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Table 4 Building blocks of HL and RC statistics

From: Reclassification calibration test for censored survival data: performance and comparison to goodness-of-fit criteria

 

Full model

  

0–5%

5–7.5%

7.5%+

Reduced model

0–5%

\( {\left[{KM}_{11}(t)-{\overline{p(t)}}_{11}\right]}^2 \)

\( {\left[{KM}_{12}(t)-{\overline{p(t)}}_{12}\right]}^2 \)

\( {\left[{KM}_{13}(t)-{\overline{p(t)}}_{13}\right]}^2 \)

5–7.5%

\( {\left[{KM}_{21}(t)-{\overline{p(t)}}_{21}\right]}^2 \)

\( {\left[{KM}_{22}(t)-{\overline{p(t)}}_{22}\right]}^2 \)

\( {\left[{KM}_{23}(t)-{\overline{p(t)}}_{23}\right]}^2 \)

7.5%+

\( {\left[{KM}_{31}(t)-{\overline{p(t)}}_{31}\right]}^2 \)

\( {\left[{KM}_{32}(t)-{\overline{p(t)}}_{32}\right]}^2 \)

\( {\left[{KM}_{33}(t)-{\overline{p(t)}}_{33}\right]}^2 \)

  

Components of HL statistic

  

\( {\left[{KM}_1(t)-{\overline{p(t)}}_1\right]}^2 \)

\( {\left[{KM}_2(t)-{\overline{p(t)}}_2\right]}^2 \)

\( {\left[{KM}_3(t)-{\overline{p(t)}}_3\right]}^2 \)

  1. \( {\left[{KM}_{31}(t)-{\overline{p(t)}}_{31}\right]}^2 \) is one of the terms in the RC statistics formula. It corresponds to observations that moved from risk category 3 according to the reduced model to the risk category 1 of the full model. The reclassification table is more informative when evaluating two models because it displays the transitions from one category to another under different models