First, import and clean data

library(haven)
LarynxSCC_DSS <- read_sav("C:/Users/yul13011/Dropbox/2017-2018/Linda's paper/Revisions/SEER2000on_LarynxSCC_2019Feb22.sav")

LarynxSCC_DSS=LarynxSCC_DSS[LarynxSCC_DSS$`filter_$`==1, ]

LarynxSCC_DSS=LarynxSCC_DSS[, c("DSS_Larynx","SurvivalMonths","Age","Sex","Race_NEW","PrimarySiteLabeled","PrimarySite","LNDx", "AJCC6thStage_NEW","TreatmentGrp","Marital_NEW")]

LarynxSCC_DSS=LarynxSCC_DSS[LarynxSCC_DSS$LNDx!="99",]
LarynxSCC_DSS=LarynxSCC_DSS[LarynxSCC_DSS$Marital_NEW!="6",]
LarynxSCC_DSS=LarynxSCC_DSS[LarynxSCC_DSS$AJCC6thStage_NEW!="8",]


LarynxSCC_DSS$PrimarySite=factor(LarynxSCC_DSS$PrimarySite, 
                                   levels=c("320","321","322"),
                                   labels=c("C32.0-Glottis","C32.1-Supraglottis","C32.2-Subglottis"))
LarynxSCC_DSS$Race_NEW=factor(LarynxSCC_DSS$Race_NEW,
                                levels=c("5","1","2","3","4"),
                                labels=c("White",
                                  "American Indian/Alaska Native",
                                         "Asian or Pacific Islander",
                                         "Black",
                                         "Unknown"
                                        ))
LarynxSCC_DSS$Marital_NEW=factor(LarynxSCC_DSS$Marital_NEW,
                                   levels=c("4","1","2","3","5","7"),
                                   labels=c("Single","Divorced","Married","Separated","Unknown","widowed"))

LarynxSCC_DSS$AJCC6thStage_NEW=factor(LarynxSCC_DSS$AJCC6thStage_NEW,
                                        levels = c("1","2","3","4"))
LarynxSCC_DSS$LNDx=factor(LarynxSCC_DSS$LNDx,
                            levels = c("0","1"),
                            labels = c("not examined","examined"))

LarynxSCC_DSS$TreatmentGrp=factor(LarynxSCC_DSS$TreatmentGrp,
                                    levels = c("0","1","2","3"),
                                    labels = c("Radiation only","Local Surgery",
                                               "Local surgery + radiation",
                                               "Open surgery"))
LarynxSCC_DSS$female=ifelse(LarynxSCC_DSS$Sex=="Female",1,0) # create a variable to match on #
LarynxSCC_DSS=data.frame(LarynxSCC_DSS)

Run Cox regression on the unmatched data and check proportional hazards assumption

library(survival)
## Warning: package 'survival' was built under R version 3.5.3
library(survminer)
## Warning: package 'survminer' was built under R version 3.5.3
## Loading required package: ggplot2
## Loading required package: ggpubr
## Loading required package: magrittr
library(dplyr)
## Warning: package 'dplyr' was built under R version 3.5.3
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(timereg)
## Warning: package 'timereg' was built under R version 3.5.3
surv=Surv(time=LarynxSCC_DSS$SurvivalMonths,event= LarynxSCC_DSS$DSS_Larynx)

# Fit cox regression 
fit1=coxph(surv~Age+female+Race_NEW+Marital_NEW+
             PrimarySite+AJCC6thStage_NEW+TreatmentGrp+LNDx, data=LarynxSCC_DSS)
summary(fit1)
## Call:
## coxph(formula = surv ~ Age + female + Race_NEW + Marital_NEW + 
##     PrimarySite + AJCC6thStage_NEW + TreatmentGrp + LNDx, data = LarynxSCC_DSS)
## 
##   n= 16288, number of events= 2266 
## 
##                                            coef exp(coef)  se(coef)      z
## Age                                    0.033912  1.034493  0.002172 15.611
## female                                -0.103079  0.902056  0.054625 -1.887
## Race_NEWAmerican Indian/Alaska Native -0.113446  0.892752  0.302733 -0.375
## Race_NEWAsian or Pacific Islander      0.130016  1.138847  0.117783  1.104
## Race_NEWBlack                         -0.014558  0.985547  0.059401 -0.245
## Race_NEWUnknown                       -0.776865  0.459846  0.578163 -1.344
## Marital_NEWDivorced                   -0.074830  0.927901  0.072972 -1.025
## Marital_NEWMarried                    -0.363425  0.695291  0.060128 -6.044
## Marital_NEWSeparated                   0.077233  1.080294  0.163735  0.472
## Marital_NEWUnknown                    -0.186985  0.829457  0.128393 -1.456
## Marital_NEWwidowed                    -0.024129  0.976160  0.080000 -0.302
## PrimarySiteC32.1-Supraglottis          0.315416  1.370829  0.050469  6.250
## PrimarySiteC32.2-Subglottis            0.344408  1.411154  0.136351  2.526
## AJCC6thStage_NEW2                      0.587213  1.798967  0.075750  7.752
## AJCC6thStage_NEW3                      1.148555  3.153634  0.072458 15.851
## AJCC6thStage_NEW4                      1.632233  5.115285  0.070822 23.047
## TreatmentGrpLocal Surgery             -0.360669  0.697210  0.129022 -2.795
## TreatmentGrpLocal surgery + radiation -0.246354  0.781646  0.071785 -3.432
## TreatmentGrpOpen surgery              -0.023314  0.976955  0.068867 -0.339
## LNDxexamined                          -0.010435  0.989620  0.067436 -0.155
##                                       Pr(>|z|)    
## Age                                    < 2e-16 ***
## female                                 0.05915 .  
## Race_NEWAmerican Indian/Alaska Native  0.70785    
## Race_NEWAsian or Pacific Islander      0.26965    
## Race_NEWBlack                          0.80639    
## Race_NEWUnknown                        0.17905    
## Marital_NEWDivorced                    0.30514    
## Marital_NEWMarried                    1.50e-09 ***
## Marital_NEWSeparated                   0.63714    
## Marital_NEWUnknown                     0.14530    
## Marital_NEWwidowed                     0.76295    
## PrimarySiteC32.1-Supraglottis         4.11e-10 ***
## PrimarySiteC32.2-Subglottis            0.01154 *  
## AJCC6thStage_NEW2                     9.04e-15 ***
## AJCC6thStage_NEW3                      < 2e-16 ***
## AJCC6thStage_NEW4                      < 2e-16 ***
## TreatmentGrpLocal Surgery              0.00518 ** 
## TreatmentGrpLocal surgery + radiation  0.00060 ***
## TreatmentGrpOpen surgery               0.73496    
## LNDxexamined                           0.87703    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##                                       exp(coef) exp(-coef) lower .95
## Age                                      1.0345     0.9667    1.0301
## female                                   0.9021     1.1086    0.8105
## Race_NEWAmerican Indian/Alaska Native    0.8928     1.1201    0.4932
## Race_NEWAsian or Pacific Islander        1.1388     0.8781    0.9041
## Race_NEWBlack                            0.9855     1.0147    0.8772
## Race_NEWUnknown                          0.4598     2.1746    0.1481
## Marital_NEWDivorced                      0.9279     1.0777    0.8042
## Marital_NEWMarried                       0.6953     1.4382    0.6180
## Marital_NEWSeparated                     1.0803     0.9257    0.7837
## Marital_NEWUnknown                       0.8295     1.2056    0.6449
## Marital_NEWwidowed                       0.9762     1.0244    0.8345
## PrimarySiteC32.1-Supraglottis            1.3708     0.7295    1.2417
## PrimarySiteC32.2-Subglottis              1.4112     0.7086    1.0802
## AJCC6thStage_NEW2                        1.7990     0.5559    1.5508
## AJCC6thStage_NEW3                        3.1536     0.3171    2.7361
## AJCC6thStage_NEW4                        5.1153     0.1955    4.4523
## TreatmentGrpLocal Surgery                0.6972     1.4343    0.5414
## TreatmentGrpLocal surgery + radiation    0.7816     1.2794    0.6791
## TreatmentGrpOpen surgery                 0.9770     1.0236    0.8536
## LNDxexamined                             0.9896     1.0105    0.8671
##                                       upper .95
## Age                                      1.0389
## female                                   1.0040
## Race_NEWAmerican Indian/Alaska Native    1.6159
## Race_NEWAsian or Pacific Islander        1.4346
## Race_NEWBlack                            1.1072
## Race_NEWUnknown                          1.4281
## Marital_NEWDivorced                      1.0706
## Marital_NEWMarried                       0.7823
## Marital_NEWSeparated                     1.4891
## Marital_NEWUnknown                       1.0668
## Marital_NEWwidowed                       1.1419
## PrimarySiteC32.1-Supraglottis            1.5134
## PrimarySiteC32.2-Subglottis              1.8435
## AJCC6thStage_NEW2                        2.0869
## AJCC6thStage_NEW3                        3.6349
## AJCC6thStage_NEW4                        5.8770
## TreatmentGrpLocal Surgery                0.8978
## TreatmentGrpLocal surgery + radiation    0.8997
## TreatmentGrpOpen surgery                 1.1181
## LNDxexamined                             1.1295
## 
## Concordance= 0.738  (se = 0.005 )
## Likelihood ratio test= 1493  on 20 df,   p=<2e-16
## Wald test            = 1369  on 20 df,   p=<2e-16
## Score (logrank) test = 1569  on 20 df,   p=<2e-16
# Evaluate model assumption 
temp1=cox.zph(fit1)
print(temp1)
##                                            rho    chisq        p
## Age                                   -0.08970  19.7404 8.87e-06
## female                                -0.00218   0.0106 9.18e-01
## Race_NEWAmerican Indian/Alaska Native  0.00508   0.0582 8.09e-01
## Race_NEWAsian or Pacific Islander      0.00883   0.1776 6.73e-01
## Race_NEWBlack                          0.03789   3.3098 6.89e-02
## Race_NEWUnknown                       -0.02778   1.7467 1.86e-01
## Marital_NEWDivorced                    0.03582   2.9155 8.77e-02
## Marital_NEWMarried                     0.06923  10.8841 9.70e-04
## Marital_NEWSeparated                  -0.01649   0.6213 4.31e-01
## Marital_NEWUnknown                     0.01653   0.6246 4.29e-01
## Marital_NEWwidowed                     0.01986   0.8810 3.48e-01
## PrimarySiteC32.1-Supraglottis          0.01137   0.3393 5.60e-01
## PrimarySiteC32.2-Subglottis           -0.01089   0.2739 6.01e-01
## AJCC6thStage_NEW2                     -0.04826   5.6146 1.78e-02
## AJCC6thStage_NEW3                     -0.11943  37.2450 1.04e-09
## AJCC6thStage_NEW4                     -0.13714  50.1413 1.43e-12
## TreatmentGrpLocal Surgery             -0.08256  16.3496 5.27e-05
## TreatmentGrpLocal surgery + radiation -0.04454   4.5447 3.30e-02
## TreatmentGrpOpen surgery              -0.00894   0.2020 6.53e-01
## LNDxexamined                           0.03163   2.4550 1.17e-01
## GLOBAL                                      NA 108.5415 3.62e-14

We find out that the data does not satisfy a proportional hazards assumption

Try a different model

Fit nonparametric additive hazards model which allows every independent variable to have time-varying effects

LarynxSCC_DSS$age.c=LarynxSCC_DSS$Age-mean(LarynxSCC_DSS$Age)


add1=aalen(surv~I(exp(age.c/10))+female+Race_NEW+Marital_NEW
           +PrimarySite+AJCC6thStage_NEW+TreatmentGrp+LNDx,
           data=LarynxSCC_DSS,residuals = 1)
summary(add1)
## Additive Aalen Model 
## 
## Test for nonparametric terms 
## 
## Test for non-significant effects 
##                                       Supremum-test of significance
## (Intercept)                                                     Inf
## I(exp(age.c/10))                                                Inf
## female                                                          Inf
## Race_NEWAmerican Indian/Alaska Native                           Inf
## Race_NEWAsian or Pacific Islander                               Inf
## Race_NEWBlack                                                   Inf
## Race_NEWUnknown                                                 Inf
## Marital_NEWDivorced                                             Inf
## Marital_NEWMarried                                              Inf
## Marital_NEWSeparated                                            Inf
## Marital_NEWUnknown                                              Inf
## Marital_NEWwidowed                                              Inf
## PrimarySiteC32.1-Supraglottis                                   Inf
## PrimarySiteC32.2-Subglottis                                     Inf
## AJCC6thStage_NEW2                                               Inf
## AJCC6thStage_NEW3                                               Inf
## AJCC6thStage_NEW4                                               Inf
## TreatmentGrpLocal Surgery                                       Inf
## TreatmentGrpLocal surgery + radiation                           Inf
## TreatmentGrpOpen surgery                                        Inf
## LNDxexamined                                                    Inf
##                                       p-value H_0: B(t)=0
## (Intercept)                                             0
## I(exp(age.c/10))                                        0
## female                                                  0
## Race_NEWAmerican Indian/Alaska Native                   0
## Race_NEWAsian or Pacific Islander                       0
## Race_NEWBlack                                           0
## Race_NEWUnknown                                         0
## Marital_NEWDivorced                                     0
## Marital_NEWMarried                                      0
## Marital_NEWSeparated                                    0
## Marital_NEWUnknown                                      0
## Marital_NEWwidowed                                      0
## PrimarySiteC32.1-Supraglottis                           0
## PrimarySiteC32.2-Subglottis                             0
## AJCC6thStage_NEW2                                       0
## AJCC6thStage_NEW3                                       0
## AJCC6thStage_NEW4                                       0
## TreatmentGrpLocal Surgery                               0
## TreatmentGrpLocal surgery + radiation                   0
## TreatmentGrpOpen surgery                                0
## LNDxexamined                                            0
## 
## Test for time invariant effects 
##                                             Kolmogorov-Smirnov test
## (Intercept)                                                 0.03380
## I(exp(age.c/10))                                            0.01140
## female                                                      0.02200
## Race_NEWAmerican Indian/Alaska Native                       0.03450
## Race_NEWAsian or Pacific Islander                           0.03340
## Race_NEWBlack                                               0.01430
## Race_NEWUnknown                                             0.03170
## Marital_NEWDivorced                                         0.01590
## Marital_NEWMarried                                          0.04520
## Marital_NEWSeparated                                        0.05670
## Marital_NEWUnknown                                          0.02550
## Marital_NEWwidowed                                          0.02720
## PrimarySiteC32.1-Supraglottis                               0.03360
## PrimarySiteC32.2-Subglottis                                 0.12100
## AJCC6thStage_NEW2                                           0.03630
## AJCC6thStage_NEW3                                           0.10900
## AJCC6thStage_NEW4                                           0.18300
## TreatmentGrpLocal Surgery                                   0.01660
## TreatmentGrpLocal surgery + radiation                       0.00931
## TreatmentGrpOpen surgery                                    0.01930
## LNDxexamined                                                0.02170
##                                       p-value H_0:constant effect
## (Intercept)                                                 0.258
## I(exp(age.c/10))                                            0.098
## female                                                      0.536
## Race_NEWAmerican Indian/Alaska Native                       0.929
## Race_NEWAsian or Pacific Islander                           0.666
## Race_NEWBlack                                               0.889
## Race_NEWUnknown                                             0.716
## Marital_NEWDivorced                                         0.955
## Marital_NEWMarried                                          0.090
## Marital_NEWSeparated                                        0.453
## Marital_NEWUnknown                                          0.787
## Marital_NEWwidowed                                          0.897
## PrimarySiteC32.1-Supraglottis                               0.254
## PrimarySiteC32.2-Subglottis                                 0.494
## AJCC6thStage_NEW2                                           0.109
## AJCC6thStage_NEW3                                           0.000
## AJCC6thStage_NEW4                                           0.000
## TreatmentGrpLocal Surgery                                   0.644
## TreatmentGrpLocal surgery + radiation                       0.913
## TreatmentGrpOpen surgery                                    0.923
## LNDxexamined                                                0.901
##                                               Cramer von Mises test
## (Intercept)                                                 0.04010
## I(exp(age.c/10))                                            0.00486
## female                                                      0.02130
## Race_NEWAmerican Indian/Alaska Native                       0.01910
## Race_NEWAsian or Pacific Islander                           0.04230
## Race_NEWBlack                                               0.00677
## Race_NEWUnknown                                             0.04750
## Marital_NEWDivorced                                         0.00586
## Marital_NEWMarried                                          0.07550
## Marital_NEWSeparated                                        0.09620
## Marital_NEWUnknown                                          0.01430
## Marital_NEWwidowed                                          0.01480
## PrimarySiteC32.1-Supraglottis                               0.03000
## PrimarySiteC32.2-Subglottis                                 0.33100
## AJCC6thStage_NEW2                                           0.03760
## AJCC6thStage_NEW3                                           0.47000
## AJCC6thStage_NEW4                                           1.59000
## TreatmentGrpLocal Surgery                                   0.00428
## TreatmentGrpLocal surgery + radiation                       0.00154
## TreatmentGrpOpen surgery                                    0.00949
## LNDxexamined                                                0.01010
##                                       p-value H_0:constant effect
## (Intercept)                                                 0.182
## I(exp(age.c/10))                                            0.024
## female                                                      0.272
## Race_NEWAmerican Indian/Alaska Native                       0.968
## Race_NEWAsian or Pacific Islander                           0.581
## Race_NEWBlack                                               0.758
## Race_NEWUnknown                                             0.626
## Marital_NEWDivorced                                         0.907
## Marital_NEWMarried                                          0.053
## Marital_NEWSeparated                                        0.506
## Marital_NEWUnknown                                          0.803
## Marital_NEWwidowed                                          0.862
## PrimarySiteC32.1-Supraglottis                               0.225
## PrimarySiteC32.2-Subglottis                                 0.378
## AJCC6thStage_NEW2                                           0.102
## AJCC6thStage_NEW3                                           0.000
## AJCC6thStage_NEW4                                           0.000
## TreatmentGrpLocal Surgery                                   0.794
## TreatmentGrpLocal surgery + radiation                       0.928
## TreatmentGrpOpen surgery                                    0.859
## LNDxexamined                                                0.865
## 
##    
##    
##   Call: 
## aalen(formula = surv ~ I(exp(age.c/10)) + female + Race_NEW + 
##     Marital_NEW + PrimarySite + AJCC6thStage_NEW + TreatmentGrp + 
##     LNDx, data = LarynxSCC_DSS, residuals = 1)
plot(add1,specific.comps = 3)

AJCC6thStage_NEW failed the tests for constant effect

Fit semi-parametric additive hazards model

LarynxSCC_DSS$age.c=LarynxSCC_DSS$Age-mean(LarynxSCC_DSS$Age)

add2=aalen(surv~const(I(exp(age.c/10)))+const(female)+const(Race_NEW)+const(Marital_NEW)
           +const(PrimarySite)+AJCC6thStage_NEW+const(TreatmentGrp)+const(LNDx),
           data=LarynxSCC_DSS)
summary(add2)
## Additive Aalen Model 
## 
## Test for nonparametric terms 
## 
## Test for non-significant effects 
##                   Supremum-test of significance p-value H_0: B(t)=0
## (Intercept)                                4.14                   0
## AJCC6thStage_NEW2                          7.40                   0
## AJCC6thStage_NEW3                         13.40                   0
## AJCC6thStage_NEW4                         20.00                   0
## 
## Test for time invariant effects 
##                         Kolmogorov-Smirnov test
## (Intercept)                              0.0103
## AJCC6thStage_NEW2                        0.0467
## AJCC6thStage_NEW3                        0.1170
## AJCC6thStage_NEW4                        0.1910
##                   p-value H_0:constant effect
## (Intercept)                             0.334
## AJCC6thStage_NEW2                       0.000
## AJCC6thStage_NEW3                       0.000
## AJCC6thStage_NEW4                       0.000
##                           Cramer von Mises test
## (Intercept)                             0.00362
## AJCC6thStage_NEW2                       0.07710
## AJCC6thStage_NEW3                       0.56400
## AJCC6thStage_NEW4                       1.80000
##                   p-value H_0:constant effect
## (Intercept)                             0.296
## AJCC6thStage_NEW2                       0.000
## AJCC6thStage_NEW3                       0.000
## AJCC6thStage_NEW4                       0.000
## 
## Parametric terms :     
##                                                  Coef.       SE Robust SE
## const(I(exp(age.c/10)))                       6.11e-04 5.21e-05  5.87e-05
## const(female)                                -5.04e-04 1.99e-04  2.03e-04
## const(Race_NEW)American Indian/Alaska Native -5.14e-04 9.80e-04  8.91e-04
## const(Race_NEW)Asian or Pacific Islander      7.32e-04 4.62e-04  4.68e-04
## const(Race_NEW)Black                         -6.12e-05 2.33e-04  2.30e-04
## const(Race_NEW)Unknown                       -1.16e-03 7.73e-04  8.84e-04
## const(Marital_NEW)Divorced                    8.86e-05 3.17e-04  3.30e-04
## const(Marital_NEW)Married                    -8.97e-04 2.30e-04  2.36e-04
## const(Marital_NEW)Separated                   6.45e-04 7.67e-04  7.69e-04
## const(Marital_NEW)Unknown                    -3.52e-04 4.10e-04  3.99e-04
## const(Marital_NEW)widowed                     5.38e-04 3.80e-04  3.84e-04
## const(PrimarySite)C32.1-Supraglottis          1.24e-03 2.12e-04  2.17e-04
## const(PrimarySite)C32.2-Subglottis            1.63e-03 8.42e-04  8.76e-04
## const(TreatmentGrp)Local Surgery             -6.94e-04 1.98e-04  2.11e-04
## const(TreatmentGrp)Local surgery + radiation -6.06e-04 1.59e-04  1.61e-04
## const(TreatmentGrp)Open surgery              -1.19e-04 3.37e-04  3.35e-04
## const(LNDx)examined                          -1.79e-04 3.76e-04  3.75e-04
##                                                   z    P-val lower2.5%
## const(I(exp(age.c/10)))                      10.400 0.00e+00  5.09e-04
## const(female)                                -2.480 1.31e-02 -8.94e-04
## const(Race_NEW)American Indian/Alaska Native -0.577 5.64e-01 -2.43e-03
## const(Race_NEW)Asian or Pacific Islander      1.560 1.18e-01 -1.74e-04
## const(Race_NEW)Black                         -0.266 7.90e-01 -5.18e-04
## const(Race_NEW)Unknown                       -1.320 1.88e-01 -2.68e-03
## const(Marital_NEW)Divorced                    0.269 7.88e-01 -5.33e-04
## const(Marital_NEW)Married                    -3.810 1.41e-04 -1.35e-03
## const(Marital_NEW)Separated                   0.839 4.02e-01 -8.58e-04
## const(Marital_NEW)Unknown                    -0.882 3.78e-01 -1.16e-03
## const(Marital_NEW)widowed                     1.400 1.61e-01 -2.07e-04
## const(PrimarySite)C32.1-Supraglottis          5.700 1.20e-08  8.24e-04
## const(PrimarySite)C32.2-Subglottis            1.870 6.21e-02 -2.03e-05
## const(TreatmentGrp)Local Surgery             -3.290 9.87e-04 -1.08e-03
## const(TreatmentGrp)Local surgery + radiation -3.780 1.60e-04 -9.18e-04
## const(TreatmentGrp)Open surgery              -0.356 7.22e-01 -7.80e-04
## const(LNDx)examined                          -0.477 6.33e-01 -9.16e-04
##                                              upper97.5%
## const(I(exp(age.c/10)))                        0.000713
## const(female)                                 -0.000114
## const(Race_NEW)American Indian/Alaska Native   0.001410
## const(Race_NEW)Asian or Pacific Islander       0.001640
## const(Race_NEW)Black                           0.000395
## const(Race_NEW)Unknown                         0.000355
## const(Marital_NEW)Divorced                     0.000710
## const(Marital_NEW)Married                     -0.000446
## const(Marital_NEW)Separated                    0.002150
## const(Marital_NEW)Unknown                      0.000452
## const(Marital_NEW)widowed                      0.001280
## const(PrimarySite)C32.1-Supraglottis           0.001660
## const(PrimarySite)C32.2-Subglottis             0.003280
## const(TreatmentGrp)Local Surgery              -0.000306
## const(TreatmentGrp)Local surgery + radiation  -0.000294
## const(TreatmentGrp)Open surgery                0.000542
## const(LNDx)examined                            0.000558
##    
##   Call: 
## aalen(formula = surv ~ const(I(exp(age.c/10))) + const(female) + 
##     const(Race_NEW) + const(Marital_NEW) + const(PrimarySite) + 
##     AJCC6thStage_NEW + const(TreatmentGrp) + const(LNDx), data = LarynxSCC_DSS)

PS Matching and check balance

library(MatchIt)
## Warning: package 'MatchIt' was built under R version 3.5.3
library("optmatch")
## Warning: package 'optmatch' was built under R version 3.5.3
## The optmatch package has an academic license. Enter relaxinfo() for more information.
library(cobalt)
## Warning: package 'cobalt' was built under R version 3.5.3
## 
## Attaching package: 'cobalt'
## The following object is masked from 'package:MatchIt':
## 
##     lalonde
# Now try full matching # 
m.out=matchit(female~Age+TreatmentGrp+Race_NEW+Marital_NEW+LNDx, data=LarynxSCC_DSS, 
               method="full",exact = c("PrimarySite","AJCC6thStage_NEW",options("optmatch_max_problem_size" = Inf)))
## Warning in optmatch::fullmatch(d, ...): Without 'data' argument the order of the match is not guaranteed
##     to be the same as your original data.
summary(m.out,standardize = T)
## 
## Call:
## matchit(formula = female ~ Age + TreatmentGrp + Race_NEW + Marital_NEW + 
##     LNDx, data = LarynxSCC_DSS, method = "full", exact = c("PrimarySite", 
##     "AJCC6thStage_NEW", options(optmatch_max_problem_size = Inf)))
## 
## Summary of balance for all data:
##                                       Means Treated Means Control
## distance                                     0.2438        0.1830
## Age                                         63.4412       65.2972
## TreatmentGrpRadiation only                   0.6499        0.6099
## TreatmentGrpLocal Surgery                    0.0659        0.0769
## TreatmentGrpLocal surgery + radiation        0.1447        0.1667
## TreatmentGrpOpen surgery                     0.1396        0.1465
## Race_NEWAmerican Indian/Alaska Native        0.0047        0.0050
## Race_NEWAsian or Pacific Islander            0.0202        0.0313
## Race_NEWBlack                                0.1443        0.1425
## Race_NEWUnknown                              0.0013        0.0043
## Marital_NEWDivorced                          0.1447        0.1304
## Marital_NEWMarried                           0.3958        0.5754
## Marital_NEWSeparated                         0.0154        0.0135
## Marital_NEWUnknown                           0.0432        0.0403
## Marital_NEWwidowed                           0.2335        0.0784
## LNDxexamined                                 0.1708        0.1479
##                                       Std. Mean Diff. eCDF Med eCDF Mean
## distance                                       0.4972   0.1703    0.1494
## Age                                           -0.1562   0.0146    0.0239
## TreatmentGrpRadiation only                     0.0837   0.0200    0.0200
## TreatmentGrpLocal Surgery                     -0.0446   0.0055    0.0055
## TreatmentGrpLocal surgery + radiation         -0.0626   0.0110    0.0110
## TreatmentGrpOpen surgery                      -0.0198   0.0034    0.0034
## Race_NEWAmerican Indian/Alaska Native         -0.0033   0.0001    0.0001
## Race_NEWAsian or Pacific Islander             -0.0794   0.0056    0.0056
## Race_NEWBlack                                  0.0052   0.0009    0.0009
## Race_NEWUnknown                               -0.0869   0.0015    0.0015
## Marital_NEWDivorced                            0.0406   0.0071    0.0071
## Marital_NEWMarried                            -0.3672   0.0898    0.0898
## Marital_NEWSeparated                           0.0158   0.0010    0.0010
## Marital_NEWUnknown                             0.0144   0.0015    0.0015
## Marital_NEWwidowed                             0.3667   0.0776    0.0776
## LNDxexamined                                   0.0608   0.0114    0.0114
##                                       eCDF Max
## distance                                0.2327
## Age                                     0.0731
## TreatmentGrpRadiation only              0.0399
## TreatmentGrpLocal Surgery               0.0111
## TreatmentGrpLocal surgery + radiation   0.0220
## TreatmentGrpOpen surgery                0.0069
## Race_NEWAmerican Indian/Alaska Native   0.0002
## Race_NEWAsian or Pacific Islander       0.0112
## Race_NEWBlack                           0.0018
## Race_NEWUnknown                         0.0031
## Marital_NEWDivorced                     0.0143
## Marital_NEWMarried                      0.1796
## Marital_NEWSeparated                    0.0019
## Marital_NEWUnknown                      0.0029
## Marital_NEWwidowed                      0.1551
## LNDxexamined                            0.0229
## 
## 
## Summary of balance for matched data:
##                                       Means Treated Means Control
## distance                                     0.2438        0.2438
## Age                                         63.4412       62.9968
## TreatmentGrpRadiation only                   0.6499        0.6528
## TreatmentGrpLocal Surgery                    0.0659        0.0677
## TreatmentGrpLocal surgery + radiation        0.1447        0.1313
## TreatmentGrpOpen surgery                     0.1396        0.1481
## Race_NEWAmerican Indian/Alaska Native        0.0047        0.0019
## Race_NEWAsian or Pacific Islander            0.0202        0.0129
## Race_NEWBlack                                0.1443        0.1928
## Race_NEWUnknown                              0.0013        0.0015
## Marital_NEWDivorced                          0.1447        0.1327
## Marital_NEWMarried                           0.3958        0.3990
## Marital_NEWSeparated                         0.0154        0.0168
## Marital_NEWUnknown                           0.0432        0.0489
## Marital_NEWwidowed                           0.2335        0.2286
## LNDxexamined                                 0.1708        0.1750
##                                       Std. Mean Diff. eCDF Med eCDF Mean
## distance                                      -0.0001   0.0036    0.0061
## Age                                            0.0374   0.0084    0.0103
## TreatmentGrpRadiation only                    -0.0062   0.0046    0.0046
## TreatmentGrpLocal Surgery                     -0.0076   0.0030    0.0030
## TreatmentGrpLocal surgery + radiation          0.0379   0.0052    0.0052
## TreatmentGrpOpen surgery                      -0.0245   0.0036    0.0036
## Race_NEWAmerican Indian/Alaska Native          0.0410   0.0010    0.0010
## Race_NEWAsian or Pacific Islander              0.0519   0.0020    0.0020
## Race_NEWBlack                                 -0.1378   0.0164    0.0164
## Race_NEWUnknown                               -0.0059   0.0002    0.0002
## Marital_NEWDivorced                            0.0339   0.0130    0.0130
## Marital_NEWMarried                            -0.0064   0.0106    0.0106
## Marital_NEWSeparated                          -0.0110   0.0016    0.0016
## Marital_NEWUnknown                            -0.0279   0.0056    0.0056
## Marital_NEWwidowed                             0.0116   0.0004    0.0004
## LNDxexamined                                  -0.0111   0.0004    0.0004
##                                       eCDF Max
## distance                                0.0232
## Age                                     0.0376
## TreatmentGrpRadiation only              0.0092
## TreatmentGrpLocal Surgery               0.0060
## TreatmentGrpLocal surgery + radiation   0.0104
## TreatmentGrpOpen surgery                0.0072
## Race_NEWAmerican Indian/Alaska Native   0.0020
## Race_NEWAsian or Pacific Islander       0.0040
## Race_NEWBlack                           0.0328
## Race_NEWUnknown                         0.0004
## Marital_NEWDivorced                     0.0260
## Marital_NEWMarried                      0.0212
## Marital_NEWSeparated                    0.0032
## Marital_NEWUnknown                      0.0112
## Marital_NEWwidowed                      0.0008
## LNDxexamined                            0.0008
## 
## Percent Balance Improvement:
##                                       Std. Mean Diff.   eCDF Med
## distance                                      99.9757    97.8863
## Age                                           76.0527    42.4724
## TreatmentGrpRadiation only                    92.5818    76.9688
## TreatmentGrpLocal Surgery                     83.0604    45.7825
## TreatmentGrpLocal surgery + radiation         39.5055    52.7730
## TreatmentGrpOpen surgery                     -23.7070    -4.9869
## Race_NEWAmerican Indian/Alaska Native      -1131.0098  -774.2415
## Race_NEWAsian or Pacific Islander             34.7183    64.1833
## Race_NEWBlack                              -2540.5865 -1688.1333
## Race_NEWUnknown                               93.2343    87.0363
## Marital_NEWDivorced                           16.5275   -82.1622
## Marital_NEWMarried                            98.2520    88.1965
## Marital_NEWSeparated                          30.2355   -64.3722
## Marital_NEWUnknown                           -94.6024  -283.8825
## Marital_NEWwidowed                            96.8497    99.4844
## LNDxexamined                                  81.6945    96.5056
##                                        eCDF Mean   eCDF Max
## distance                                 95.9160    90.0313
## Age                                      56.8591    48.5676
## TreatmentGrpRadiation only               76.9688    76.9688
## TreatmentGrpLocal Surgery                45.7825    45.7825
## TreatmentGrpLocal surgery + radiation    52.7730    52.7730
## TreatmentGrpOpen surgery                 -4.9869    -4.9869
## Race_NEWAmerican Indian/Alaska Native  -774.2415  -774.2415
## Race_NEWAsian or Pacific Islander        64.1833    64.1833
## Race_NEWBlack                         -1688.1333 -1688.1333
## Race_NEWUnknown                          87.0363    87.0363
## Marital_NEWDivorced                     -82.1622   -82.1622
## Marital_NEWMarried                       88.1965    88.1965
## Marital_NEWSeparated                    -64.3722   -64.3722
## Marital_NEWUnknown                     -283.8825  -283.8825
## Marital_NEWwidowed                       99.4844    99.4844
## LNDxexamined                             96.5056    96.5056
## 
## Sample sizes:
##           Control Treated
## All         13115    3173
## Matched     13115    3173
## Unmatched       0       0
## Discarded       0       0
m.data_full=match.data(m.out,group="all",distance = "distance",weights="weights",subclass = "subclass")

# Check balance by graphical evidence
bal.plot(m.out,var.name = "distance",which="both",type="histogram")+
  scale_fill_discrete(name="Sex",labels=c("Male","Female"))+
  ggtitle("")+xlab("Propensity Score")
## Scale for 'fill' is already present. Adding another scale for 'fill',
## which will replace the existing scale.

# Balance is good # 

Run additive hazards models on the post-matching data

surv2=Surv(time=m.data_full$SurvivalMonths,event= m.data_full$DSS_Larynx)

fit2=coxph(surv2~Age+female+Race_NEW+Marital_NEW+
             PrimarySite+AJCC6thStage_NEW+TreatmentGrp+LNDx, data=m.data_full,weights=weights)
summary(fit2)
## Call:
## coxph(formula = surv2 ~ Age + female + Race_NEW + Marital_NEW + 
##     PrimarySite + AJCC6thStage_NEW + TreatmentGrp + LNDx, data = m.data_full, 
##     weights = weights)
## 
##   n= 16288, number of events= 2266 
## 
##                                             coef  exp(coef)   se(coef)
## Age                                    0.0249215  1.0252346  0.0022551
## female                                -0.0124816  0.9875960  0.0531394
## Race_NEWAmerican Indian/Alaska Native  0.2168965  1.2422155  0.3909311
## Race_NEWAsian or Pacific Islander     -0.1541069  0.8571804  0.1941255
## Race_NEWBlack                         -0.0762215  0.9266109  0.0560435
## Race_NEWUnknown                       -0.8449916  0.4295610  1.1611683
## Marital_NEWDivorced                   -0.1213746  0.8857021  0.0738707
## Marital_NEWMarried                    -0.3957535  0.6731726  0.0634560
## Marital_NEWSeparated                   0.2340891  1.2637571  0.1537547
## Marital_NEWUnknown                    -0.3150317  0.7297657  0.1298756
## Marital_NEWwidowed                    -0.0670477  0.9351506  0.0706845
## PrimarySiteC32.1-Supraglottis          0.3235159  1.3819781  0.0517275
## PrimarySiteC32.2-Subglottis            0.5943498  1.8118525  0.1247383
## AJCC6thStage_NEW2                      0.5381740  1.7128764  0.0817326
## AJCC6thStage_NEW3                      1.0675630  2.9082834  0.0771864
## AJCC6thStage_NEW4                      1.6208445  5.0573595  0.0742454
## TreatmentGrpLocal Surgery             -0.1152530  0.8911407  0.1257914
## TreatmentGrpLocal surgery + radiation -0.0005749  0.9994253  0.0758042
## TreatmentGrpOpen surgery               0.0725655  1.0752633  0.0687561
## LNDxexamined                          -0.0429823  0.9579283  0.0656775
##                                            z Pr(>|z|)    
## Age                                   11.051  < 2e-16 ***
## female                                -0.235   0.8143    
## Race_NEWAmerican Indian/Alaska Native  0.555   0.5790    
## Race_NEWAsian or Pacific Islander     -0.794   0.4273    
## Race_NEWBlack                         -1.360   0.1738    
## Race_NEWUnknown                       -0.728   0.4668    
## Marital_NEWDivorced                   -1.643   0.1004    
## Marital_NEWMarried                    -6.237 4.47e-10 ***
## Marital_NEWSeparated                   1.522   0.1279    
## Marital_NEWUnknown                    -2.426   0.0153 *  
## Marital_NEWwidowed                    -0.949   0.3428    
## PrimarySiteC32.1-Supraglottis          6.254 3.99e-10 ***
## PrimarySiteC32.2-Subglottis            4.765 1.89e-06 ***
## AJCC6thStage_NEW2                      6.585 4.56e-11 ***
## AJCC6thStage_NEW3                     13.831  < 2e-16 ***
## AJCC6thStage_NEW4                     21.831  < 2e-16 ***
## TreatmentGrpLocal Surgery             -0.916   0.3595    
## TreatmentGrpLocal surgery + radiation -0.008   0.9939    
## TreatmentGrpOpen surgery               1.055   0.2912    
## LNDxexamined                          -0.654   0.5128    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##                                       exp(coef) exp(-coef) lower .95
## Age                                      1.0252     0.9754   1.02071
## female                                   0.9876     1.0126   0.88991
## Race_NEWAmerican Indian/Alaska Native    1.2422     0.8050   0.57735
## Race_NEWAsian or Pacific Islander        0.8572     1.1666   0.58591
## Race_NEWBlack                            0.9266     1.0792   0.83022
## Race_NEWUnknown                          0.4296     2.3280   0.04412
## Marital_NEWDivorced                      0.8857     1.1290   0.76632
## Marital_NEWMarried                       0.6732     1.4855   0.59445
## Marital_NEWSeparated                     1.2638     0.7913   0.93495
## Marital_NEWUnknown                       0.7298     1.3703   0.56576
## Marital_NEWwidowed                       0.9352     1.0693   0.81417
## PrimarySiteC32.1-Supraglottis            1.3820     0.7236   1.24874
## PrimarySiteC32.2-Subglottis              1.8119     0.5519   1.41888
## AJCC6thStage_NEW2                        1.7129     0.5838   1.45934
## AJCC6thStage_NEW3                        2.9083     0.3438   2.49997
## AJCC6thStage_NEW4                        5.0574     0.1977   4.37246
## TreatmentGrpLocal Surgery                0.8911     1.1222   0.69642
## TreatmentGrpLocal surgery + radiation    0.9994     1.0006   0.86144
## TreatmentGrpOpen surgery                 1.0753     0.9300   0.93970
## LNDxexamined                             0.9579     1.0439   0.84223
##                                       upper .95
## Age                                      1.0298
## female                                   1.0960
## Race_NEWAmerican Indian/Alaska Native    2.6727
## Race_NEWAsian or Pacific Islander        1.2540
## Race_NEWBlack                            1.0342
## Race_NEWUnknown                          4.1823
## Marital_NEWDivorced                      1.0237
## Marital_NEWMarried                       0.7623
## Marital_NEWSeparated                     1.7082
## Marital_NEWUnknown                       0.9413
## Marital_NEWwidowed                       1.0741
## PrimarySiteC32.1-Supraglottis            1.5294
## PrimarySiteC32.2-Subglottis              2.3137
## AJCC6thStage_NEW2                        2.0105
## AJCC6thStage_NEW3                        3.3833
## AJCC6thStage_NEW4                        5.8495
## TreatmentGrpLocal Surgery                1.1403
## TreatmentGrpLocal surgery + radiation    1.1595
## TreatmentGrpOpen surgery                 1.2304
## LNDxexamined                             1.0895
## 
## Concordance= 0.724  (se = 0.01 )
## Likelihood ratio test= 1266  on 20 df,   p=<2e-16
## Wald test            = 1139  on 20 df,   p=<2e-16
## Score (logrank) test = 1307  on 20 df,   p=<2e-16
ggforest(fit1,data=LarynxSCC_DSS)
## Warning: Removed 6 rows containing missing values (geom_errorbar).

temp1=cox.zph(fit2)
print(temp1)
##                                            rho    chisq        p
## Age                                   -0.08115  17.5677 2.77e-05
## female                                -0.02855   1.8809 1.70e-01
## Race_NEWAmerican Indian/Alaska Native  0.01263   0.5999 4.39e-01
## Race_NEWAsian or Pacific Islander      0.00174   0.0189 8.91e-01
## Race_NEWBlack                          0.01866   0.7199 3.96e-01
## Race_NEWUnknown                       -0.03039   8.4490 3.65e-03
## Marital_NEWDivorced                    0.03456   2.7899 9.49e-02
## Marital_NEWMarried                     0.07274  13.7118 2.13e-04
## Marital_NEWSeparated                  -0.01387   0.3899 5.32e-01
## Marital_NEWUnknown                     0.01514   0.5415 4.62e-01
## Marital_NEWwidowed                     0.02127   0.8711 3.51e-01
## PrimarySiteC32.1-Supraglottis          0.02367   1.5595 2.12e-01
## PrimarySiteC32.2-Subglottis            0.01260   0.3125 5.76e-01
## AJCC6thStage_NEW2                     -0.05526   8.5787 3.40e-03
## AJCC6thStage_NEW3                     -0.13718  55.9945 7.27e-14
## AJCC6thStage_NEW4                     -0.14456  61.5838 4.24e-15
## TreatmentGrpLocal Surgery             -0.08996  18.6807 1.55e-05
## TreatmentGrpLocal surgery + radiation -0.03759   3.6229 5.70e-02
## TreatmentGrpOpen surgery              -0.00600   0.0910 7.63e-01
## LNDxexamined                           0.01782   0.7453 3.88e-01
## GLOBAL                                      NA 138.4661 9.88e-20
m.data_full$age.c=m.data_full$Age-mean(m.data_full$Age)

add3=aalen(surv2~I(exp(age.c/10))+female+Race_NEW+Marital_NEW+TreatmentGrp+LNDx,
           data=m.data_full, m.data_full$weights,residuals = 1)
## Warning in times > start.time: longer object length is not a multiple of
## shorter object length
summary(add3)
## Additive Aalen Model 
## 
## Test for nonparametric terms 
## 
## Test for non-significant effects 
##                                       Supremum-test of significance
## (Intercept)                                                     Inf
## I(exp(age.c/10))                                                Inf
## female                                                          Inf
## Race_NEWAmerican Indian/Alaska Native                           Inf
## Race_NEWAsian or Pacific Islander                               Inf
## Race_NEWBlack                                                   Inf
## Race_NEWUnknown                                                 Inf
## Marital_NEWDivorced                                             Inf
## Marital_NEWMarried                                              Inf
## Marital_NEWSeparated                                            Inf
## Marital_NEWUnknown                                              Inf
## Marital_NEWwidowed                                              Inf
## TreatmentGrpLocal Surgery                                       Inf
## TreatmentGrpLocal surgery + radiation                           Inf
## TreatmentGrpOpen surgery                                        Inf
## LNDxexamined                                                    Inf
##                                       p-value H_0: B(t)=0
## (Intercept)                                             0
## I(exp(age.c/10))                                        0
## female                                                  0
## Race_NEWAmerican Indian/Alaska Native                   0
## Race_NEWAsian or Pacific Islander                       0
## Race_NEWBlack                                           0
## Race_NEWUnknown                                         0
## Marital_NEWDivorced                                     0
## Marital_NEWMarried                                      0
## Marital_NEWSeparated                                    0
## Marital_NEWUnknown                                      0
## Marital_NEWwidowed                                      0
## TreatmentGrpLocal Surgery                               0
## TreatmentGrpLocal surgery + radiation                   0
## TreatmentGrpOpen surgery                                0
## LNDxexamined                                            0
## 
## Test for time invariant effects 
##                                             Kolmogorov-Smirnov test
## (Intercept)                                                 0.12600
## I(exp(age.c/10))                                            0.00878
## female                                                      0.03270
## Race_NEWAmerican Indian/Alaska Native                       0.03280
## Race_NEWAsian or Pacific Islander                           0.03560
## Race_NEWBlack                                               0.04380
## Race_NEWUnknown                                             0.03770
## Marital_NEWDivorced                                         0.04360
## Marital_NEWMarried                                          0.08340
## Marital_NEWSeparated                                        0.04550
## Marital_NEWUnknown                                          0.06860
## Marital_NEWwidowed                                          0.06160
## TreatmentGrpLocal Surgery                                   0.06430
## TreatmentGrpLocal surgery + radiation                       0.04380
## TreatmentGrpOpen surgery                                    0.02830
## LNDxexamined                                                0.07550
##                                       p-value H_0:constant effect
## (Intercept)                                                 0.000
## I(exp(age.c/10))                                            0.250
## female                                                      0.606
## Race_NEWAmerican Indian/Alaska Native                       0.938
## Race_NEWAsian or Pacific Islander                           0.622
## Race_NEWBlack                                               0.447
## Race_NEWUnknown                                             0.538
## Marital_NEWDivorced                                         0.556
## Marital_NEWMarried                                          0.038
## Marital_NEWSeparated                                        0.789
## Marital_NEWUnknown                                          0.223
## Marital_NEWwidowed                                          0.508
## TreatmentGrpLocal Surgery                                   0.001
## TreatmentGrpLocal surgery + radiation                       0.013
## TreatmentGrpOpen surgery                                    0.683
## LNDxexamined                                                0.038
##                                               Cramer von Mises test
## (Intercept)                                                 0.74100
## I(exp(age.c/10))                                            0.00244
## female                                                      0.02710
## Race_NEWAmerican Indian/Alaska Native                       0.01840
## Race_NEWAsian or Pacific Islander                           0.04830
## Race_NEWBlack                                               0.10400
## Race_NEWUnknown                                             0.07480
## Marital_NEWDivorced                                         0.05800
## Marital_NEWMarried                                          0.30800
## Marital_NEWSeparated                                        0.02290
## Marital_NEWUnknown                                          0.17700
## Marital_NEWwidowed                                          0.15700
## TreatmentGrpLocal Surgery                                   0.18200
## TreatmentGrpLocal surgery + radiation                       0.07770
## TreatmentGrpOpen surgery                                    0.03060
## LNDxexamined                                                0.27500
##                                       p-value H_0:constant effect
## (Intercept)                                                 0.001
## I(exp(age.c/10))                                            0.124
## female                                                      0.675
## Race_NEWAmerican Indian/Alaska Native                       0.972
## Race_NEWAsian or Pacific Islander                           0.525
## Race_NEWBlack                                               0.404
## Race_NEWUnknown                                             0.510
## Marital_NEWDivorced                                         0.584
## Marital_NEWMarried                                          0.075
## Marital_NEWSeparated                                        0.937
## Marital_NEWUnknown                                          0.283
## Marital_NEWwidowed                                          0.428
## TreatmentGrpLocal Surgery                                   0.002
## TreatmentGrpLocal surgery + radiation                       0.011
## TreatmentGrpOpen surgery                                    0.484
## LNDxexamined                                                0.021
## 
##    
##    
##   Call: 
## aalen(formula = surv2 ~ I(exp(age.c/10)) + female + Race_NEW + 
##     Marital_NEW + TreatmentGrp + LNDx, data = m.data_full, start.time = m.data_full$weights, 
##     residuals = 1)

Stage and LDX failed test for constant effect

Fit semi-parametric additive hazards model

add4=aalen(surv2~const(I(exp(age.c/10)))+const(female)+const(Race_NEW)+const(Marital_NEW)
           +const(PrimarySite)+AJCC6thStage_NEW+const(TreatmentGrp)+LNDx,
           data=LarynxSCC_DSS,m.data_full$weights)
## Warning in times > start.time: longer object length is not a multiple of
## shorter object length
summary(add4)
## Additive Aalen Model 
## 
## Test for nonparametric terms 
## 
## Test for non-significant effects 
##                   Supremum-test of significance p-value H_0: B(t)=0
## (Intercept)                                4.40               0.000
## AJCC6thStage_NEW2                          7.23               0.000
## AJCC6thStage_NEW3                         13.20               0.000
## AJCC6thStage_NEW4                         19.30               0.000
## LNDxexamined                               2.96               0.087
## 
## Test for time invariant effects 
##                         Kolmogorov-Smirnov test
## (Intercept)                              0.1020
## AJCC6thStage_NEW2                        0.0789
## AJCC6thStage_NEW3                        0.1990
## AJCC6thStage_NEW4                        0.4000
## LNDxexamined                             0.0229
##                   p-value H_0:constant effect
## (Intercept)                             0.001
## AJCC6thStage_NEW2                       0.000
## AJCC6thStage_NEW3                       0.000
## AJCC6thStage_NEW4                       0.000
## LNDxexamined                            0.826
##                           Cramer von Mises test
## (Intercept)                              0.4670
## AJCC6thStage_NEW2                        0.4020
## AJCC6thStage_NEW3                        2.9900
## AJCC6thStage_NEW4                       11.8000
## LNDxexamined                             0.0152
##                   p-value H_0:constant effect
## (Intercept)                             0.000
## AJCC6thStage_NEW2                       0.000
## AJCC6thStage_NEW3                       0.000
## AJCC6thStage_NEW4                       0.000
## LNDxexamined                            0.768
## 
## Parametric terms :     
##                                                  Coef.       SE Robust SE
## const(I(exp(age.c/10)))                       5.93e-04 5.15e-05  5.79e-05
## const(female)                                -5.23e-04 1.98e-04  2.01e-04
## const(Race_NEW)American Indian/Alaska Native -4.54e-04 9.80e-04  8.98e-04
## const(Race_NEW)Asian or Pacific Islander      6.75e-04 4.57e-04  4.69e-04
## const(Race_NEW)Black                         -4.05e-05 2.32e-04  2.29e-04
## const(Race_NEW)Unknown                       -1.12e-03 7.73e-04  8.83e-04
## const(Marital_NEW)Divorced                    6.92e-05 3.17e-04  3.29e-04
## const(Marital_NEW)Married                    -9.10e-04 2.30e-04  2.35e-04
## const(Marital_NEW)Separated                   5.39e-04 7.58e-04  7.66e-04
## const(Marital_NEW)Unknown                    -3.45e-04 4.10e-04  4.00e-04
## const(Marital_NEW)widowed                     4.48e-04 3.77e-04  3.80e-04
## const(PrimarySite)C32.1-Supraglottis          1.22e-03 2.11e-04  2.17e-04
## const(PrimarySite)C32.2-Subglottis            1.48e-03 8.28e-04  8.58e-04
## const(TreatmentGrp)Local Surgery             -7.73e-04 1.92e-04  2.05e-04
## const(TreatmentGrp)Local surgery + radiation -6.01e-04 1.59e-04  1.60e-04
## const(TreatmentGrp)Open surgery              -1.75e-04 3.34e-04  3.31e-04
##                                                   z    P-val lower2.5%
## const(I(exp(age.c/10)))                      10.200 0.00e+00  0.000492
## const(female)                                -2.610 9.13e-03 -0.000911
## const(Race_NEW)American Indian/Alaska Native -0.505 6.14e-01 -0.002370
## const(Race_NEW)Asian or Pacific Islander      1.440 1.50e-01 -0.000221
## const(Race_NEW)Black                         -0.177 8.59e-01 -0.000495
## const(Race_NEW)Unknown                       -1.270 2.03e-01 -0.002640
## const(Marital_NEW)Divorced                    0.210 8.34e-01 -0.000552
## const(Marital_NEW)Married                    -3.870 1.09e-04 -0.001360
## const(Marital_NEW)Separated                   0.704 4.81e-01 -0.000947
## const(Marital_NEW)Unknown                    -0.862 3.89e-01 -0.001150
## const(Marital_NEW)widowed                     1.180 2.38e-01 -0.000291
## const(PrimarySite)C32.1-Supraglottis          5.620 1.88e-08  0.000806
## const(PrimarySite)C32.2-Subglottis            1.720 8.48e-02 -0.000143
## const(TreatmentGrp)Local Surgery             -3.760 1.70e-04 -0.001150
## const(TreatmentGrp)Local surgery + radiation -3.770 1.66e-04 -0.000913
## const(TreatmentGrp)Open surgery              -0.528 5.97e-01 -0.000830
##                                              upper97.5%
## const(I(exp(age.c/10)))                        0.000694
## const(female)                                 -0.000135
## const(Race_NEW)American Indian/Alaska Native   0.001470
## const(Race_NEW)Asian or Pacific Islander       0.001570
## const(Race_NEW)Black                           0.000414
## const(Race_NEW)Unknown                         0.000395
## const(Marital_NEW)Divorced                     0.000691
## const(Marital_NEW)Married                     -0.000459
## const(Marital_NEW)Separated                    0.002020
## const(Marital_NEW)Unknown                      0.000459
## const(Marital_NEW)widowed                      0.001190
## const(PrimarySite)C32.1-Supraglottis           0.001630
## const(PrimarySite)C32.2-Subglottis             0.003100
## const(TreatmentGrp)Local Surgery              -0.000397
## const(TreatmentGrp)Local surgery + radiation  -0.000289
## const(TreatmentGrp)Open surgery                0.000480
##    
##   Call: 
## aalen(formula = surv2 ~ const(I(exp(age.c/10))) + const(female) + 
##     const(Race_NEW) + const(Marital_NEW) + const(PrimarySite) + 
##     AJCC6thStage_NEW + const(TreatmentGrp) + LNDx, data = LarynxSCC_DSS, 
##     start.time = m.data_full$weights)