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Table 6 Results of the association parameter α obtained from joint model and TVCM fitted to data generated considering a non-monotonic baseline hazard function (scenario 9 of Table 1), α∈(0.3,0.6) and σε∈(0.1,0.3,0.5) with CV ∈(3.1%,9.4%,15.6%)

From: Joint model robustness compared with the time-varying covariate Cox model to evaluate the association between a longitudinal marker and a time-to-event endpoint

  

α=0.3

α=0.6

σε

Model

Est

ESE

ASE

%Bias

CP

Est

ESE

ASE

%Bias

CP

0.1

TVCM(1x/week)

0.292

0.058

0.058

-2.7

94

0.579

0.062

0.061

-3.5

93

 

joint-constant

0.183

0.041

0.054

-39

39

0.336

0.035

0.052

-44

0

 

joint-weibull

0.337

0.066

0.058

12

86

0.638

0.065

0.061

6.3

89

 

joint-spline

0.303

0.060

0.059

1.0

95

0.608

0.064

0.063

1.3

94

0.3

TVCM(1x/week)

0.274

0.056

0.056

-8.7

92

0.538

0.059

0.058

-10.3

80

 

joint-constant

0.180

0.043

0.055

-40

39

0.328

0.037

0.053

-45

0

 

joint-weibull

0.340

0.068

0.059

13

87

0.642

0.070

0.065

7.0

89

 

joint-spline

0.304

0.062

0.061

1.3

95

0.608

0.077

0.067

1.3

94

0.5

TVCM(1x/week)

0.244

0.053

0.053

-18

81

0.471

0.055

0.055

-21

36

 

joint-constant

0.174

0.046

0.052

-42

39

0.312

0.04

0.055

-48

0

 

joint-weibull

0.344

0.071

0.062

15

85

0.643

0.164

0.071

7.2

89

 

joint-spline

0.304

0.065

0.064

1.3

95

0.615

0.197

0.073

2.5

94

  1. Mean of the maximum likelihood estimates (Est), empirical Monte Carlo standard error (ESE), asymptotic standard error (ASE), percentage bias (%Bias) and 95% coverage probabilities (CP) are shown