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The central purpose of this study is to document how a sharper focus upon statistical power may reduce the impact of selective reporting bias in meta‐analyses. We introduce the weighted average of the adequately powered (WAAP) as an alternative to the conventional random‐effects (RE) estimator. When the results of some of the studies have been selected to be positive and statistically significant...
This study challenges two core conventional meta‐analysis methods: fixed effect and random effects. We show how and explain why an unrestricted weighted least squares estimator is superior to conventional random‐effects meta‐analysis when there is publication (or small‐sample) bias and better than a fixed‐effect weighted average if there is heterogeneity. Statistical theory and simulations of effect...
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