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Table 6 Power for the adjusted Begg and Mazumdar test based on Kendall’s tau: Small meta-analyses*

From: Improving the error rates of the Begg and Mazumdar test for publication bias in fixed effects meta-analysis

 

Power

 

[% selected for inclusion, bias]

Selection strength

Strong**

Moderate***

Range of variances

Large†

Small‡

Large†

Small‡

Treatment effect (δ)

    

.0

83%

36%

63%

23%

 

[36%,.34]

[37%,.74]

[57%,.25]

[57%,.54]

.5

80%

34%

53%

22%

 

[54%,.16]

[52%,.54]

[74%,.09]

[73%,.34]

1.0

70%

30%

39%

17%

 

[65%,.07]

[67%,.36]

[82%,.04]

[85%,.20]

1.5

59%

23%

27%

13%

 

[72%,.05]

[80%,.23]

[87%,.03]

[92%,.11]

2.0

48%

18%

21%

10%

 

[78%,.03]

[88%,.13]

[90%,.02]

[96%,.05]

2.5

37%

13%

17%

10%

 

[82%,.02]

[93%,.08]

[93%,.01]

[98%,.03]

3.0

30%

10%

14%

10%

 

[86%,.02]

[96%,.04]

[94%,.01]

[99%,.01]

  1. *k = 25 studies; nominal significance level 0.10.
  2. **a = 1.5, ***a = 3.0.
  3. v = 0.1, 1.0, 10.0, ‡v = 0.5, 1.0, 2.0.