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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