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Table 3 Ninety percent CI width and actual power based on studies made to the 2nd stage (α=0.05, β=0.2)

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