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.