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Table 2 Simulation results for estimation of incident/dynamic cause-specific AUC of a single marker in Scenario 2(a), comparing the methods- cWMR & cFPL

From: Inference about time-dependent prognostic accuracy measures in the presence of competing risks

   

cWMR

cFPL

Cause

Log(t)

AUC

Mean

ARB

BSE

SE

CP(%)

Mean

ARB

BSE

SE

CP(%)

1

-1.5

0.535

0.538

0.561

0.061

0.052

83.6

0.534

0.187

0.047

0.051

92.2

 

-1.2

0.600

0.598

0.333

0.054

0.049

86.0

0.597

0.500

0.043

0.048

93.5

 

-0.9

0.649

0.643

0.924

0.049

0.047

90.3

0.645

0.616

0.042

0.043

93.5

 

-0.6

0.680

0.674

0.882

0.047

0.047

90.5

0.678

0.294

0.043

0.046

93.0

 

-0.3

0.692

0.690

0.289

0.049

0.050

92.7

0.693

0.144

0.052

0.05

89.4

 

0.0

0.697

0.698

0.143

0.057

0.057

89.2

0.697

0.00

0.080

0.069

92.6

 

0.3

0.688

0.697

1.308

0.080

0.073

87.0

0.702

2.034

0.139

0.128

92.6

 

0.6

0.681

0.695

2.056

0.135

0.113

83.0

0.655

3.818

0.284

0.294

83.2

2

-1.5

0.5

0.5000

0.0

0.049

0.052

88.5

0.5005

0.1

0.048

0.052

90.7

 

-1.2

0.5

0.4999

0.02

0.043

0.046

87.5

0.4988

0.24

0.042

0.044

92.7

 

-0.9

0.5

0.4974

0.52

0.040

0.043

88.0

0.4979

0.42

0.040

0.044

92.3

 

-0.6

0.5

0.4976

0.48

0.041

0.044

90.0

0.4975

0.50

0.044

0.044

91.8

 

-0.3

0.5

0.4985

0.30

0.046

0.049

89.7

0.4973

0.54

0.052

0.054

94.0

 

0.0

0.5

0.4968

0.64

0.057

0.049

89.9

0.4967

0.66

0.079

0.068

92.1

 

0.3

0.5

0.4952

0.96

0.080

0.080

87.2

0.4953

0.94

0.143

0.128

94.2

 

0.6

0.5

0.5011

0.22

0.137

0.124

83.4

0.4969

0.62

0.269

0.289

87.8

  1. Average of bootstrap mean (Mean), average of bootstrap standard errors e relative bias (ARB(%)), model-based standard error (SE), and coverage probability (CP(%))-(nominal level —90%) of AUC