2023
DOI: 10.1177/25152459221147260
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A Guide for Calculating Study-Level Statistical Power for Meta-Analyses

Abstract: Meta-analysis is a popular approach in the psychological sciences for synthesizing data across studies. However, the credibility of meta-analysis outcomes depends on the evidential value of studies included in the body of evidence used for data synthesis. One important consideration for determining a study’s evidential value is the statistical power of the study’s design/statistical test combination for detecting hypothetical effect sizes of interest. Studies with a design/test combination that cannot reliably… Show more

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Cited by 16 publications
(13 citation statements)
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References 72 publications
(122 reference statements)
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“…All analyses were performed in R (Version 4.2.1; R Core Team, 2022) using the following packages: metafor (Version 3.8 − 1; Viechtbauer, 2010), dmetar (Version 0.0.9; Harrer et al, 2019), meta (Version 6.0 − 0; Schwarzer, 2007), metaforest (Version 0.1.3; van Lissa, 2020), metaviz (Version 0.3.1; Kossmeier et al, 2020), metameta (Version 0.2; Quintana, 2023), orchaRd (Version 2.0; Nakagawa et al, 2021), PublicationBias (Version 2.2.0; Mathur & VanderWeele, 2020), TOSTER (Version 0.8.0; Lakens, 2017), weightr (Version 2.0.2; Coburn et al, 2019), clubSandwich (Version 0.5.8; Pustejovsky & Tipton, 2022), and dplyr (Version 1.1.1; Wickham et al, 2015).…”
Section: Methodsmentioning
confidence: 99%
“…All analyses were performed in R (Version 4.2.1; R Core Team, 2022) using the following packages: metafor (Version 3.8 − 1; Viechtbauer, 2010), dmetar (Version 0.0.9; Harrer et al, 2019), meta (Version 6.0 − 0; Schwarzer, 2007), metaforest (Version 0.1.3; van Lissa, 2020), metaviz (Version 0.3.1; Kossmeier et al, 2020), metameta (Version 0.2; Quintana, 2023), orchaRd (Version 2.0; Nakagawa et al, 2021), PublicationBias (Version 2.2.0; Mathur & VanderWeele, 2020), TOSTER (Version 0.8.0; Lakens, 2017), weightr (Version 2.0.2; Coburn et al, 2019), clubSandwich (Version 0.5.8; Pustejovsky & Tipton, 2022), and dplyr (Version 1.1.1; Wickham et al, 2015).…”
Section: Methodsmentioning
confidence: 99%
“…This method converts significant and nonsignificant p -values reported in a literature into two-tailed z -scores, and uses the distribution of z -scores to calculate two estimates of average power using finite mixture modeling: the expected discovery rate, which is the percentage of studies predicted to be significant based on the average power of published studies and the expected replication rate, which is the average power of the studies entered, which is also an estimate of the percent of the studies that one would expect to replicate if one performed the studies in exactly the same way as they were done before. Second, we used a range of hypothetical effect sizes to estimate statistical power using the R package metameta [ 58 ]. This package allows researchers to estimate the statistical power of the studies included in the meta-analysis by using (a) a range of hypothetical effect sizes and (b) the meta-analytic effect size estimate as the true effect size.…”
Section: Methodsmentioning
confidence: 99%
“…To quantify the study-level statistical power across a range of true effect sizes, a ʻFirepowerʼ plot was generated using functions from the ‘metameta’ package (Supplementary Fig. 2, Supplemental Digital Content 5, http://links.lww.com/JS9/B196 ) 22 . This analysis provided valuable insights into the statistical robustness of the included meta-analyses 22 .…”
Section: Methodsmentioning
confidence: 99%
“…2, Supplemental Digital Content 5, http://links.lww.com/JS9/B196 ) 22 . This analysis provided valuable insights into the statistical robustness of the included meta-analyses 22 .…”
Section: Methodsmentioning
confidence: 99%