Table 3 Comparison of three designs for (p0, p1, α, β) = (0.05, 0.2, 0.1, 0.1) based on practical example
From: Optimal, minimax and admissible two-stage design for phase II oncology clinical trials
n1 | a1 | r1 | PET1 | n | r | EN | Type | q | |
|---|---|---|---|---|---|---|---|---|---|
Simon’s design | 12 | – | 0 | 0.540 | 37 | 3 | 23.5 | Optimal | [0.000, 0.091] |
13 | – | 0 | 0.513 | 35 | 3 | 23.7 | Admissible | [0.091, 0.333] | |
14 | – | 0 | 0.488 | 34 | 3 | 24.3 | Inadmissible | – | |
15 | – | 0 | 0.463 | 33 | 3 | 24.7 | Admissible | [0.333, 0.630] | |
18 | – | 0 | 0.397 | 32 | 3 | 26.4 | Minimax | [0.630, 1.000] | |
Fleming’s design | 12 | 0 | 3 | 0.560 | 37 | 4 | 23.0 | Optimal | [0.000, 0.091] |
13 | 0 | 3 | 0.538 | 35 | 4 | 23.2 | Admissible | [0.091, 0.268] | |
16 | 0 | 3 | 0.483 | 32 | 4 | 24.3 | Admissible | [0.268, 0.444] | |
18 | 0 | 3 | 0.455 | 31 | 4 | 25.1 | Minimax | [0.444, 1.000] |