Abstract
Although statistical power is often considered in the design of primary research studies, it is rarely considered in meta-analysis. Background and guidelines are provided for conducting power analysis in meta-analysis, followed by the presentation of a SAS macro that calculates power using the methods described by Hedges and Pigott (2001, 2004). Several detailed examples are given, including input statements and output. Practical issues in the application of power analysis to meta-analysis are discussed. The macro and examples may be downloaded as supplemental materials for this article from brm.psychonomic-journals.org/content/supplemental.
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Cafri, G., Kromrey, J., & Brannick, M. T. (2008). An empirical review of statistical power, Type I error rates, and model selection of meta-analyses published in psychology. Manuscript submitted for publication.
Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
DerSimonian, R., & Laird, N. (1986). Meta-analysis in clinical trials. Controlled Clinical Trials, 7, 177–188.
Erez, A., Bloom, M. C., & Wells, M. T. (1996). Using random rather than fixed effects models in meta-analysis: Implications for situational specificity and validity generalization. Personnel Psychology, 49, 275–306.
Hedges, L. V., & Olkin, I. (1985). Statistical methods for meta-analysis. Orlando, FL: Academic Press.
Hedges, L. V., & Pigott, T. D. (2001). The power of statistical tests in meta-analysis. Psychological Methods, 6, 203–217.
Hedges, L. V., & Pigott, T. D. (2004). The power of statistical tests for moderators in meta-analysis. Psychological Methods, 9, 426–445.
Hedges, L. V., & Vevea, J. L. (1998). Fixed- and random-effects models in meta-analysis. Psychological Methods, 3, 486–504.
Hunter, J. E., & Schmidt, F. L. (2004). Methods of meta-analysis: Correcting error and bias in research findings (2nd ed.). Thousand Oaks, CA: Sage.
Lipsey, M. W., & Wilson, D. B. (2001). Practical meta-analysis. Thousand Oaks, CA: Sage.
Schmidt, F. L. (1992). What do data really mean? Research findings, meta-analysis, and cumulative knowledge in psychology. American Psychologist, 47, 1173–1181.
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A copy of the macro can be obtained from luna.cas.usf.edu/~mbrannic/ files/software/softdir.htm.
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Cafri, G., Kromrey, J.D. & Brannick, M.T. A SAS macro for statistical power calculations in meta-analysis. Behavior Research Methods 41, 35–46 (2009). https://doi.org/10.3758/BRM.41.1.35
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DOI: https://doi.org/10.3758/BRM.41.1.35