Table 1 Ninety percent CI width and actual power based on studies made to the 2nd stage (α=0.05, β=0.1)
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)=(3,17,10,37) | ||||||
0.1 | .257 | .260 | 99.7 | 96.6 | 0.3 | 0.0 |
0.2 | .271 | .289 | 94.5 | 93.0 | 3.1 | 4.7 |
0.3 | .250 | .260 | 90.1 | 92.7 | 38.4 | 44.3 |
0.4 | .238 | .235 | 91.2 | 94.3 | 85.7 | 86.7 |
0.5 | .236 | .230 | 89.9 | 88.6 | 98.5 | 98.6 |
0.6 | .229 | .228 | 90.2 | 89.0 | 100.0 | 100.0 |
0.7 | .211 | .222 | 88.8 | 88.2 | 100.0 | 100.0 |
0.8 | .184 | .208 | 90.6 | 89.2 | 100.0 | 100.0 |
Design 2 (0.3 vs 0.5) | ||||||
(r 1,n 1,r 2,n)=(7,22,17,46) | ||||||
0.1 | .227 | .227 | 97.5 | 97.5 | 0.0 | 0.0 |
0.2 | .285 | .289 | 95.1 | 92.7 | 0.1 | 0.1 |
0.3 | .283 | .301 | 90.0 | 91.5 | 2.1 | 4.5 |
0.4 | .253 | .265 | 87.9 | 91.1 | 33.3 | 43.3 |
0.5 | .225 | .224 | 90.0 | 92.6 | 79.6 | 85.1 |
0.6 | .214 | .208 | 89.7 | 88.9 | 98.4 | 98.6 |
0.7 | .198 | .195 | 92.4 | 91.6 | 99.8 | 99.8 |
0.8 | .172 | .172 | 90.8 | 90.3 | 100.0 | 100.0 |
Design 3 (0.4 vs 0.6) | ||||||
(r 1,n 1,r 2,n)=(7,18,22,46) | ||||||
0.1 | .219 | .219 | 97.2 | 97.2 | 0.0 | 0.0 |
0.2 | .286 | .286 | 93.0 | 93.0 | 0.2 | 0.0 |
0.3 | .315 | .319 | 95.9 | 92.5 | 0.4 | 0.1 |
0.4 | .300 | .317 | 93.4 | 93.4 | 1.7 | 3.7 |
0.5 | .258 | .270 | 93.3 | 94.2 | 31.2 | 42.0 |
0.6 | .218 | .218 | 91.7 | 94.2 | 82.5 | 87.2 |
0.7 | .198 | .194 | 92.2 | 91.0 | 98.8 | 98.8 |
0.8 | .170 | .170 | 90.2 | 90.1 | 100.0 | 100.0 |
Design 4 (0.5 vs 0.7) | ||||||
(r 1,n 1,r 2,n)=(11,21,26,45) | ||||||
0.1 | .231 | .231 | 95.9 | 95.9 | 0.0 | 0.0 |
0.2 | .292 | .292 | 92.6 | 92.6 | 0.0 | 0.0 |
0.3 | .327 | .327 | 94.1 | 93.8 | 0.0 | 0.0 |
0.4 | .342 | .346 | 94.6 | 92.0 | 0.1 | 0.0 |
0.5 | .316 | .331 | 93.5 | 93.7 | 1.5 | 4.4 |
0.6 | .259 | .271 | 91.9 | 92.1 | 26.8 | 37.5 |
0.7 | .209 | .210 | 89.3 | 92.9 | 80.5 | 85.7 |
0.8 | .177 | .176 | 88.3 | 88.5 | 98.6 | 99.2 |