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Table 3 The estimates of TG STD (t), \(R_{\textit {PM}}^{2}\), \({R_{D}^{2}}\), \({\rho _{W}^{2}}\), and \(R_{\textit {BS}}^{2}(t)\), including 95 % bootstrap confidence intervals from 1000 replicates, in real data sets at 3 time points. The time points T1, T2, and T3 at which TG STD (t) and \(R_{\textit {BS}}^{2}(t)\) are evaluated in all data sets are the 25th, 50th, and 75th quantile of the follow-up period, i.e. the time to the last event, in each study. Therefore, T1, T2, and T3 are different in each study

From: The extension of total gain (TG) statistic in survival models: properties and applications

 

Est. TG STD (t) at 3 time points

   

Est. \(R_{\textit {BS}}^{2}(t)\) at 3 time points

Study

\(\widehat {{TG}}_{\textit {STD}}{(T}_{1}{)}\)

\( \widehat {{TG}}_{\textit {STD}}{(T}_{2}{)}\)

\(\widehat {{TG} }_{\textit {STD}}{(T}_{3}{)}\)

\(\widehat {{R}}_{\textit {PM}}^{2}\)

\( \widehat {{R}}_{D}^{2}\)

\(\widehat {{\rho }}_{W}^{2}\)

\( \widehat {{R}}_{\textit {BS}}^{2}{(T}_{1}{)}\)

\(\widehat {{R }}_{\textit {BS}}^{2}{(T}_{2}{)}\)

\(\widehat {{R}}_{\textit {BS}}^{2} {(T}_{3}{)}\)

Breast

0.32

0.33

0.35

0.27

0.28

0.36

0.12

0.16

0.20

cancer

(0.27-0.37)

(0.28-0.38)

(0.30-0.40)

(0.21-0.35)

(0.21-0.35)

(0.29-0.47)

(0.07-0.18)

(0.10-0.21)

(0.14-0.25)

Lymphoma

0.28

0.31

0.36

0.23

0.23

0.32

0.16

0.22

0.24

 

(0.16-0.40)

(0.18-0.44)

(0.21-0.50)

(0.11-0.42)

(0.11-0.40)

(0.15-0.53)

(0.02-0.24)

(0.05-0.34)

(0.07-0.38)

PBC

0.58

0.62

0.56

0.56

0.65

0.60

0.38

0.47

0.47

 

(0.52-0.65)

(0.54-0.70)

(0.50-0.62)

(0.48-0.65)

(0.55-0.74)

(0.53-0.68)

(0.19-0.52)

(0.38-0.58)

(0.34-0.57)

Renal

0.34

0.37

0.41

0.27

0.26

0.33

0.24

0.27

0.19

cancer

(0.28-0.40)

(0.31-0.42)

(0.36-0.46)

(0.21-0.36)

(0.20-0.33)

(0.27-0.42)

(0.16-0.31)

(0.21-0.34)

(0.11-0.26)

Prostate

0.22

0.24

0.26

0.13

0.13

0.18

0.06

0.11

0.10

cancer

(0.17-0.27)

(0.19-0.29)

(0.21-0.32)

(0.09-0.20)

(0.09-0.21)

(0.13-0.27)

(0.02-0.10)

(0.06-0.15)

(0.05-0.14)