A Generalized Formula for Converting Chi-Square Tests to Effect Sizes for Meta-Analysis

Michael S. Rosenberg

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Meta-analysis and systematic reviews Statistical Methods in Epidemiology Psychology Research and Bibliometrics

Abstract

The common formula used for converting a chi-square test into a correlation coefficient for use as an effect size in meta-analysis has a hidden assumption which may be violated in specific instances, leading to an overestimation of the effect size. A corrected formula is provided.

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References

1988Statistical Methods for Meta-Analysis 1984Essentials of Behavioral Research: Methods and Data Analysis 1995The Handbook of Research Synthesis.1994Parametric measures of effect size.1998Synthesizing Research: A Guide for Literature Reviews 2013Handbook of Meta-analysis in Ecology and Evolution 1978Interpersonal expectancy effects: the first 345 studies 1965Handbook of clinical psychology

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