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Table 2 Empirical type I error for all three methods when there was no misspecification of the distribution of the prognostic factor

From: Impact of misspecifying the distribution of a prognostic factor on power and sample size for testing treatment interactions in clinical trials

θ

Planned distribution of the prognostic factor

Planned n t

Quota sampling

Modified quota sampling

Sample size re-estimation using conditional power

0

10%

1,418

0.0496

0.0534

0.0210

20%

798

0.0484

0.0522

0.0260

30%

608

0.0494

0.0464

0.0286

40%

532

0.0510

0.0514

0.0302

50%

512

0.0532

0.0540

0.0248

0

10%

178

0.0494

0.0512

0.0248

20%

100

0.0488

0.0516

0.0274

30%

78

0.0536

0.0524

0.0224

40%

68

0.0472

0.0496

0.0302

50%

64

0.0482

0.0482

0.0328

  1. The margin of error based on the 99% confidence interval is 0.008.