Table 1 without transplant no missing, used for analysis

Data preprocessing

1 year selected variables

Model1 : age sex_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.301
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.447
## Area under the curve: 0.5732
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  4586  1058
##      died  25456  8843
##                                           
##                Accuracy : 0.3362          
##                  95% CI : (0.3316, 0.3409)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0251          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8931          
##             Specificity : 0.1527          
##          Pos Pred Value : 0.2578          
##          Neg Pred Value : 0.8125          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2214          
##    Detection Prevalence : 0.8587          
##       Balanced Accuracy : 0.5229          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error  z value Pr(>|z|)    
## (Intercept) -1.140137   0.008965 -127.178   <2e-16 ***
## age          0.244435   0.006099   40.079   <2e-16 ***
## sex_catMale  0.026604   0.011780    2.258   0.0239 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 177283  on 159776  degrees of freedom
## AIC: 177289
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.28 1.26, 1.29 <0.001
sex_catMale 1.03 1.00, 1.05 0.024
1 OR = Odds Ratio, CI = Confidence Interval

Model2 : age sex_cat ALBUMIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.351
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.459
## Area under the curve: 0.6231
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9273  1818
##      died  20769  8083
##                                           
##                Accuracy : 0.4345          
##                  95% CI : (0.4297, 0.4394)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0762          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8164          
##             Specificity : 0.3087          
##          Pos Pred Value : 0.2802          
##          Neg Pred Value : 0.8361          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2024          
##    Detection Prevalence : 0.7223          
##       Balanced Accuracy : 0.5625          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error  z value Pr(>|z|)    
## (Intercept) -1.200762   0.009174 -130.892  < 2e-16 ***
## age          0.259498   0.006149   42.204  < 2e-16 ***
## sex_catMale  0.086011   0.011949    7.198  6.1e-13 ***
## ALBUMIN     -0.332049   0.005811  -57.144  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173999  on 159775  degrees of freedom
## AIC: 174007
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.28, 1.31 <0.001
sex_catMale 1.09 1.06, 1.12 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

Model_3 : age sex_cat ALBUMIN COMO_CHF

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.356
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.461
## Area under the curve: 0.6286
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9859  1835
##      died  20183  8066
##                                           
##                Accuracy : 0.4488          
##                  95% CI : (0.4439, 0.4537)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0881          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8147          
##             Specificity : 0.3282          
##          Pos Pred Value : 0.2855          
##          Neg Pred Value : 0.8431          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2019          
##    Detection Prevalence : 0.7072          
##       Balanced Accuracy : 0.5714          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error  z value Pr(>|z|)    
## (Intercept) -1.291494   0.010279 -125.640  < 2e-16 ***
## age          0.250938   0.006178   40.621  < 2e-16 ***
## sex_catMale  0.089138   0.011966    7.449 9.37e-14 ***
## ALBUMIN     -0.328876   0.005825  -56.455  < 2e-16 ***
## COMO_CHFY    0.249572   0.012202   20.454  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173584  on 159774  degrees of freedom
## AIC: 173594
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.29 1.27, 1.30 <0.001
sex_catMale 1.09 1.07, 1.12 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
COMO_CHFY 1.28 1.25, 1.31 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_4 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.356
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.461
## Area under the curve: 0.6287
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9858  1841
##      died  20184  8060
##                                           
##                Accuracy : 0.4486          
##                  95% CI : (0.4437, 0.4535)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0877          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8141          
##             Specificity : 0.3281          
##          Pos Pred Value : 0.2854          
##          Neg Pred Value : 0.8426          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2018          
##    Detection Prevalence : 0.7071          
##       Balanced Accuracy : 0.5711          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##               Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)  -1.286066   0.011677 -110.138  < 2e-16 ***
## age           0.249773   0.006290   39.712  < 2e-16 ***
## sex_catMale   0.088793   0.011971    7.417  1.2e-13 ***
## ALBUMIN      -0.329298   0.005841  -56.376  < 2e-16 ***
## COMO_CHFY     0.250812   0.012268   20.445  < 2e-16 ***
## COMO_DM_INSY -0.011860   0.012126   -0.978    0.328    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173583  on 159773  degrees of freedom
## AIC: 173595
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.28 1.27, 1.30 <0.001
sex_catMale 1.09 1.07, 1.12 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
COMO_CHFY 1.29 1.25, 1.32 <0.001
COMO_DM_INSY 0.99 0.96, 1.01 0.3
1 OR = Odds Ratio, CI = Confidence Interval

model_5 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS COMO_HTN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.357
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.461
## Area under the curve: 0.6296
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9928  1837
##      died  20114  8064
##                                           
##                Accuracy : 0.4504          
##                  95% CI : (0.4456, 0.4553)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0895          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8145          
##             Specificity : 0.3305          
##          Pos Pred Value : 0.2862          
##          Neg Pred Value : 0.8439          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2019          
##    Detection Prevalence : 0.7055          
##       Balanced Accuracy : 0.5725          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -1.157069   0.019966 -57.951  < 2e-16 ***
## age           0.250487   0.006291  39.816  < 2e-16 ***
## sex_catMale   0.087540   0.011974   7.311 2.66e-13 ***
## ALBUMIN      -0.327848   0.005844 -56.099  < 2e-16 ***
## COMO_CHFY     0.251752   0.012271  20.516  < 2e-16 ***
## COMO_DM_INSY -0.009464   0.012131  -0.780    0.435    
## COMO_HTNY    -0.146122   0.018429  -7.929 2.21e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173522  on 159772  degrees of freedom
## AIC: 173536
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.28 1.27, 1.30 <0.001
sex_catMale 1.09 1.07, 1.12 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
COMO_CHFY 1.29 1.26, 1.32 <0.001
COMO_DM_INSY 0.99 0.97, 1.01 0.4
COMO_HTNY 0.86 0.83, 0.90 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_6 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS COMO_HTN CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.367
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6456
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12162  2157
##      died  17880  7744
##                                           
##                Accuracy : 0.4984          
##                  95% CI : (0.4934, 0.5033)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.122           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7821          
##             Specificity : 0.4048          
##          Pos Pred Value : 0.3022          
##          Neg Pred Value : 0.8494          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1939          
##    Detection Prevalence : 0.6415          
##       Balanced Accuracy : 0.5935          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.462660   0.021322 -68.599  < 2e-16 ***
## age                  0.246071   0.006320  38.938  < 2e-16 ***
## sex_catMale          0.110311   0.012067   9.142  < 2e-16 ***
## ALBUMIN             -0.288106   0.005934 -48.553  < 2e-16 ***
## COMO_CHFY            0.225730   0.012368  18.252  < 2e-16 ***
## COMO_DM_INSY        -0.014822   0.012215  -1.213    0.225    
## COMO_HTNY           -0.137038   0.018559  -7.384 1.54e-13 ***
## CLM_FROM_1year_cat1  0.555915   0.012159  45.721  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171400  on 159771  degrees of freedom
## AIC: 171416
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.28 1.26, 1.29 <0.001
sex_catMale 1.12 1.09, 1.14 <0.001
ALBUMIN 0.75 0.74, 0.76 <0.001
COMO_CHFY 1.25 1.22, 1.28 <0.001
COMO_DM_INSY 0.99 0.96, 1.01 0.2
COMO_HTNY 0.87 0.84, 0.90 <0.001
CLM_FROM_1year_cat1 1.74 1.70, 1.79 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_7 : age ALBUMIN COMO_CHF

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.355
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.461
## Area under the curve: 0.6284
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9772  1821
##      died  20270  8080
##                                           
##                Accuracy : 0.4469          
##                  95% CI : (0.4421, 0.4518)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.087           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8161          
##             Specificity : 0.3253          
##          Pos Pred Value : 0.2850          
##          Neg Pred Value : 0.8429          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2023          
##    Detection Prevalence : 0.7098          
##       Balanced Accuracy : 0.5707          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -1.239777   0.007516 -164.95   <2e-16 ***
## age          0.249718   0.006174   40.45   <2e-16 ***
## ALBUMIN     -0.325229   0.005805  -56.03   <2e-16 ***
## COMO_CHFY    0.248379   0.012198   20.36   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173640  on 159775  degrees of freedom
## AIC: 173648
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.28 1.27, 1.30 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
COMO_CHFY 1.28 1.25, 1.31 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_8 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.357
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.462
## Area under the curve: 0.6323
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 10150  1843
##      died  19892  8058
##                                          
##                Accuracy : 0.4558         
##                  95% CI : (0.451, 0.4607)
##     No Information Rate : 0.7521         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.0942         
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.8139         
##             Specificity : 0.3379         
##          Pos Pred Value : 0.2883         
##          Neg Pred Value : 0.8463         
##              Prevalence : 0.2479         
##          Detection Rate : 0.2017         
##    Detection Prevalence : 0.6997         
##       Balanced Accuracy : 0.5759         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.237792   0.007526 -164.46   <2e-16 ***
## age               0.260366   0.006213   41.91   <2e-16 ***
## ALBUMIN          -0.317463   0.005831  -54.44   <2e-16 ***
## COMO_CHFY         0.231845   0.012239   18.94   <2e-16 ***
## IRON_SAT_PERCENT -0.116009   0.005997  -19.34   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173262  on 159774  degrees of freedom
## AIC: 173272
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.28, 1.31 <0.001
ALBUMIN 0.73 0.72, 0.74 <0.001
COMO_CHFY 1.26 1.23, 1.29 <0.001
IRON_SAT_PERCENT 0.89 0.88, 0.90 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_9 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT HGB

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.360
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.463
## Area under the curve: 0.6349
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 10449  1905
##      died  19593  7996
##                                           
##                Accuracy : 0.4618          
##                  95% CI : (0.4569, 0.4667)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0972          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8076          
##             Specificity : 0.3478          
##          Pos Pred Value : 0.2898          
##          Neg Pred Value : 0.8458          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2002          
##    Detection Prevalence : 0.6907          
##       Balanced Accuracy : 0.5777          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.242642   0.007547 -164.66   <2e-16 ***
## age               0.266402   0.006226   42.79   <2e-16 ***
## ALBUMIN          -0.286903   0.006025  -47.62   <2e-16 ***
## COMO_CHFY         0.236998   0.012260   19.33   <2e-16 ***
## IRON_SAT_PERCENT -0.097690   0.006051  -16.14   <2e-16 ***
## HGB              -0.122962   0.006199  -19.84   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 172867  on 159773  degrees of freedom
## AIC: 172879
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.31 1.29, 1.32 <0.001
ALBUMIN 0.75 0.74, 0.76 <0.001
COMO_CHFY 1.27 1.24, 1.30 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.92 <0.001
HGB 0.88 0.87, 0.90 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_10 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.366
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6469
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12167  2163
##      died  17875  7738
##                                           
##                Accuracy : 0.4983          
##                  95% CI : (0.4934, 0.5033)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1218          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7815          
##             Specificity : 0.4050          
##          Pos Pred Value : 0.3021          
##          Neg Pred Value : 0.8491          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1937          
##    Detection Prevalence : 0.6412          
##       Balanced Accuracy : 0.5933          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.515253   0.010123 -149.68   <2e-16 ***
## age                  0.254379   0.006238   40.78   <2e-16 ***
## ALBUMIN             -0.279342   0.005918  -47.20   <2e-16 ***
## COMO_CHFY            0.208690   0.012328   16.93   <2e-16 ***
## IRON_SAT_PERCENT    -0.095877   0.006039  -15.88   <2e-16 ***
## CLM_FROM_1year_cat1  0.537424   0.012179   44.13   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171288  on 159773  degrees of freedom
## AIC: 171300
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.29 1.27, 1.31 <0.001
ALBUMIN 0.76 0.75, 0.77 <0.001
COMO_CHFY 1.23 1.20, 1.26 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.92 <0.001
CLM_FROM_1year_cat1 1.71 1.67, 1.75 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_11 : age,ALBUMIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.350
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.459
## Area under the curve: 0.623
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9269  1785
##      died  20773  8116
##                                           
##                Accuracy : 0.4352          
##                  95% CI : (0.4304, 0.4401)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0781          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8197          
##             Specificity : 0.3085          
##          Pos Pred Value : 0.2809          
##          Neg Pred Value : 0.8385          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2032          
##    Detection Prevalence : 0.7233          
##       Balanced Accuracy : 0.5641          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -1.151270   0.006001 -191.84   <2e-16 ***
## age          0.258276   0.006145   42.03   <2e-16 ***
## ALBUMIN     -0.328514   0.005790  -56.74   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 174051  on 159776  degrees of freedom
## AIC: 174057
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.29 1.28, 1.31 <0.001
ALBUMIN 0.72 0.71, 0.73 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_12 : age ALBUMIN IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.352
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.460
## Area under the curve: 0.6276
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive  9773  1833
##      died  20269  8068
##                                           
##                Accuracy : 0.4467          
##                  95% CI : (0.4418, 0.4516)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0863          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8149          
##             Specificity : 0.3253          
##          Pos Pred Value : 0.2847          
##          Neg Pred Value : 0.8421          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2020          
##    Detection Prevalence : 0.7094          
##       Balanced Accuracy : 0.5701          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.155417   0.006022 -191.86   <2e-16 ***
## age               0.269005   0.006184   43.50   <2e-16 ***
## ALBUMIN          -0.319974   0.005819  -54.99   <2e-16 ***
## IRON_SAT_PERCENT -0.123703   0.005977  -20.70   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173618  on 159775  degrees of freedom
## AIC: 173626
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.31 1.29, 1.32 <0.001
ALBUMIN 0.73 0.72, 0.73 <0.001
IRON_SAT_PERCENT 0.88 0.87, 0.89 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_13 : age ALBUMIN IRON_SAT_PERCENT HGB

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.355
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.462
## Area under the curve: 0.6301
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 10106  1869
##      died  19936  8032
##                                          
##                Accuracy : 0.4541         
##                  95% CI : (0.4492, 0.459)
##     No Information Rate : 0.7521         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.0916         
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.8112         
##             Specificity : 0.3364         
##          Pos Pred Value : 0.2872         
##          Neg Pred Value : 0.8439         
##              Prevalence : 0.2479         
##          Detection Rate : 0.2011         
##    Detection Prevalence : 0.7002         
##       Balanced Accuracy : 0.5738         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.158382   0.006037 -191.89   <2e-16 ***
## age               0.275139   0.006197   44.40   <2e-16 ***
## ALBUMIN          -0.290083   0.006011  -48.26   <2e-16 ***
## IRON_SAT_PERCENT -0.105884   0.006030  -17.56   <2e-16 ***
## HGB              -0.120535   0.006192  -19.46   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173237  on 159774  degrees of freedom
## AIC: 173247
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.32 1.30, 1.33 <0.001
ALBUMIN 0.75 0.74, 0.76 <0.001
IRON_SAT_PERCENT 0.90 0.89, 0.91 <0.001
HGB 0.89 0.88, 0.90 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_14 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.364
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.467
## Area under the curve: 0.6451
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12136  2152
##      died  17906  7749
##                                           
##                Accuracy : 0.4978          
##                  95% CI : (0.4929, 0.5028)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1217          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7826          
##             Specificity : 0.4040          
##          Pos Pred Value : 0.3020          
##          Neg Pred Value : 0.8494          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1940          
##    Detection Prevalence : 0.6423          
##       Balanced Accuracy : 0.5933          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.438664   0.009179 -156.73   <2e-16 ***
## age                  0.267173   0.006223   42.93   <2e-16 ***
## ALBUMIN             -0.258759   0.006082  -42.55   <2e-16 ***
## IRON_SAT_PERCENT    -0.089474   0.006068  -14.74   <2e-16 ***
## HGB                 -0.094202   0.006237  -15.10   <2e-16 ***
## CLM_FROM_1year_cat1  0.528415   0.012222   43.24   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171344  on 159773  degrees of freedom
## AIC: 171356
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.31 1.29, 1.32 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.93 <0.001
HGB 0.91 0.90, 0.92 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.74 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_15 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat race_cat_4

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.368
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.469
## Area under the curve: 0.6483
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12310  2146
##      died  17732  7755
##                                           
##                Accuracy : 0.5023          
##                  95% CI : (0.4974, 0.5073)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1263          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7833          
##             Specificity : 0.4098          
##          Pos Pred Value : 0.3043          
##          Neg Pred Value : 0.8515          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1942          
##    Detection Prevalence : 0.6381          
##       Balanced Accuracy : 0.5965          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.369192   0.009947 -137.644  < 2e-16 ***
## age                  0.256758   0.006285   40.850  < 2e-16 ***
## ALBUMIN             -0.258220   0.006092  -42.390  < 2e-16 ***
## IRON_SAT_PERCENT    -0.086471   0.006075  -14.235  < 2e-16 ***
## HGB                 -0.103115   0.006273  -16.438  < 2e-16 ***
## CLM_FROM_1year_cat1  0.522844   0.012237   42.726  < 2e-16 ***
## race_cat_4Asian     -0.289848   0.036018   -8.047 8.47e-16 ***
## race_cat_4Black     -0.222031   0.014556  -15.254  < 2e-16 ***
## race_cat_4Other     -0.288272   0.044669   -6.454 1.09e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171034  on 159770  degrees of freedom
## AIC: 171052
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.29 1.28, 1.31 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.92 0.91, 0.93 <0.001
HGB 0.90 0.89, 0.91 <0.001
CLM_FROM_1year_cat1 1.69 1.65, 1.73 <0.001
race_cat_4Asian 0.75 0.70, 0.80 <0.001
race_cat_4Black 0.80 0.78, 0.82 <0.001
race_cat_4Other 0.75 0.69, 0.82 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_16 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat race_cat_4 state_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.367
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.469
## Area under the curve: 0.6484
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12324  2144
##      died  17718  7757
##                                           
##                Accuracy : 0.5027          
##                  95% CI : (0.4978, 0.5077)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1268          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7835          
##             Specificity : 0.4102          
##          Pos Pred Value : 0.3045          
##          Neg Pred Value : 0.8518          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1942          
##    Detection Prevalence : 0.6378          
##       Balanced Accuracy : 0.5968          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.317146   0.014947 -88.123  < 2e-16 ***
## age                  0.258580   0.006315  40.949  < 2e-16 ***
## ALBUMIN             -0.258245   0.006095 -42.372  < 2e-16 ***
## IRON_SAT_PERCENT    -0.086549   0.006077 -14.241  < 2e-16 ***
## HGB                 -0.102565   0.006287 -16.314  < 2e-16 ***
## CLM_FROM_1year_cat1  0.519550   0.012255  42.394  < 2e-16 ***
## race_cat_4Asian     -0.252697   0.036554  -6.913 4.74e-12 ***
## race_cat_4Black     -0.234576   0.014802 -15.848  < 2e-16 ***
## race_cat_4Other     -0.262204   0.045008  -5.826 5.69e-09 ***
## state_catFIPSNE     -0.099387   0.019454  -5.109 3.24e-07 ***
## state_catFIPSS      -0.026432   0.015639  -1.690    0.091 .  
## state_catFIPSW      -0.116344   0.019314  -6.024 1.70e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 170981  on 159767  degrees of freedom
## AIC: 171005
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.28, 1.31 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.92 0.91, 0.93 <0.001
HGB 0.90 0.89, 0.91 <0.001
CLM_FROM_1year_cat1 1.68 1.64, 1.72 <0.001
race_cat_4Asian 0.78 0.72, 0.83 <0.001
race_cat_4Black 0.79 0.77, 0.81 <0.001
race_cat_4Other 0.77 0.70, 0.84 <0.001
state_catFIPSNE 0.91 0.87, 0.94 <0.001
state_catFIPSS 0.97 0.94, 1.00 0.091
state_catFIPSW 0.89 0.86, 0.92 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_17 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_CORRECTED

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.364
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.467
## Area under the curve: 0.6452
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12152  2153
##      died  17890  7748
##                                           
##                Accuracy : 0.4982          
##                  95% CI : (0.4933, 0.5031)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.122           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7825          
##             Specificity : 0.4045          
##          Pos Pred Value : 0.3022          
##          Neg Pred Value : 0.8495          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1940          
##    Detection Prevalence : 0.6419          
##       Balanced Accuracy : 0.5935          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.438543   0.009180 -156.712   <2e-16 ***
## age                  0.266126   0.006249   42.589   <2e-16 ***
## ALBUMIN             -0.257584   0.006115  -42.121   <2e-16 ***
## IRON_SAT_PERCENT    -0.089274   0.006070  -14.708   <2e-16 ***
## HGB                 -0.094654   0.006242  -15.165   <2e-16 ***
## CLM_FROM_1year_cat1  0.528156   0.012223   43.211   <2e-16 ***
## CALCIUM_CORRECTED    0.010582   0.005804    1.823   0.0683 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171341  on 159772  degrees of freedom
## AIC: 171355
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.29, 1.32 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.93 <0.001
HGB 0.91 0.90, 0.92 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.74 <0.001
CALCIUM_CORRECTED 1.01 1.00, 1.02 0.068
1 OR = Odds Ratio, CI = Confidence Interval

model_18 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_CORRECTED FERRITIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.364
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6454
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12182  2157
##      died  17860  7744
##                                           
##                Accuracy : 0.4989          
##                  95% CI : (0.4939, 0.5038)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1225          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7821          
##             Specificity : 0.4055          
##          Pos Pred Value : 0.3025          
##          Neg Pred Value : 0.8496          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1939          
##    Detection Prevalence : 0.6410          
##       Balanced Accuracy : 0.5938          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.437897   0.009180 -156.629  < 2e-16 ***
## age                  0.263589   0.006271   42.030  < 2e-16 ***
## ALBUMIN             -0.256843   0.006118  -41.979  < 2e-16 ***
## IRON_SAT_PERCENT    -0.097359   0.006302  -15.449  < 2e-16 ***
## HGB                 -0.089855   0.006320  -14.218  < 2e-16 ***
## CLM_FROM_1year_cat1  0.526598   0.012228   43.066  < 2e-16 ***
## CALCIUM_CORRECTED    0.008373   0.005880    1.424    0.154    
## FERRITIN             0.029325   0.006065    4.835 1.33e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171317  on 159771  degrees of freedom
## AIC: 171333
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.29, 1.32 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.92 <0.001
HGB 0.91 0.90, 0.93 <0.001
CLM_FROM_1year_cat1 1.69 1.65, 1.73 <0.001
CALCIUM_CORRECTED 1.01 1.00, 1.02 0.2
FERRITIN 1.03 1.02, 1.04 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_19 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_CORRECTED FERRITIN PHOSPHORUS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.365
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6466
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12198  2139
##      died  17844  7762
##                                           
##                Accuracy : 0.4997          
##                  95% CI : (0.4948, 0.5046)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.124           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7840          
##             Specificity : 0.4060          
##          Pos Pred Value : 0.3031          
##          Neg Pred Value : 0.8508          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1943          
##    Detection Prevalence : 0.6411          
##       Balanced Accuracy : 0.5950          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.440489   0.009190 -156.742  < 2e-16 ***
## age                  0.284681   0.006547   43.481  < 2e-16 ***
## ALBUMIN             -0.266163   0.006177  -43.090  < 2e-16 ***
## IRON_SAT_PERCENT    -0.098719   0.006307  -15.652  < 2e-16 ***
## HGB                 -0.086889   0.006334  -13.717  < 2e-16 ***
## CLM_FROM_1year_cat1  0.528995   0.012235   43.237  < 2e-16 ***
## CALCIUM_CORRECTED    0.014869   0.005805    2.561   0.0104 *  
## FERRITIN             0.034020   0.006078    5.597 2.18e-08 ***
## PHOSPHORUS           0.072975   0.006324   11.539  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171185  on 159770  degrees of freedom
## AIC: 171203
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.33 1.31, 1.35 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.89, 0.92 <0.001
HGB 0.92 0.91, 0.93 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.74 <0.001
CALCIUM_CORRECTED 1.01 1.00, 1.03 0.010
FERRITIN 1.03 1.02, 1.05 <0.001
PHOSPHORUS 1.08 1.06, 1.09 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_20 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.356
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.462
## Area under the curve: 0.6306
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 10178  1892
##      died  19864  8009
##                                           
##                Accuracy : 0.4553          
##                  95% CI : (0.4504, 0.4602)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.0918          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.8089          
##             Specificity : 0.3388          
##          Pos Pred Value : 0.2873          
##          Neg Pred Value : 0.8432          
##              Prevalence : 0.2479          
##          Detection Rate : 0.2005          
##    Detection Prevalence : 0.6978          
##       Balanced Accuracy : 0.5739          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)      -1.216411   0.009225 -131.858   <2e-16 ***
## age               0.276706   0.006202   44.617   <2e-16 ***
## ALBUMIN          -0.293435   0.006025  -48.705   <2e-16 ***
## IRON_SAT_PERCENT -0.105944   0.006031  -17.568   <2e-16 ***
## HGB              -0.123208   0.006198  -19.877   <2e-16 ***
## sex_catMale       0.100838   0.011994    8.407   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 173166  on 159773  degrees of freedom
## AIC: 173178
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.32 1.30, 1.33 <0.001
ALBUMIN 0.75 0.74, 0.75 <0.001
IRON_SAT_PERCENT 0.90 0.89, 0.91 <0.001
HGB 0.88 0.87, 0.89 <0.001
sex_catMale 1.11 1.08, 1.13 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_21 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.366
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.646
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12215  2150
##      died  17827  7751
##                                           
##                Accuracy : 0.4999          
##                  95% CI : (0.4949, 0.5048)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1238          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7829          
##             Specificity : 0.4066          
##          Pos Pred Value : 0.3030          
##          Neg Pred Value : 0.8503          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1941          
##    Detection Prevalence : 0.6404          
##       Balanced Accuracy : 0.5947          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.509941   0.011724 -128.795   <2e-16 ***
## age                  0.268992   0.006228   43.190   <2e-16 ***
## ALBUMIN             -0.262460   0.006094  -43.070   <2e-16 ***
## IRON_SAT_PERCENT    -0.089369   0.006069  -14.725   <2e-16 ***
## HGB                 -0.097162   0.006242  -15.566   <2e-16 ***
## sex_catMale          0.119790   0.012077    9.919   <2e-16 ***
## CLM_FROM_1year_cat1  0.532825   0.012236   43.547   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171245  on 159772  degrees of freedom
## AIC: 171259
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.31 1.29, 1.32 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.93 <0.001
HGB 0.91 0.90, 0.92 <0.001
sex_catMale 1.13 1.10, 1.15 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.75 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_22 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat CLM_FROM_1year_cat race_cat_4

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.369
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.469
## Area under the curve: 0.6489
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12334  2158
##      died  17708  7743
##                                           
##                Accuracy : 0.5026          
##                  95% CI : (0.4977, 0.5076)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1262          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7820          
##             Specificity : 0.4106          
##          Pos Pred Value : 0.3042          
##          Neg Pred Value : 0.8511          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1939          
##    Detection Prevalence : 0.6372          
##       Balanced Accuracy : 0.5963          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.434744   0.012511 -114.674  < 2e-16 ***
## age                  0.258815   0.006292   41.134  < 2e-16 ***
## ALBUMIN             -0.261594   0.006104  -42.856  < 2e-16 ***
## IRON_SAT_PERCENT    -0.086441   0.006075  -14.229  < 2e-16 ***
## HGB                 -0.105304   0.006276  -16.780  < 2e-16 ***
## CLM_FROM_1year_cat1  0.526906   0.012251   43.011  < 2e-16 ***
## sex_catMale          0.105968   0.012122    8.742  < 2e-16 ***
## race_cat_4Asian     -0.288171   0.036027   -7.999 1.26e-15 ***
## race_cat_4Black     -0.212321   0.014602  -14.541  < 2e-16 ***
## race_cat_4Other     -0.284054   0.044677   -6.358 2.04e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 170957  on 159769  degrees of freedom
## AIC: 170977
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.30 1.28, 1.31 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.92 0.91, 0.93 <0.001
HGB 0.90 0.89, 0.91 <0.001
CLM_FROM_1year_cat1 1.69 1.65, 1.73 <0.001
sex_catMale 1.11 1.09, 1.14 <0.001
race_cat_4Asian 0.75 0.70, 0.80 <0.001
race_cat_4Black 0.81 0.79, 0.83 <0.001
race_cat_4Other 0.75 0.69, 0.82 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_23 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat rstate_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.366
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6461
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12220  2158
##      died  17822  7743
##                                           
##                Accuracy : 0.4998          
##                  95% CI : (0.4949, 0.5047)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1234          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7820          
##             Specificity : 0.4068          
##          Pos Pred Value : 0.3029          
##          Neg Pred Value : 0.8499          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1939          
##    Detection Prevalence : 0.6400          
##       Balanced Accuracy : 0.5944          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.447654   0.016274 -88.953  < 2e-16 ***
## age                  0.270813   0.006267  43.215  < 2e-16 ***
## ALBUMIN             -0.262863   0.006097 -43.111  < 2e-16 ***
## IRON_SAT_PERCENT    -0.089133   0.006072 -14.679  < 2e-16 ***
## HGB                 -0.096428   0.006259 -15.406  < 2e-16 ***
## CLM_FROM_1year_cat1  0.529638   0.012254  43.223  < 2e-16 ***
## sex_catMale          0.122035   0.012087  10.096  < 2e-16 ***
## state_catFIPSNE     -0.107268   0.019441  -5.518 3.44e-08 ***
## state_catFIPSS      -0.050320   0.015550  -3.236  0.00121 ** 
## state_catFIPSW      -0.122754   0.018940  -6.481 9.11e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171191  on 159769  degrees of freedom
## AIC: 171211
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.31 1.30, 1.33 <0.001
ALBUMIN 0.77 0.76, 0.78 <0.001
IRON_SAT_PERCENT 0.91 0.90, 0.93 <0.001
HGB 0.91 0.90, 0.92 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.74 <0.001
sex_catMale 1.13 1.10, 1.16 <0.001
state_catFIPSNE 0.90 0.86, 0.93 <0.001
state_catFIPSS 0.95 0.92, 0.98 0.001
state_catFIPSW 0.88 0.85, 0.92 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_24 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat sex_cat CALCIUM_CORRECTED FERRITIN PHOSPHORUS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.367
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.468
## Area under the curve: 0.6476
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 12259  2161
##      died  17783  7740
##                                           
##                Accuracy : 0.5007          
##                  95% CI : (0.4958, 0.5056)
##     No Information Rate : 0.7521          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1241          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.7817          
##             Specificity : 0.4081          
##          Pos Pred Value : 0.3033          
##          Neg Pred Value : 0.8501          
##              Prevalence : 0.2479          
##          Detection Rate : 0.1938          
##    Detection Prevalence : 0.6390          
##       Balanced Accuracy : 0.5949          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -1.518255   0.011775 -128.943  < 2e-16 ***
## age                  0.285968   0.006553   43.641  < 2e-16 ***
## ALBUMIN             -0.269372   0.006186  -43.544  < 2e-16 ***
## IRON_SAT_PERCENT    -0.099596   0.006309  -15.787  < 2e-16 ***
## HGB                 -0.089704   0.006338  -14.153  < 2e-16 ***
## CLM_FROM_1year_cat1  0.533412   0.012248   43.550  < 2e-16 ***
## sex_catMale          0.130984   0.012206   10.731  < 2e-16 ***
## CALCIUM_CORRECTED    0.022488   0.005957    3.775  0.00016 ***
## FERRITIN             0.038192   0.006091    6.270  3.6e-10 ***
## PHOSPHORUS           0.074064   0.006323   11.714  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 178955  on 159778  degrees of freedom
## Residual deviance: 171069  on 159769  degrees of freedom
## AIC: 171089
## 
## Number of Fisher Scoring iterations: 4
Characteristic OR1 95% CI1 p-value
age 1.33 1.31, 1.35 <0.001
ALBUMIN 0.76 0.75, 0.77 <0.001
IRON_SAT_PERCENT 0.91 0.89, 0.92 <0.001
HGB 0.91 0.90, 0.93 <0.001
CLM_FROM_1year_cat1 1.70 1.66, 1.75 <0.001
sex_catMale 1.14 1.11, 1.17 <0.001
CALCIUM_CORRECTED 1.02 1.01, 1.03 <0.001
FERRITIN 1.04 1.03, 1.05 <0.001
PHOSPHORUS 1.08 1.06, 1.09 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_12 vs model_13 Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2  10435   1171
##   >= 0.2  1540  26797
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   1580    253
##   >= 0.2   289   7779
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   8855    918
##   >= 0.2  1251  19018

##                   Estimate
## NRI            0.007448485
## NRI+          -0.003635996
## NRI-           0.011084482
## Pr(Up|Case)    0.025552974
## Pr(Down|Case)  0.029188971
## Pr(Down|Ctrl)  0.041641702
## Pr(Up|Ctrl)    0.030557220
##                   Estimate   Std.Error        Lower       Upper
## NRI            0.007448485 0.002722883  0.002293588 0.012799418
## NRI+          -0.003635996 0.002343448 -0.008084741 0.001155687
## NRI-           0.011084482 0.001550883  0.007993854 0.014175318
## Pr(Up|Case)    0.025552974 0.001606399  0.022441516 0.028773413
## Pr(Down|Case)  0.029188971 0.001667243  0.025871333 0.032225275
## Pr(Down|Ctrl)  0.041641702 0.001135158  0.039381627 0.043802409
## Pr(Up|Ctrl)    0.030557220 0.001021138  0.028527693 0.032621678

model_12 vs model_14 Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2   8639   2967
##   >= 0.2  5649  22688
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   1166    667
##   >= 0.2   986   7082
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   7473   2300
##   >= 0.2  4663  15606

##                  Estimate
## NRI            0.04643758
## NRI+          -0.03221897
## NRI-           0.07865655
## Pr(Up|Case)    0.06736693
## Pr(Down|Case)  0.09958590
## Pr(Down|Ctrl)  0.15521603
## Pr(Up|Ctrl)    0.07655948
##                  Estimate   Std.Error       Lower       Upper
## NRI            0.04643758 0.005032227  0.03676496  0.05706975
## NRI+          -0.03221897 0.004198386 -0.04015489 -0.02339857
## NRI-           0.07865655 0.002787990  0.07318613  0.08397340
## Pr(Up|Case)    0.06736693 0.002506589  0.06229258  0.07208713
## Pr(Down|Case)  0.09958590 0.003102287  0.09341115  0.10576379
## Pr(Down|Ctrl)  0.15521603 0.002115412  0.15101267  0.15930416
## Pr(Up|Ctrl)    0.07655948 0.001573679  0.07368142  0.07959437

model_13 vs model_14 Full Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2   8984   2991
##   >= 0.2  5304  22664
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   1212    657
##   >= 0.2   940   7092
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   7772   2334
##   >= 0.2  4364  15572

##                  Estimate
## NRI            0.03898909
## NRI+          -0.02858297
## NRI-           0.06757207
## Pr(Up|Case)    0.06635693
## Pr(Down|Case)  0.09493991
## Pr(Down|Ctrl)  0.14526330
## Pr(Up|Ctrl)    0.07769123
##                  Estimate   Std.Error       Lower       Upper
## NRI            0.03898909 0.004922244  0.02993463  0.04842877
## NRI+          -0.02858297 0.004051782 -0.03648771 -0.02052189
## NRI-           0.06757207 0.002657664  0.06235732  0.07281740
## Pr(Up|Case)    0.06635693 0.002553261  0.06150261  0.07142492
## Pr(Down|Case)  0.09493991 0.002950776  0.08905765  0.10056321
## Pr(Down|Ctrl)  0.14526330 0.002040179  0.14134676  0.14922027
## Pr(Up|Ctrl)    0.07769123 0.001513570  0.07469694  0.08049996

hoslem.test model_12

##          cutyhat Var2 Freq_observed
## 1  [0.046,0.181]   y0          6785
## 2  (0.181,0.221]   y0          6491
## 3  (0.221,0.259]   y0          6123
## 4  (0.259,0.309]   y0          5709
## 5  (0.309,0.699]   y0          4934
## 6  [0.046,0.181]   y1          1204
## 7  (0.181,0.221]   y1          1497
## 8  (0.221,0.259]   y1          1866
## 9  (0.259,0.309]   y1          2279
## 10 (0.309,0.699]   y1          3055
##          cutyhat  Var2 Freq_expected
## 1  [0.046,0.181] yhat0      6796.055
## 2  (0.181,0.221] yhat0      6378.333
## 3  (0.221,0.259] yhat0      6077.979
## 4  (0.259,0.309] yhat0      5738.186
## 5  (0.309,0.699] yhat0      5050.824
## 6  [0.046,0.181] yhat1      1192.945
## 7  (0.181,0.221] yhat1      1609.667
## 8  (0.221,0.259] yhat1      1911.021
## 9  (0.259,0.309] yhat1      2249.814
## 10 (0.309,0.699] yhat1      2938.176

hoslem.test model_13

##          cutyhat Var2 Freq_observed
## 1  [0.043,0.179]   y0          6819
## 2  (0.179,0.219]   y0          6487
## 3  (0.219,0.258]   y0          6133
## 4  (0.258,0.311]   y0          5667
## 5  (0.311,0.729]   y0          4936
## 6  [0.043,0.179]   y1          1170
## 7  (0.179,0.219]   y1          1501
## 8  (0.219,0.258]   y1          1856
## 9  (0.258,0.311]   y1          2321
## 10 (0.311,0.729]   y1          3053
##          cutyhat  Var2 Freq_expected
## 1  [0.043,0.179] yhat0      6814.883
## 2  (0.179,0.219] yhat0      6392.156
## 3  (0.219,0.258] yhat0      6088.259
## 4  (0.258,0.311] yhat0      5735.201
## 5  (0.311,0.729] yhat0      5011.084
## 6  [0.043,0.179] yhat1      1174.117
## 7  (0.179,0.219] yhat1      1595.844
## 8  (0.219,0.258] yhat1      1900.741
## 9  (0.258,0.311] yhat1      2252.799
## 10 (0.311,0.729] yhat1      2977.916

hoslem.test model_14

##           cutyhat Var2 Freq_observed
## 1  [0.0385,0.163]   y0          6983
## 2    (0.163,0.21]   y0          6491
## 3    (0.21,0.263]   y0          6086
## 4   (0.263,0.328]   y0          5619
## 5   (0.328,0.727]   y0          4863
## 6  [0.0385,0.163]   y1          1006
## 7    (0.163,0.21]   y1          1497
## 8    (0.21,0.263]   y1          1903
## 9   (0.263,0.328]   y1          2369
## 10  (0.328,0.727]   y1          3126
##           cutyhat  Var2 Freq_expected
## 1  [0.0385,0.163] yhat0      6931.040
## 2    (0.163,0.21] yhat0      6497.373
## 3    (0.21,0.263] yhat0      6108.523
## 4   (0.263,0.328] yhat0      5644.838
## 5   (0.328,0.727] yhat0      4849.534
## 6  [0.0385,0.163] yhat1      1057.960
## 7    (0.163,0.21] yhat1      1490.627
## 8    (0.21,0.263] yhat1      1880.477
## 9   (0.263,0.328] yhat1      2343.162
## 10  (0.328,0.727] yhat1      3139.466