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Table 5 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

73%

24%

48%

16%

 

[36%,.34]

[37%,.74]

[57%,.25]

[57%,.54]

.5

69%

23%

37%

14%

 

[54%,.16]

[52%,.54]

[74%,.09]

[73%,.35]

1.0

56%

20%

25%

10%

 

[65%,.07]

[67%,.37]

[82%,.04]

[85%,.20]

1.5

44%

15%

17%

7%

 

[72%,.05]

[80%,.23]

[87%,.02]

[92%,.10]

2.0

32%

10%

12%

6%

 

[78%,.03]

[88%,.13]

[90%,.02]

[96%,.05]

2.5

24%

7%

9%

5%

 

[82%,.02]

[93%,.07]

[93%,.01]

[98%,.03]

3.0

19%

6%

7%

5%

 

[86%,.02]

[97%,.04]

[94%,.01]

[99%,.01]

  1. *k = 25 studies; nominal significance level 0.05.
  2. **a = 1.5, *** a = 3.0.
  3. v = 0.1, 1.0, 10.0, ‡v = 0.5, 1.0, 2.0.