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Fitting Categorical Models to Effect Sizes from a Series of Experiments

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  • Larry V. Hedges

Abstract

One method of combining the results of a series of two-group experiments involves the estimation of the effect size (population value of the standarized mean difference) for each experiment. When each experiment has the same effect size, a pooled estimate of effect size provides a summary of the results of the series of experiments. However, when effect sizes are not homogeneous, a pooled estimate can be misleading. A statistical test is provided for testing whether a series of experiments have the same effect size. A general strategy is provided for fitting models to the results of a series of experiments when the experiments do not share the same effect size and the collection of experiments is divided into a priori classes. The overall fit statistic H T is partitioned into a between-class fit statistic H B and a within-class fit statistic H w . The statistics H B and H w permit the assessment of differences between effect sizes for different classes and the assessment of the homogeneity of effect size within classes.

Suggested Citation

  • Larry V. Hedges, 1982. "Fitting Categorical Models to Effect Sizes from a Series of Experiments," Journal of Educational and Behavioral Statistics, , vol. 7(2), pages 119-137, June.
    • Handle: RePEc:sae:jedbes:v:7:y:1982:i:2:p:119-137
    DOI: 10.3102/10769986007002119
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    Cited by:

    1. Leighton Vaughan Williams & Ming‐Chien Sung & Peter A. F. Fraser‐Mackenzie & John Peirson & Johnnie E. V. Johnson, 2018. "Towards an Understanding of the Origins of the Favourite–Longshot Bias: Evidence from Online Poker Markets, a Real‐money Natural Laboratory," Economica, London School of Economics and Political Science, vol. 85(338), pages 360-382, April.
    2. Capella, Michael L. & Webster, Cynthia & Kinard, Brian R., 2011. "A review of the effect of cigarette advertising," International Journal of Research in Marketing, Elsevier, vol. 28(3), pages 269-279.
    3. Miriam Flickinger & Miriam Zschoche, 2018. "Corporate divestiture and performance: an institutional view," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 22(1), pages 111-131, March.
    4. Ligia Muntean Jemna, 2017. "Using Quantitative and Mixed Research Methods in Marketing: A Meta-Analytic Approach," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 13(4), pages 227-249, AUGUST.
    5. Grzegorz Zasuwa, 2017. "The Role of Company-Cause Fit and Company Involvement in Consumer Responses to CSR Initiatives: A Meta-Analytic Review," Sustainability, MDPI, vol. 9(6), pages 1-16, June.

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