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. Author manuscript; available in PMC: 2019 Aug 23.
Published in final edited form as: Biometrics. 2019 Apr 3;75(2):371–381. doi: 10.1111/biom.12994

Table 5.

Simulation results. α is the probability of a type I error or concluding an inferior version of A is better than C under the null. γ1 is the generalized power at A(xSopt) (probability of selecting the best dose xSopt and declaring it to be superior to C) under the alternative hypothesis. γ2 is the generalized power (probability of selecting any truly superior dose of A and declaring it superior to C). W¯ is the mean improvement in patient survival under the alternative hypothesis, Dur¯ is the mean trial duration, and N¯ is the mean sample size.

Scenario Design Alternative Hypothesis
Null Hypothesis
W¯
γ1 γ2
Dur¯
N¯
α
Dur¯
N¯
1 Phase I-II phase III 4.04 .29 .29 4.05 431.1 .02 4.05 461.5
Phase I-II/III 10.15 .83 .83 4.73 479.2 .03 4.32 492.0
2 Phase I-II phase III 7.87 .66 .66 4.29 459.2 .06 4.18 489.4
Phase I-II/III 8.97 .75 .75 4.45 470.7 .02 4.18 489.9
3 Phase I-II phase III 1.83 .06 .06 3.10 355.0 < .01 3.28 385.7
Phase I-II/III 11.51 .79 .79 4.56 476.9 .04 4.22 485.6
4 Phase I-II phase III 3.52 .25 .25 4.28 475.8 .05 3.48 407.8
Phase I-II/III 5.86 .42 .42 4.30 472.0 .05 3.81 442.0
5 Phase I-II phase III 5.61 .21 .25 3.98 428.5 .01 3.83 440.4
Phase I-II/III 16.71 .68 .88 4.24 464.4 .03 4.37 493.9
6 Phase I-II phase III 9.46 .34 .52 4.16 447.9 .02 4.16 466.5
Phase I-II/III 12.67 .59 .75 4.53 472.7 .04 4.39 494.0