0 63.6 56.2
## 834 60.0 47.0 59.1 63.4 58.7
## 835 58.9 40.2 59.7 44.0 55.4
## 836 56.3 58.9 51.6 53.6 56.0
## 837 66.1 46.4 61.6 47.3 43.3
## 838 69.0 36.5 61.9 61.0 56.2
## 839 49.0 51.5 60.1 58.9 63.3
## 840 66.0 66.9 58.7 49.0 55.6
## 841 56.0 45.5 34.6 63.9 61.8
## 842 31.1 49.3 56.5 45.6 43.3
## 843 54.9 50.5 65.6 58.1 65.0
## 844 41.0 18.0 56.0 64.2 47.6
## 845 57.8 39.0 51.5 64.8 61.0
## 846 57.2 59.0 24.7 62.4 61.7
## 847 63.4 42.1 65.0 45.6 59.6
## 848 61.6 55.8 58.6 58.5 62.6
## 849 45.0 51.6 52.4 55.8 47.4
## 850 40.2 63.4 56.0 57.3 59.3
## 851 55.0 48.7 66.4 56.1 36.8
## 852 58.9 34.4 39.0 43.0 42.1
## 853 59.4 65.0 61.6 53.7 60.2
## 854 61.8 62.6 55.5 40.4 55.1
## 855 64.3 32.0 60.2 63.7 55.8
## 856 24.7 56.8 56.0 60.4 59.0
## 857 44.3 43.0 66.0 52.8 58.0
## 
## $height
##       1     2   3   4     5
## 3   168 160.0 170 167 155.0
## 16  130 170.0 174 176 168.0
## 18  168 175.0 167 169 154.0
## 89  153 158.0 155 178 157.0
## 102 174 148.0 171 170 172.0
## 108 175 170.0 173 174 177.0
## 117 153 150.0 170 170 168.0
## 136 175 178.0 170 177 140.0
## 220 157 154.0 172 151 155.0
## 243 172 178.0 174 170 141.0
## 279 170 170.0 167 179 153.0
## 283 141 173.0 130 172 168.0
## 329 130 178.0 150 151 150.0
## 350 150 140.0 153 175 179.0
## 383 148 168.0 162 169 148.0
## 393 130 184.0 152 178 168.0
## 405 135 155.0 170 159 156.0
## 439 160 155.0 168 178 145.0
## 454 140 175.0 149 178 164.0
## 489 140 130.0 174 173 172.0
## 509 173 140.0 160 167 155.0
## 532 158 161.0 167 150 156.0
## 558 176 171.0 145 175 172.0
## 579 155 160.0 153 164 174.0
## 593 173 176.0 160 170 167.0
## 628 174 151.0 180 169 167.0
## 668 164 150.0 141 150 178.0
## 687 141 170.0 178 180 171.0
## 691 178 155.0 169 155 160.0
## 696 141 140.0 175 174 165.0
## 704 172 157.0 180 148 160.0
## 714 149 150.0 177 175 144.0
## 716 169 171.0 162 153 162.5
## 723 165 152.0 173 174 179.0
## 725 177 130.0 165 165 150.0
## 726 162 153.0 176 172 141.0
## 727 166 153.0 140 169 158.0
## 728 172 175.0 157 177 173.0
## 729 168 184.0 145 168 150.0
## 730 164 140.0 165 161 140.0
## 731 151 148.0 164 160 148.0
## 732 178 171.0 170 157 170.0
## 733 140 168.0 158 162 169.0
## 735 172 165.0 143 170 159.0
## 736 170 171.0 150 141 169.0
## 737 168 157.0 156 175 165.0
## 738 167 140.0 165 174 170.0
## 739 148 148.0 145 156 165.0
## 742 149 150.0 170 150 173.0
## 750 170 145.0 140 160 176.0
## 751 170 170.0 161 180 150.0
## 752 172 175.0 170 170 140.0
## 753 150 149.0 168 155 174.0
## 755 151 142.5 170 154 140.0
## 756 150 140.0 150 170 174.0
## 757 165 175.0 140 161 166.0
## 758 169 140.0 167 140 169.0
## 759 143 153.0 170 175 162.0
## 760 130 152.0 141 180 148.0
## 761 174 174.0 173 140 176.0
## 762 178 140.0 173 158 140.0
## 770 159 162.5 170 168 170.0
## 771 159 165.0 177 172 140.0
## 773 161 173.0 158 176 156.0
## 774 172 145.0 179 164 158.0
## 776 151 175.0 151 160 159.0
## 777 176 170.0 173 168 177.0
## 778 177 155.0 155 180 168.0
## 779 172 178.0 173 140 154.0
## 780 150 144.0 158 183 180.0
## 781 130 169.0 150 155 175.0
## 782 145 170.0 164 157 168.0
## 783 174 170.0 168 165 174.0
## 786 170 178.0 167 167 173.0
## 788 145 167.0 145 154 140.0
## 791 154 168.0 175 150 170.0
## 793 158 140.0 179 152 140.0
## 795 170 173.0 161 178 172.0
## 799 163 162.0 175 174 164.0
## 800 180 170.0 150 150 130.0
## 801 175 147.0 150 151 178.0
## 802 174 148.0 162 160 172.0
## 803 173 170.0 171 162 154.0
## 804 172 168.0 175 141 158.0
## 805 150 161.0 162 171 150.0
## 807 158 155.0 148 174 140.0
## 827 163 176.0 163 172 172.0
## 832 165 140.0 150 140 149.0
## 834 171 175.0 176 165 178.0
## 842 178 168.0 155 151 145.0
## 847 182 168.0 145 178 162.0
## 852 170 170.0 173 170 175.0
## 857 150 163.0 171 165 150.0
## 
## $weight
##        1     2      3    4      5
## 3   70.0  59.0  70.00 60.0  58.00
## 16  43.0  66.0  74.00 76.0  73.00
## 18  61.0  77.0  58.00 55.0  53.00
## 89  59.0  58.0  62.00 76.0  64.00
## 102 71.0  55.0  67.00 55.2  65.00
## 108 59.0  63.7  69.00 60.0  60.00
## 117 58.0  54.0  75.00 55.0  65.00
## 136 66.0  75.0  85.00 65.0  58.00
## 220 59.0  51.0  65.00 64.0  53.00
## 243 67.0  69.0  90.00 61.0  61.65
## 279 60.0  78.0  66.00 80.0  50.00
## 283 48.0  59.0  45.00 63.0  63.70
## 329 49.0  62.0  54.00 61.0  59.00
## 350 56.0  55.0  68.00 76.0  70.00
## 383 53.3  65.0  67.00 84.0  65.00
## 393 48.0 112.0  47.00 70.0  56.00
## 405 48.0  62.0  65.00 64.0  58.00
## 439 58.0  60.0  55.00 69.0  75.00
## 454 55.2  67.0  50.00 64.0  65.00
## 489 54.0  46.0  69.00 71.0  62.00
## 509 65.0  53.0  65.00 65.0  60.00
## 532 56.0  55.2  61.00 56.0  60.00
## 558 68.0  72.0  55.00 95.0  64.00
## 579 58.0  60.0  75.00 65.0  60.00
## 593 59.0  60.0  55.00 58.0  95.00
## 628 79.0  56.0  65.00 55.0  57.00
## 668 60.0  53.3  53.00 51.0  61.00
## 687 56.0  50.0  63.00 77.0  59.00
## 691 70.0  99.0  74.00 58.0  74.00
## 696 54.0  53.3  59.00 76.0  64.00
## 704 59.0  60.0  81.00 52.0  66.00
## 714 52.0  51.0  57.00 72.0  62.00
## 716 73.0  60.0  62.00 53.0  62.00
## 723 55.0  63.7  64.00 72.0  93.00
## 725 60.0  45.0  60.00 67.0  56.00
## 726 55.0  59.0  77.00 63.0  66.45
## 727 60.0  62.0  51.00 65.0  60.00
## 728 92.0  62.0  60.00 68.0  76.00
## 729 70.0  85.0  51.00 61.0  64.00
## 730 60.0  53.0  58.00 59.0  52.00
## 731 66.0  68.0  59.00 65.0  57.00
## 732 65.0  58.0  61.00 56.0  56.00
## 733 52.0  65.0  52.00 66.0  61.00
## 735 58.0  68.0  52.00 70.0  55.00
## 736 52.0  84.0  55.00 51.0  62.00
## 737 59.0  56.0  63.00 70.0  69.00
## 738 60.0  48.0  67.00 66.0  60.00
## 739 62.0  54.0  62.00 60.0  68.00
## 742 55.0  60.0  79.00 53.0  74.00
## 750 60.0  50.0  53.00 65.0  68.00
## 751 72.0  74.0  66.45 86.0  53.00
## 752 58.0  65.0  67.00 60.0  60.00
## 753 68.0  52.0  64.00 71.0  63.00
## 755 53.0  62.0  76.00 54.0  46.00
## 756 60.0  49.0  66.00 90.0  63.00
## 757 69.0  82.0  55.00 61.0  74.00
## 758 59.0  45.0  72.00 58.0  66.00
## 759 48.0  52.0  70.00 59.0  62.00
## 760 48.0  48.0  52.00 95.0  46.00
## 761 65.0  58.0  82.00 53.0  75.00
## 762 80.0  51.0  70.00 55.0  50.00
## 770 62.0  65.0  64.00 61.0  85.00
## 771 55.0  69.0  61.65 60.0  58.00
## 773 67.0  78.0  60.00 60.0  67.00
## 774 62.0  51.0 100.00 93.0  62.00
## 776 49.0  78.0  60.00 60.0  58.00
## 777 58.0  73.0  58.00 64.0  65.00
## 778 73.0  55.0  70.00 68.0  66.00
## 779 68.0  75.0  79.00 58.0  61.00
## 780 65.0  54.0  66.00 86.0  59.00
## 781 43.0  61.0  55.00 59.0  70.00
## 782 51.0  89.0  64.00 63.7  63.00
## 783 58.0  59.0  55.00 66.0  58.00
## 786 75.0  62.0  60.00 70.0  57.00
## 788 54.0  64.0  72.00 58.0  52.00
## 791 53.0  68.0  67.00 55.0  62.00
## 793 62.0  51.0  75.00 53.0  47.00
## 795 62.0  67.0  59.00 62.0  64.00
## 799 90.0  60.0  65.00 57.0  60.00
## 800 74.0  62.0  63.00 72.0  48.00
## 801 70.0  60.0  50.00 60.0  99.00
## 802 71.0  50.0  78.00 67.0  59.00
## 803 64.0  69.0  73.00 68.0  60.00
## 804 68.0  65.0  75.00 60.0  50.00
## 805 51.0  60.0  69.00 59.0  63.00
## 807 60.0  53.0  50.00 57.0  55.00
## 834 70.0  59.0  73.00 59.0  78.00
## 842 74.0  52.0  58.00 55.0  58.00
## 847 90.0  65.0  62.00 74.0  60.00
## 852 65.0  67.0  61.00 52.0 100.00
## 857 55.0  59.0  56.00 59.0  60.00
## 
## $BMI
##            1        2        3        4        5
## 3   24.72518 22.89282 24.31412 21.61281 24.22145
## 16  26.07897 22.86253 24.44444 24.67105 25.95156
## 18  21.51386 25.20398 20.90420 17.77778 22.67574
## 89  25.14861 23.38869 25.51020 24.16716 25.76298
## 102 23.43750 25.33333 23.03005 18.81892 22.05805
## 108 18.81892 21.35931 22.52151 18.73049 18.59012
## 117 24.80159 24.12175 26.15563 19.03114 23.05175
## 136 21.30395 23.71184 29.05475 20.02884 29.38468
## 220 23.93899 21.96712 21.35931 27.54821 21.92613
## 243 22.43230 21.41094 29.72652 21.25850 29.40227
## 279 20.56933 27.18090 23.37258 25.39062 21.96712
## 283 24.60973 19.92513 26.72287 21.25850 22.37568
## 329 27.96802 18.59012 24.21875 26.29758 26.07897
## 350 24.97399 28.30533 28.88889 24.97399 21.48438
## 383 24.38653 22.98540 25.21625 29.05475 29.21011
## 393 27.85201 33.44382 21.20311 22.12974 19.84127
## 405 26.34649 25.71166 22.49135 25.33333 23.83673
## 439 22.65625 24.85795 19.48696 21.61281 33.62209
## 454 27.54821 21.22789 22.83288 19.14672 24.21875
## 489 26.95984 27.47138 22.77319 23.49524 20.90420
## 509 20.54419 26.81359 24.78426 23.30109 24.81633
## 532 22.31328 21.51386 21.82995 24.77210 24.60938
## 558 21.97134 24.67105 26.07897 32.45568 21.61281
## 579 24.16716 23.58833 31.64062 24.21875 18.90204
## 593 18.90204 18.59012 21.48438 19.67517 32.87197
## 628 26.44628 24.74094 18.26150 19.37716 20.02884
## 668 21.40309 23.73996 26.12245 23.14050 19.03114
## 687 27.58020 17.91509 18.36900 23.60128 19.95936
## 691 20.40816 36.67820 26.14269 24.16327 28.65014
## 696 26.95312 26.95984 18.59012 25.33284 23.43750
## 704 19.72104 24.46460 25.39062 24.03461 25.51020
## 714 23.66524 23.24380 17.57812 23.52941 28.65014
## 716 25.72103 20.20202 23.42209 22.98540 23.19109
## 723 20.51913 26.82742 21.35780 23.87543 31.11111
## 725 18.59012 26.47211 22.12974 24.60938 24.97399
## 726 21.25850 25.39062 24.81994 21.46194 33.67347
## 727 21.35931 26.25958 25.76298 22.22222 24.15882
## 728 32.04615 19.53125 24.46460 21.23057 25.63692
## 729 24.84098 25.51020 24.38653 20.54419 28.57143
## 730 22.38631 26.95312 21.35780 22.86253 26.25958
## 731 28.04282 30.48316 20.40816 25.39062 25.86451
## 732 20.20202 18.90204 21.22281 23.03005 17.77778
## 733 26.21882 23.04002 21.46194 25.14861 21.07720
## 735 19.48696 24.97399 25.46198 23.78121 20.63883
## 736 17.92822 29.82325 24.44180 25.71166 21.61281
## 737 20.70082 22.98540 25.30864 22.65625 25.39062
## 738 21.51386 24.85795 24.56747 21.48438 19.55556
## 739 28.30533 24.80159 28.99931 24.60973 24.97399
## 742 24.80159 26.12245 27.58020 23.87511 24.80159
## 750 19.55556 24.16327 26.83865 25.28257 21.36752
## 751 24.97399 25.30864 25.51020 26.77551 23.87511
## 752 19.48696 20.70082 23.12062 19.55556 29.82325
## 753 28.73175 23.80869 22.72440 29.05329 20.76125
## 755 23.43750 29.06977 26.44628 23.12062 24.08822
## 756 26.44628 25.18079 28.65014 32.04615 20.54989
## 757 25.39062 26.98962 27.65625 23.42209 27.11111
## 758 20.76125 23.60128 25.68956 28.65014 22.89282
## 759 23.60128 22.43230 24.21875 18.59012 23.56663
## 760 27.41445 20.54419 25.95156 31.21748 21.96712
## 761 21.45329 18.36547 28.30533 26.83865 24.38653
## 762 25.24934 26.31464 23.30668 22.38631 25.60554
## 770 24.50895 24.56747 22.12974 21.45357 29.41176
## 771 21.35931 25.39062 17.77778 20.19558 29.38468
## 773 25.30864 26.34649 23.73996 18.08021 27.43725
## 774 20.70082 24.76757 32.56189 34.47525 24.80159
## 776 22.03857 25.71166 26.17519 23.63403 22.89282
## 777 18.42404 25.28257 19.25703 22.67574 18.80787
## 778 23.30668 23.04688 28.65014 20.70082 23.33547
## 779 22.83288 23.49524 26.83865 28.65014 25.51020
## 780 28.88889 26.17188 26.34649 26.56434 17.14678
## 781 25.76298 21.35780 24.44180 24.56747 22.65625
## 782 24.50895 29.93827 23.80869 25.71166 22.32143
## 783 18.59012 20.67901 18.73049 24.22145 18.59012
## 786 25.95156 19.10009 20.54419 25.01352 18.59012
## 788 25.60554 22.98540 31.74179 24.44180 26.66667
## 791 22.07108 23.99946 21.36752 24.60973 21.07720
## 793 23.97959 25.95156 23.30668 23.30109 24.38653
## 795 21.61281 21.64127 22.65625 17.77778 20.54419
## 799 33.62209 23.03005 21.22281 18.36547 22.06035
## 800 22.77319 21.45329 27.82931 30.47797 27.42857
## 801 22.22222 26.82742 21.91381 25.95156 32.34682
## 802 23.33768 23.30109 28.73175 26.07897 18.90204
## 803 21.45329 23.55556 24.81994 25.68956 25.33284
## 804 22.98540 22.64086 24.48980 28.72679 20.02884
## 805 23.18339 23.18367 26.17519 19.62826 27.06405
## 807 24.08822 22.06035 23.30668 18.42404 27.54821
## 827 28.65014 24.72946 28.99931 25.96953 25.96454
## 832 18.36547 25.76298 22.77319 25.51020 23.05175
## 834 23.88946 18.59012 23.53037 21.36752 24.80159
## 842 23.33768 18.42404 24.21875 24.16327 27.34375
## 847 27.99036 23.03005 28.65014 23.38869 22.86253
## 852 22.40588 22.52151 20.19558 18.59113 32.87197
## 857 24.60938 22.38631 19.25703 21.36752 26.44628
## 
## $obesity
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $TC
##         1   2     3   4     5
## 2   171.0 243 289.0 228 169.0
## 3   150.0 150 199.0 140 231.0
## 29  168.0 191 169.0 205 136.0
## 87  115.0 193 164.0 151 173.0
## 115 126.0 161 199.0 146 146.0
## 162 166.0 165 163.0 239 103.0
## 190 208.0 171 217.0 148 177.0
## 235 177.2 233 160.0 160 168.0
## 413 209.0 193 160.0 131 272.0
## 430 183.0 205 255.0 200 143.0
## 488 154.0 103 111.8 185 144.0
## 508 217.0 255 222.0 184 255.0
## 579 170.0 160 159.0 207 103.0
## 729 116.0 197 198.0 144 211.0
## 732 141.0 197 195.0 131 206.0
## 751 172.0 194 275.0 234 191.0
## 752 201.0 246 175.0 160 238.0
## 755 154.0 169 120.0 113 200.0
## 758 182.0 152  96.0 217 134.0
## 770 117.6 209 123.0 181 141.0
## 771 244.0 166 196.0 118 167.0
## 778 103.0 246 123.0 204 132.8
## 797 212.0 231 222.0 258 293.0
## 
## $LDLC
##       1   2   3   4   5
## 2    85 161 161 146 117
## 3    71  72 133  86 156
## 29   90 111  84 100  82
## 72  136 123 108 118 133
## 87   75 110 108 124 123
## 115  67  53 134  86  87
## 162 116 108 100 181  60
## 190 152 121 149  93 137
## 235 115 145  91 102 103
## 413 102 129  87  66 202
## 430  93 140 182 123 124
## 488  97  57  78  94  92
## 508 141 156 107 125 109
## 579  74  91 119 140  50
## 729 150 128 132  98 123
## 732  78 145 149  78 144
## 751  84 113 212 139 114
## 752 102 141 115  87 174
## 755  82 115  58  62 119
## 758 122  84  48 131  79
## 770  64 141  74 114  85
## 771 173 103 103 150 104
## 778  50 174  60 108  79
## 797 141 147 156 164 214
## 
## $HDLC
##      1  2  3  4  5
## 2   42 33 89 37 23
## 3   41 10 10 29 35
## 29  42 25 60 52 32
## 87  28 48 33 27 46
## 115 38 26 34 31 29
## 162 35 43 44 43 23
## 190 38 36 33 38 34
## 235 39 48 42 36 34
## 413 46 37 28 25 41
## 430 43 35 38 68 15
## 488 38 40 27 42 28
## 508 46 65 37 42 61
## 579 60 39 21 46  8
## 729 23 34 40 25 49
## 732 37 40 38 29 26
## 751 38 46 36 26 49
## 752 54 60 43 10 33
## 755 33 47 28 41 41
## 758 44 34 26 38 27
## 770 21 47 20 45 28
## 771 46 27 36 35 30
## 778 41 51 38 44 20
## 797 27 36  8 47 24
## 
## $TG
##       1   2   3   4   5
## 3    76 184 241 153 194
## 29  126 164  55  64  57
## 115 166 194 155 161  65
## 190 127  78 414 106  40
## 235  74 117  52 109 108
## 488  49  61  45 128 151
## 508 247 137 459 129  55
## 579 174 124 154 192 184
## 751 142 170 182 276 147
## 752  38 151  58 261 164
## 755 182  49  20  30 175
## 758 151  99  87  71 114
## 770  39  89  92 156  75
## 771  51  52 184  66 139
## 857 406  37 156  62  59
## 
## $DM
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $HBP
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
## 
## $smoking
## [1] 1 2 3 4 5
## <0 rows> (or 0-length row.names)
# 4_3. 5개의 데이터셋 중 1번 데이터셋으로 대치하는 방법
completedData1 <- complete(imputed, 1)
sum(is.na(completedData1))
## [1] 0
# 4_4. 5개 통합분석된 데이터로 대치하는 방법
completedData <- complete(imputed)

# 4_5. 밀도plot에서 빨간색들이 5개의 만들어낸 분포, 파란색-> 마지막 가장 좋은 na 대치한 것의 분포
densityplot(imputed) #

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