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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