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Table 1 Scenarios of the simulation study

From: Favoring the hierarchical constraint in penalized survival models for randomized trials in precision medicine

Scenarios

Biomarker effect: \(ln(HR)=\beta \pm 0.5\gamma\)

Average censoring probability

Ctrl: \(\beta -0.5\gamma\)

Exp: \(\beta +0.5\gamma\)

1

No effect

0

0

0.10

2

\(q_{Pe}= 1\) predictive biomarker

-\(0.5 \, ln(0.5)\)

\(0.5 \, ln(0.5)\)

0.13

3

\(q_{Pe}= 10\) predictive biomarkers

-\(0.5 \, ln(0.5)\)

\(0.5 \, ln(0.5)\)

0.20

4

\(q_{Pe}= 10\) predictive biomarkers

-\(0.5 \, ln(0.5)\)

\(0.5 \, ln(0.5)\)

0.31

\(q_{Po} = 10\) prognostic biomarkers

ln(0.5)

ln(0.5)

  1. HR hazard ratio, Ctrl control arm, Exp experimental arm, \(q_{Po}\) number of prognostic biomarkers, \(q_{Pe}\) number of predictive biomarkers