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Table 2 Post hoc power calculations for meta-epidemiological datasets

From: Risk of bias: a simulation study of power to detect study-level moderator effects in meta-analysis

 

Power for the identified heterogeneity (as present in the empirical dataset)

Power in the presence of reduced heterogeneity (if other moderators could be identified and heterogeneity could be reduced)

Power in the presence of no residual heterogeneity (if all other moderators could be identified)

Dataset 1

   

216 trials, mean sample size 80

Observed heterogeneity: I2 = 72.4%, τ = 0.305

Modeled residual heterogeneity

14%

0.25%

0%

Moderator effect = 0.1

38%

50%

85%

Moderator effect = 0.2

91%

100%

100%

Dataset 2

   

165 trials, mean sample size 286

Observed heterogeneity: I2 = 97.5%, τ = 0.345

Modeled residual heterogeneity

70%

35%

0%

Moderator effect = 0.1

12%

20%

100%

Moderator effect = 0.2

37%

60%

100%

Dataset 3

   

100 trials, mean sample size 119

Observed heterogeneity I2 = 59.6% τ = 0.131

Modeled residual heterogeneity

5%

0.25%

0%

Moderator effect = 0.1

42%

58%

73%

Moderator effect = 0.2

92%

99%

100%

Dataset 4

   

149 trials, mean sample size 342

Observed heterogeneity I2 = %, τ = 0.03

  1. Dataset characteristics and simulation approach are described in detail elsewhere [18].