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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