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Table 7 Simulation results evaluating Rule 3 when the threshold probability is set at 0.80

From: Evaluation of a multi-arm multi-stage Bayesian design for phase II drug selection trials – an example in hemato-oncology

Sample size

True benefit

Posterior mean estimate biases

Enrolled sample sizes

% Early stopping

 

dB

dC

pA

pB

pC

A

B

C

B

C

40

−0.15

0.00

0.0083

0.0320

0.0562

39.5748

38.6963

33.8148

3.64 %

18.64 %

 

−0.05

0.00

0.0063

0.0495

0.0568

38.7270

35.8578

33.7310

12.09 %

18.95 %

 

0.00

0.00

0.0049

0.0555

0.0581

38.1052

33.9250

33.5867

18.38 %

19.20 %

 

0.05

0.00

0.0016

0.0632

0.0563

37.5141

31.3987

33.8662

26.92 %

18.51 %

 

0.10

0.00

−0.0008

0.0691

0.0570

36.8763

28.0621

33.8537

38.65 %

18.55 %

 

0.15

0.00

0.0001

0.0720

0.0578

35.9576

24.3662

33.6137

51.87 %

19.22 %

 

0.20

0.00

−0.0002

0.0673

0.0561

35.5246

20.7723

33.8744

64.82 %

18.40 %

 

0.25

0.00

−0.0017

0.0575

0.0568

34.9601

16.9213

33.7372

77.56 %

18.91 %

 

0.30

0.00

−0.0043

0.0409

0.0575

34.3862

13.5320

33.6114

87.33 %

19.19 %

 

0.35

0.00

−0.0016

0.0196

0.0560

34.5481

10.7458

34.0309

94.31 %

17.94 %

 

0.40

0.00

−0.0033

−0.0069

0.0547

34.2171

8.5161

33.9205

97.80 %

18.43 %

 

0.45

0.00

−0.0023

−0.0372

0.0542

34.1941

6.8534

33.9756

99.23 %

18.33 %

100

−0.05

0.00

0.0032

0.0229

0.0559

98.8583

96.4597

82.6701

3.69 %

18.83 %

 

−0.05

0.00

−0.0006

0.0433

0.0563

96.1819

89.1834

82.5699

11.51 %

18.92 %

 

0.00

0.00

−0.0038

0.0577

0.0571

94.3563

82.2688

82.2694

19.21 %

19.14 %

 

0.05

0.00

−0.0060

0.0689

0.0570

92.3215

73.7509

82.5095

29.51 %

19.02 %

 

0.10

0.00

−0.0075

0.0778

0.0567

89.5994

63.0008

82.5545

43.27 %

18.97 %

 

0.15

0.00

−0.0088

0.0822

0.0574

87.6736

49.5431

82.5278

61.69 %

18.88 %

 

0.20

0.00

−0.0102

0.0771

0.0530

86.2653

37.2856

83.2202

77.99 %

18.15 %

 

0.25

0.00

−0.0113

0.0636

0.0558

84.2998

25.2895

82.5265

91.74 %

19.02 %

 

0.30

0.00

−0.0112

0.0448

0.0576

83.4348

17.4124

82.3130

97.39 %

19.14 %

 

0.35

0.00

−0.0114

0.0204

0.0558

83.0775

11.9089

82.5449

99.58 %

18.89 %

 

0.40

0.00

−0.0102

−0.0073

0.0552

83.3131

9.0623

82.9624

99.95 %

18.47 %

 

0.45

0.00

−0.0111

−0.0375

0.0585

82.5830

6.9659

82.3697

100.00 %

19.09 %

  1. pA, pB and pC refer to the posterior means of response probability in arms A, B and C, respectively; δ*=0.15. Bold data refer to the null hypothesis of absence of any treatment difference (dB=dC=0), or to the alternative hypothesis of an expected true 0.15 benefit of treatment B (dB=0.15)