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. Author manuscript; available in PMC: 2017 Jun 2.
Published in final edited form as: Stat Biopharm Res. 2016 Jun 2;8(2):161–170. doi: 10.1080/19466315.2015.1135185

Table 6.

Proportion of trials deciding in favor of H1 when including patients treated at the MTD, MTD −1, MTD +1 for the four scenarios when using different prior distributions. T1 is based on model based efficacy rates; T2 is based on an acceptable region of efficacy and toxicity. Median Sample size (ASN) to make a decision in favor of H1 at any dose. G : Gamma with parameters (scale,shape).

g(b) in T1 g2(b), g1(a) in T2

Scenario 1 MTD−1 MTD MTD+1 ASN Scenario 1 MTD−1 MTD MTD+1 ASN
Uniform 0.06 0.20 0.56 35 Uniform 0.18 0.26 0.49 34
G(1.5,2) 0.11 0.26 0.59 14 G(1.5,2);G(1,2) 0.17 0.26 0.49 34
G(2,1) 0.15 0.31 0.63 12 G(2,1);G(2,1) 0.17 0.25 0.48 36
G(5, 0.5) 0.49 0.74 0.78 4 G(5, 0.5);G(4,0.5) 0.20 0.29 0.50 30
Scenario 2 Scenario 2
Uniform 0.11 0.84 0.61 17 Uniform 0.25 0.85 0.49 16
G(1.5,2) 0.15 0.84 0.61 12 G(1.5,2);G(1,2) 0.23 0.85 0.48 16
G(2,1) 0.19 0.85 0.61 11 G(2,1);G(2,1) 0.22 0.84 0.48 16
G(5, 0.5) 0.50 0.94 0.72 4 G(5, 0.5);G(4,0.5) 0.26 0.86 0.49 16
Scenario 3 Scenario 3
Uniform 0.07 0.53 0.60 24 Uniform 0.19 0.58 0.54 21
G(1.5,2) 0.10 0.54 0.61 15 G(1.5,2);G(1,2) 0.17 0.58 0.54 21
G(2,1) 0.14 0.58 0.62 13 G(2,1);G(2,1) 0.17 0.57 0.53 22
G(5, 0.5) 0.45 0.79 0.72 4 G(5, 0.5);G(4,0.5) 0.20 0.59 0.54 20
Scenario 4 Scenario 4
Uniform 0.43 0.95 0.64 10 Uniform 0.53 0.96 0.62 11
G(1.5,2) 0.44 0.94 0.66 6 G(1.5,2);G(1,2) 0.52 0.96 0.62 11
G(2,1) 0.49 0.95 0.64 6 G(2,1);G(2,1) 0.52 0.96 0.61 11
G(5, 0.5) 0.69 0.99 0.70 3 G(5, 0.5);G(4,1/2) 0.54 0.97 0.62 11