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Accuracy of conversion formula for effect sizes: A Monte Carlo simulation
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Psychology.ORCID iD: 0000-0002-7065-4662
2022 (English)In: Research Synthesis Methods, ISSN 1759-2879, E-ISSN 1759-2887, Vol. 13, no 4, p. 508-519Article in journal (Refereed) Published
Abstract [en]

In meta-analysis, effect sizes often need to be converted into a common metric. For this purpose conversion formulas have been constructed; some are exact, others are approximations whose accuracy has not yet been systematically tested. We performed Monte Carlo simulations where samples with pre-specified population correlations between the x and y-variables were drawn from a normally distributed population. A number of commonly used effect size measures and statistics were calculated from each sample. Using several available conversion formula these statistics were converted into Pearson r and Cohen's d and compared to r and d calculated directly from the original data. Converted values were systematically lower than the directly calculated values. While conversions to d were quite accurate, some of the conversions to r resulted in large biases. These systematic errors can in most cases be adjusted for by simply multiplying the converted values with a corresponding correction factor.

Place, publisher, year, edition, pages
John Wiley & Sons, 2022. Vol. 13, no 4, p. 508-519
Keywords [en]
effect size conversion, meta-analysis, Monte Carlo simulation
National Category
Psychology
Identifiers
URN: urn:nbn:se:uu:diva-473288DOI: 10.1002/jrsm.1560ISI: 000784404800001OAI: oai:DiVA.org:uu-473288DiVA, id: diva2:1653805
Funder
Helge Ax:son Johnsons stiftelse Available from: 2022-04-25 Created: 2022-04-25 Last updated: 2022-09-12Bibliographically approved

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Poom, Leo

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