Table 3.
Comparing trial properties of our JBHM with Simon’s designs. JBHM had the U(0, 10) prior for σ.
| Scenario | Stratum | Hypothesis | Design | Type I | Power | n | En | PET |
|---|---|---|---|---|---|---|---|---|
| I | A | 0.1 vs. 0.3 | Optimal | 0.05 | 0.78 | 28 | 15 | 0.73 |
| Minimax | 21 | 15 | 0.66 | |||||
| JBHM | 20 | 13 | 0.75 | |||||
| B | 0.5 vs. 0.75 | Optimal | 0.1 | 0.86 | 23 | 15 | 0.62 | |
| Minimax | 21 | 16 | 0.5 | |||||
| JBHM | 20 | 14 | 0.62 | |||||
| II | A | 0.1 vs. 0.3 | Optimal | 0.05 | 0.77 | 30 | 14 | 0.77 |
| Minimax | 21 | 15 | 0.66 | |||||
| JBHM | 20 | 13 | 0.75 | |||||
| B | 0.5 vs. 0.7 | Optimal | 0.11 | 0.74 | 29 | 16 | 0.64 | |
| Minimax | 23 | 16 | 0.5 | |||||
| JBHM | 20 | 16 | 0.35 | |||||
| III | A | 0.1 vs. 0.25 | Optimal | 0.05 | 0.66 | 28 | 16 | 0.7 |
| Minimax | 26 | 22 | 0.48 | |||||
| JBHM | 20 | 13 | 0.70 | |||||
| B | 0.5 vs. 0.7 | Optimal | 0.11 | 0.73 | 29 | 16 | 0.64 | |
| Minimax | 22 | 18 | 0.83 | |||||
| JBHM | 20 | 15 | 0.50 | |||||
| IV | A | 0.1 vs. 0.25 | Optimal | 0.05 | 0.69 | 37 | 17 | 0.74 |
| Minimax | 27 | 21 | 0.51 | |||||
| JBHM | 20 | 13 | 0.71 | |||||
| B | 0.5 vs. 0.75 | Optimal | 0.1 | 0.86 | 23 | 15 | 0.62 | |
| Minimax | 21 | 16 | 0.5 | |||||
| JBHM | 20 | 14 | 0.63 |
En: expected sample size; PET: probability of early stopping; JBHM: Joint Bayesian hierarchical model.