From: Statistical inference for extended or shortened phase II studies based on Simon’s two-stage designs
Width | Coverage | Actual power | ||||
---|---|---|---|---|---|---|
π true | LR | KC | LR | KC | LR | KC |
Design 1 (0.2 vs 0.4) | ||||||
(r 1,n 1,r2,n)=(4,19,15,54) | ||||||
0.1 | .313 | .316 | 99.7 | 97.5 | 0.0 | 0.0 |
0.2 | .342 | .358 | 95.8 | 94.9 | 0.0 | 4.1 |
0.3 | .328 | .338 | 95.4 | 95.1 | 1.1 | 36.3 |
0.4 | .295 | .297 | 94.3 | 94.4 | 11.3 | 74.1 |
0.5 | .272 | .265 | 91.5 | 91.8 | 52.4 | 94.8 |
0.6 | .263 | .254 | 91.2 | 90.2 | 89.7 | 99.3 |
0.7 | .243 | .240 | 89.4 | 88.5 | 99.7 | 100.0 |
0.8 | .208 | .217 | 90.4 | 92.0 | 100.0 | 100.0 |
Design 2 (0.3 vs 0.5) | ||||||
(r 1,n 1,r 2,n)=(8,24,24,63) | ||||||
0.1 | .291 | .291 | 99.0 | 98.6 | 0.0 | 0.0 |
0.2 | .356 | .362 | 94.2 | 92.4 | 0.1 | 0.0 |
0.3 | .352 | .375 | 92.0 | 92.9 | 1.6 | 3.4 |
0.4 | .318 | .339 | 91.9 | 94.1 | 20.9 | 31.3 |
0.5 | .279 | .285 | 94.9 | 95.7 | 66.4 | 76.4 |
0.6 | .256 | .251 | 89.9 | 90.8 | 95.1 | 96.8 |
0.7 | .235 | .229 | 90.2 | 90.4 | 99.0 | 99.0 |
0.8 | .205 | .204 | 90.3 | 89.5 | 100.0 | 100.0 |
Design 3 (0.4 vs 0.6) | ||||||
(r 1,n 1,r 2,n)=(11,25,32,66) | ||||||
0.1 | .287 | .287 | 98.1 | 98.1 | 0.0 | 0.0 |
0.2 | .357 | .357 | 95.2 | 94.9 | 0.0 | 0.0 |
0.3 | .386 | .394 | 94.7 | 92.5 | 0.4 | 0.1 |
0.4 | .370 | .390 | 94.7 | 94.2 | 3.2 | 4.0 |
0.5 | .325 | .342 | 89.9 | 92.5 | 24.7 | 29.9 |
0.6 | .274 | .278 | 91.7 | 93.1 | 73.4 | 76.0 |
0.7 | .241 | .238 | 89.6 | 90.0 | 94.6 | 94.8 |
0.8 | .209 | .207 | 90.2 | 88.4 | 100.0 | 100.0 |
Design 4 (0.5 vs 0.7) | ||||||
(r 1,n 1,r 2,n)=(13,24,36,61) | ||||||
0.1 | .297 | .297 | 98.3 | 98.3 | 0.1 | 0.0 |
0.2 | .365 | .365 | 94.8 | 94.8 | 0.1 | 0.0 |
0.3 | .408 | .409 | 94.8 | 94.1 | 0.2 | 0.0 |
0.4 | .419 | .427 | 94.6 | 93.3 | 0.5 | 0.0 |
0.5 | .388 | .408 | 94.5 | 94.7 | 3.1 | 3.9 |
0.6 | .334 | .350 | 89.9 | 92.8 | 23.9 | 28.8 |
0.7 | .265 | .270 | 93.9 | 95.6 | 71.5 | 74.2 |
0.8 | .214 | .214 | 89.8 | 89.9 | 97.2 | 97.5 |