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An Effect Size for Regression Predictors in Meta-Analysis

Author

Listed:
  • Ariel M. Aloe

    (University at Buffalo—State University of New York)

  • Betsy Jane Becker

    (Florida State University)

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.

Suggested Citation

  • Ariel M. Aloe & Betsy Jane Becker, 2012. "An Effect Size for Regression Predictors in Meta-Analysis," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 278-297, April.
    • Handle: RePEc:sae:jedbes:v:37:y:2012:i:2:p:278-297
    DOI: 10.3102/1076998610396901
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    References listed on IDEAS

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    1. Card, David & Krueger, Alan B, 1995. "Time-Series Minimum-Wage Studies: A Meta-analysis," American Economic Review, American Economic Association, vol. 85(2), pages 238-243, May.
    2. Viechtbauer, Wolfgang, 2010. "Conducting Meta-Analyses in R with the metafor Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i03).
    3. Larry Hedges & Ingram Olkin, 1981. "The asymptotic distribution of commonality components," Psychometrika, Springer;The Psychometric Society, vol. 46(3), pages 331-336, September.
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    Cited by:

    1. Markus Hang & Jerome Geyer‐Klingeberg & Andreas Rathgeber & Stefan Stöckl, 2018. "Economic Development Matters: A Meta‐Regression Analysis on the Relation between Environmental Management and Financial Performance," Journal of Industrial Ecology, Yale University, vol. 22(4), pages 720-744, August.
    2. Butler, H. Daniel & Tasca, Melinda & Zhang, Yan & Carpenter, Channing, 2019. "A systematic and meta-analytic review of the literature on correctional officers: Identifying new avenues for research," Journal of Criminal Justice, Elsevier, vol. 60(C), pages 84-92.
    3. Tracey Gunter & Jing Shao, 2016. "Synthesizing the Effect of Building Condition Quality on Academic Performance," Education Finance and Policy, MIT Press, vol. 11(1), pages 97-123, Winter.

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