Table 4 Empirical power according to the different input parameters in setting 1 (exponential case) using both measures (gAHR/nHR)

Treatment effect

Any HR_j=0.6

225/225

0.784/0.215

0.795/0.601

0.798/0.765

0.801/0.882

0.809/0.995

HR₁=HR₂=0.9

36/42

0.789/0.727

0.798/0.762

0.801/0.775

0.803/0.786

0.808/0.799

Other cases

135/135

0.790/0.466

0.797/0.696

0.800/0.771

0.802/0.836

0.811/0.952

Observed proportions

Any \(p_{j}^{(0)}=0.05\)

180/186

0.784/0.215

0.795/0.650

0.798/0.777

0.801/0.867

0.809/0.995

\(p_{1}^{(0)}=p_{2}^{(0)} \ge 0.3\)

81/81

0.790/0.536

0.797/0.708

0.800/0.764

0.803/0.791

0.810/0.901

Other cases

135/135

0.788/0.274

0.796/0.612

0.799/0.764

0.802/0.877

0.811/0.986

Correlation

Weak (ρ=0.1)

132/134

0.788/0.251

0.796/0.698

0.798/0.789

0.802/0.855

0.811/0.995

Mild (ρ=0.3)

132/134

0.785/0.239

0.796/0.671

0.799/0.767

0.802/0.844

0.809/0.994

Moderate (ρ=0.5)

132/134

0.784/0.215

0.796/0.654

0.799/0.751

0.802/0.831

0.810/0.993

Global

396/402

0.784/0.215

0.796/0.678

0.799/0.771

0.802/0.845

0.811/0.995