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Table 1 Simulation characteristics (2000 replications) of c-index and c-mbc across 40 centers of 200 patients

From: The calibrated model-based concordance improved assessment of discriminative ability in patient clusters of limited sample size

Cluster

True

Bias

SD

rmse

Concordance

C-index

c-mbc

C-index

c-mbc

C-index

c-mbc

1

0.664

0.002

0.051

0.055

0.027

0.055

0.057

2

0.666

0.001

0.047

0.059

0.027

0.059

0.054

3

0.695

0.001

0.032

0.053

0.024

0.052

0.040

4

0.699

0.000

0.025

0.056

0.024

0.055

0.034

5

0.702

0.000

0.026

0.054

0.024

0.053

0.034

6

0.705

− 0.001

0.030

0.049

0.025

0.048

0.038

7

0.710

− 0.002

0.022

0.051

0.023

0.050

0.031

8

0.712

− 0.001

0.015

0.056

0.024

0.055

0.027

9

0.712

0.001

0.028

0.048

0.024

0.047

0.035

10

0.718

0.002

0.020

0.051

0.023

0.050

0.029

11

0.726

0.001

0.004

0.056

0.024

0.055

0.022

12

0.727

− 0.001

0.001

0.058

0.024

0.057

0.022

13

0.727

0.000

0.017

0.047

0.023

0.046

0.027

14

0.727

0.001

0.010

0.051

0.023

0.050

0.023

15

0.731

0.001

0.008

0.049

0.022

0.048

0.021

16

0.735

− 0.001

− 0.001

0.053

0.023

0.053

0.021

17

0.735

0.001

0.006

0.050

0.022

0.049

0.021

18

0.738

0.000

0.001

0.052

0.023

0.051

0.020

19

0.741

0.001

0.006

0.047

0.022

0.046

0.020

20

0.744

0.001

0.007

0.045

0.022

0.043

0.020

21

0.750

0.000

0.002

0.046

0.021

0.045

0.019

22

0.751

0.001

− 0.004

0.049

0.022

0.047

0.019

23

0.755

0.001

0.006

0.043

0.023

0.041

0.021

24

0.755

0.000

− 0.008

0.049

0.022

0.048

0.020

25

0.757

0.002

− 0.007

0.046

0.021

0.045

0.020

26

0.757

0.002

− 0.013

0.051

0.022

0.049

0.023

27

0.763

− 0.002

− 0.015

0.050

0.022

0.049

0.024

28

0.763

0.000

− 0.014

0.048

0.021

0.047

0.023

29

0.765

0.000

0.000

0.041

0.022

0.040

0.019

30

0.770

0.001

− 0.009

0.043

0.022

0.042

0.020

31

0.772

0.002

− 0.011

0.043

0.021

0.041

0.021

32

0.774

0.001

− 0.015

0.044

0.021

0.042

0.023

33

0.780

0.000

− 0.015

0.042

0.021

0.041

0.024

34

0.787

− 0.001

− 0.029

0.046

0.022

0.044

0.034

35

0.788

0.000

− 0.036

0.048

0.023

0.047

0.041

36

0.791

0.001

− 0.018

0.039

0.022

0.038

0.026

37

0.795

− 0.001

− 0.028

0.041

0.022

0.040

0.033

38

0.798

− 0.001

− 0.031

0.041

0.021

0.040

0.035

39

0.798

0.001

− 0.027

0.040

0.022

0.038

0.033

40

0.803

0.000

− 0.033

0.040

0.022

0.039

0.038

Average

0.745

0.000

0.001

0.048

0.023

0.047

0.028