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Table 3 Predictive ability of the two models and of the phase-2 variable.

From: Multiple imputation for estimating hazard ratios and predictive abilities in case-cohort surveys

  

Full cohort

  

Multiple imputation

 
 

Est

SE ∧

SE

% H 0 rejected

Est

SE ∧

SE

% H 0 rejected

Z2 normally distributed

        

β 1 = β 2 = β 3 = 0

        

C 1

0.518

0.033

0.012

 

0.518

0.033

0.012

 

C 2

0.524

0.033

0.013

 

0.526

0.033

0.013

 

Δ

0.006

0.010

0.010

3.7

0.008

0.012

0.010

3.4

β 1 = β 2 = β 3 = log(2)

        

C 1

0.733

0.029

0.014

 

0.733

0.029

0.014

 

C 2

0.783

0.027

0.013

 

0.783

0.027

0.014

 

Δ

0.049

0.010

0.010

100

0.049

0.010

0.011

100

Z2 normally distributed

        

β 1 = β 2 = β 3 = 0

        

C 1

0.518

0.033

0.012

 

0.518

0.033

0.012

 

C 2

0.524

0.033

0.013

 

0.520

0.031

0.016

 

Δ

0.006

0.010

0.009

5.5

0.002

0.013

0.012

4.2

β 1 = β 2 = β 3 = log(2)

        

C 1

0.784

0.013

0.006

 

0.784

0.013

0.006

 

C 2

0.881

0.011

0.006

 

0.866

0.011

0.006

 

Δ

0.097

0.005

0.005

100

0.082

0.005

0.004

100

Z2 uniformly distributed

        

β 1 = β 2 = β 3 = 0

        

C 1

0.532

0.055

0.019

 

0.532

0.055

0.019

 

C 2

0.540

0.055

0.019

 

0.541

0.055

0.020

 

Δ

0.008

0.015

0.013

2.2

0.009

0.017

0.013

4.0

β 1 = β 2 = β 3 = log(2)

        

C 1

0.733

0.029

0.014

 

0.733

0.029

0.014

 

C 2

0.781

0.027

0.012

 

0.785

0.027

0.012

 

Δ

0.048

0.009

0.009

100

0.052

0.010

0.010

100

  1. Results of 1000 simulations
  2. C 1, Harrell's C index of the proportional hazard model without the phase-2 variable
  3. C 2, Harrell's C index of the proportional hazard model with the phase-2 variable
  4. Δ, Harrell's predictive value of the phase-2 variable, H0: Δ = 0