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Table 2 Inflation of effect size due to 3 rd order selection bias

From: Accuracy of the Berger-Exner test for detecting third-order selection bias in randomised controlled trials: a simulation-based investigation

Parameter setting

Scenario 1*

Scenario 2**

ROR/OE%

Group A

Group B

OR

95% CI

Group A

Group B

OR

95% CI

 

n

N

n

N

  

n

N

n

N

   

TF = 10% - N = 120

19950

21000

19950

21000

1.00

0.92 – 1.09

18912

21000

20988

21000

0.04

0.03 – 0.05

0.04/96%

TF = 10% - N = 240

31500

42000

31500

42000

1.00

0.94 – 1.06

37824

42000

41976

42000

0.02

0.02 – 0.03

0.02/98%

TF = 10% - N = 480

63000

84000

63000

84000

1.00

0.96 – 1.04

75624

84000

83976

84000

0.01

0.01 – 0.01

0.01/99%

TF = 20% - N = 120

18900

21000

18900

21000

1.00

0.94 – 1.07

17117

21000

20681

21000

0.09

0.08 – 0.10

0.09/91%

TF = 20% - N = 240

37800

42000

37800

42000

1.00

0.96 – 1.07

34242

42000

41343

42000

0.08

0.07 – 0.09

0.08/92%

TF = 20% - N = 480

75600

84000

75600

84000

1.00

0.97 – 1.03

68493

84000

82717

84000

0.08

0.07 – 0.08

0.08/92%

TF = 50% - N = 120

15750

21000

15750

21000

1.00

0.96 – 1.05

13417

21000

18093

21000

0.29

0.27 – 0.30

0.29/71%

TF = 50% - N = 240

39900

42000

39900

42000

1.00

0.97 – 1.03

26858

42000

36150

42000

0.29

0.28 – 0.30

0.29/71%

TF = 50% - N = 480

79800

84000

79800

84000

1.00

0.98 – 1.02

53812

84000

72178

84000

0.29

0.28 – 0.30

0.29/71%

  1. TF = Trait frequency; N = Subject number; OR = Pooled Odds ratio; CI = Confidence interval; n = Pooled number of subjects with failed intervention (Y = 0); N = Pooled total umber of subjects;
  2. ROR = Ratio of Odds ratios; OE% = Percent overestimation/inflation of true effect size.
  3. *No bias; **3rd order selection bias.