An Effect Size for Regression Predictors in Meta-Analysis

Ariel M. Aloe and Betsy Jane Becker
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Ariel M. Aloe: University at Buffalo—State University of New York
Betsy Jane Becker: Florida State University

Journal of Educational and Behavioral Statistics, 2012, vol. 37, issue 2, 278-297

Abstract: A new effect size representing the predictive power of an independent variable from a multiple regression model is presented. The index, denoted as r sp , is the semipartial correlation of the predictor with the outcome of interest. This effect size can be computed when multiple predictor variables are included in the regression model and represents a partial effect size in the correlation family. The derivations presented in this article provide the effect size and its variance. Standard errors and confidence intervals can be computed for individual r sp values. Also, meta-analysis of the semipartial correlations can proceed in a similar fashion to typical meta-analyses, where weighted analyses can be used to explore heterogeneity and to estimate central tendency and variation in the effects. The authors provide an example from a meta-analysis of studies of the relationship of teacher verbal ability to school outcomes.

Keywords: effect size; meta-analysis; statistics (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:37:y:2012:i:2:p:278-297

DOI: 10.3102/1076998610396901

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