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Table 2 Ninety percent CI width and actual power based on studies made to the 2nd stage (α=0.1, 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)=(3,13,12,43)
0.1 .265 .270 99.7 96.6 0.1 0.0
0.2 .287 .292 93.2 94.5 4.6 8.4
0.3 .278 .275 94.2 94.6 40.4 47.8
0.4 .276 .270 91.3 93.4 81.3 86.2
0.5 .278 .277 89.3 87.8 97.3 97.5
0.6 .270 .281 91.1 89.4 99.9 99.8
0.7 .250 .260 90.2 87.7 100.0 100.0
0.8 .218 .221 91.4 88.6 100.0 100.0
Design 2 (0.3 vs 0.5)
(r 1,n 1,r 2,n)=(5,15,18,46)
0.1 .239 .239 98.6 98.6 0.0 0.0
0.2 .298 .302 92.2 90.5 0.2 0.2
0.3 .299 .311 94.4 93.6 2.9 6.4
0.4 .273 .280 91.8 92.9 34.6 50.1
0.5 .256 .254 90.1 93.2 79.1 87.0
0.6 .246 .241 87.9 88.2 98.0 99.1
0.7 .228 .232 90.1 88.9 100.0 100.0
0.8 .198 .211 91.5 89.6 100.0 100.0
Design 3 (0.4 vs 0.6)
(r 1,n 1,r 2,n)=(7,16,23,46)
0.1 .265 .265 97.0 97.0 0.0 0.0
0.2 .337 .338 98.3 98.0 0.5 0.0
0.3 .354 .365 95.1 95.4 0.9 0.2
0.4 .328 .347 93.6 94.9 5.4 7.0
0.5 .289 .298 89.2 90.3 37.4 45.7
0.6 .258 .256 92.8 95.0 83.4 85.6
0.7 .235 .231 90.9 90.7 98.9 98.8
0.8 .206 .205 90.2 88.9 100.0 100.0
Design 4 (0.5 vs 0.7)
(r 1,n 1,r 2,n)=(8,15,26,43)
0.1 .246 .246 99.1 99.1 0.0 0.0
0.2 .310 .310 95.7 95.7 0.0 0.0
0.3 .348 .349 93.6 93.4 0.0 0.0
0.4 .361 .366 93.1 91.4 0.5 0.4
0.5 .336 .349 91.3 93.3 5.7 8.3
0.6 .289 .297 89.9 92.7 37.4 43.9
0.7 .242 .243 89.6 93.5 85.2 87.1
0.8 .204 .203 89.1 90.0 99.0 99.4