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Table 9 Root Mean Squared Error (MSE) and Bias for the estimation of the marginal survival probability S(1000) for the three groups defined by the number of nodes received

From: Effect of the number of removed lymph nodes on prostate cancer recurrence and survival: evidence from an observational study

Generation

Estimation

   

Unadjusted

Weighted

Doubly Robust

PM

SM

PM

SM

n

Nodes

S(1000)

\(\sqrt {\text {MSE}}\)

Bias

\(\sqrt {\text {MSE}}\)

Bias

\(\sqrt {\text {MSE}}\)

Bias

2

3

3

4

1000

1-10

0.4108

0.0948

-0.0329

0.1144

0.0423

0.1175

0.0671

     

11-20

0.2971

0.0283

-0.0044

0.0282

-0.0010

0.0258

0.0051

     

3

0.5514

0.1056

0.0727

0.1250

-0.0866

0.1015

-0.0641

2

3

3

4

5000

1-10

0.4067

0.0498

-0.0312

0.0668

0.0483

0.0733

0.0589

     

11-20

0.2941

0.0131

-0.0046

0.0124

-0.0010

0.0120

0.0039

     

3

0.5461

0.0764

0.0687

0.1005

-0.0926

0.0823

-0.0751

2

3

3

4

10000

1-10

0.4069

0.0391

-0.0289

0.0575

0.0478

0.0643

0.0565

     

11-20

0.2936

0.0099

-0.0045

0.0090

-0.0010

0.0088

0.0034

     

3

0.5473

0.0708

0.0666

0.1008

-0.0969

0.0840

-0.0804

  1. Both the propensity score model and the survival model used in the estimation process differ from the corresponding models used for data generation. Results are based on 3000 simulated samples. PM stands for Propensity Score Model, and SM stands for Survival Model. Please refer to the text for the description of the models