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. Author manuscript; available in PMC: 2020 Oct 4.
Published in final edited form as: Stat Methods Med Res. 2019 Apr 4;29(2):498–507. doi: 10.1177/0962280219840050

Table 2.

Comparing trial properties of our JBHM with Simon’s designs. JBHM had the U(0, 1) prior for σ.

Scenario Stratum Hypothesis Design Type I Power n En PET
I A 0.1 vs. 0.3 Optimal 0.04 0.83 33 18 0.7
Minimax 26 20 0.55
JBHM 20 12 0.85
B 0.5 vs. 0.75 Optimal 0.08 0.9 31 19 0.61
Minimax 26 22 0.81
JBHM 20 13 0.73
II A 0.1 vs. 0.3 Optimal 0.04 0.79 27 16 0.7
Minimax 28 18 0.62
JBHM 20 11 0.86
B 0.5 vs. 0.7 Optimal 0.1 0.82 32 21 0.6
Minimax 30 22 0.5
JBHM 20 14 0.58
III A 0.1 vs. 0.25 Optimal 0.05 0.73 36 20 0.79
Minimax 33 23 0.55
JBHM 20 13 0.73
B 0.5 vs. 0.7 Optimal 0.1 0.8 32 20 0.61
Minimax 28 22 0.5
JBHM 20 14 0.58
IV A 0.1 vs. 0.25 Optimal 0.05 0.78 44 23 0.76
Minimax 34 29 0.54
JBHM 20 13 0.73
B 0.5 vs. 0.75 Optimal 0.07 0.87 29 18 0.71
Minimax 26 21 0.87
JBHM 20 13 0.73

En: expected sample size; PET: probability of early stopping; JBHM: Joint Bayesian hierarchical model.