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Table 3 Empirical power and percentage of trials switching to the quota sampling scheme for the modified quota sampling method

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

Empirical power

Percent of trials switching to quota sampling

Misspecification of the prognostic factor: -5%

5

10%

1,418

0.8012

99.98%

20%

798

0.7736

74.08%

30%

608

0.7802

47.52%

40%

532

0.7932

36.64%

50%

512

0.8060

35.50%

15

10%

178

0.6636

33.04%

20%

100

0.7400

11.06%

30%

78

0.7940

11.84%

40%

68

0.8164

11.90%

50%

64

0.8122

8.48%

Misspecification of the prognostic factor: -15%

5

10%

1,418

--

--

20%

798

0.8022

100.00%

30%

608

0.8024

100.00%

40%

532

0.8058

99.94%

50%

512

0.8090

99.82%

15

10%

178

--

--

20%

100

0.7788

89.06%

30%

78

0.7834

63.64%

40%

68

0.7904

49.70%

50%

64

0.8038

40.00%

Misspecification of the prognostic factor: +5%

5

10%

1,418

0.8000

98.28%

20%

798

0.8090

67.72%

30%

608

0.8278

49.32%

40%

532

0.8092

37.08%

50%

512

0.7984

36.30%

15

10%

178

0.8880

35.14%

20%

100

0.8656

16.62%

30%

78

0.8542

10.94%

40%

68

0.8350

7.86%

50%

64

0.8198

8.60%

Misspecification of the prognostic factor: +15%

5

10%

1,418

0.8738

100.00%

20%

798

0.8010

100.00%

30%

608

0.8092

99.98%

40%

532

0.8088

99.80%

50%

512

0.8064

99.86%

15

10%

178

0.8942

97.82%

20%

100

0.8504

72.44%

30%

78

0.8572

50.72%

40%

68

0.8466

38.48%

50%

64

0.8174

40.88%

  1. The margin of error based on the 99% confidence interval is 0.015.