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Table 4 Comparisons of decisions at the end of the trial according to the rules when K=2

From: Enrichment Bayesian design for randomized clinical trials using categorical biomarkers and a binary outcome

   

Subset A

Subset B

 

Scenarios

Interaction method

Go with EP

go with SP (efficacy/interaction)

nA

go with SP (efficacy/interaction)

nB

False positive

Scenario 1

Millen

0.9622

0.0177

399.1692

0.0201

400.8308

0.0378

 

Gail and Simon

0.9454

0.0282

400.2944

0.0264

399.7056

0.0546

Scenario 2

Millen

0.7259

0.2707

447.1501

0.0034

352.8499

0.0034

 

Gail and Simon

0.7928

0.1934

446.8688

0.0138

353.1312

0.0138

Scenario 3

Millen

0.2025

0.7970

558.2047

0.0000

241.7953

0.0000

 

Gail and Simon

0.5834

0.4080

507.3405

0.0086

292.6595

0.0086

Scenario 4

Millen

0.0067

0.9933

655.0378

0.0000

144.9622

0.0000

 

Gail and Simon

0.2894

0.7106

601.0114

0.0000

198.9886

0.0000

  1. The total sample size is set at n= 800, with π=0.5 and qB=qA=0.5.
  2. *EP: entire population;
  3. *SP: subpopulation (efficacy/interaction) due to the detection of interaction with efficacy in subset k;
  4. nAand nBare the mean sample size in each subset at the end of the study