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Hierarchical Dependence in Meta-Analysis

Author

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  • John R. Stevens
  • Alan M. Taylor

Abstract

Meta-analysis is a frequent tool among education and behavioral researchers to combine results from multiple experiments to arrive at a clear understanding of some effect of interest. One of the traditional assumptions in a meta-analysis is the independence of the effect sizes from the studies under consideration. This article presents a meta-analytic review of 13 experiments with 18 study reports all involving the effect of native-language (L1) vocabulary aids on second-language (L2) reading comprehension. Some experiments produced multiple study reports, creating a dependence structure among the resulting effect size estimates. The covariance among these effect size estimates is estimated and incorporated into a proposed meta-analysis model that accounts for the dependence at a hierarchical level. The overall effect size estimate (g =. 63 ) indicates that L1 vocabulary aids can be an effective L2 reading comprehension aid in the short term. An interpretation of the hierarchical components is discussed.

Suggested Citation

  • John R. Stevens & Alan M. Taylor, 2009. "Hierarchical Dependence in Meta-Analysis," Journal of Educational and Behavioral Statistics, , vol. 34(1), pages 46-73, March.
    • Handle: RePEc:sae:jedbes:v:34:y:2009:i:1:p:46-73
    DOI: 10.3102/1076998607309080
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    Cited by:

    1. Marco Colagrossi & Domenico Rossignoli & Mario A. Maggioni, 2017. "Does democracy cause growth? A meta-analysis perspective," DISEIS - Quaderni del Dipartimento di Economia internazionale, delle istituzioni e dello sviluppo dis1703, Università Cattolica del Sacro Cuore, Dipartimento di Economia internazionale, delle istituzioni e dello sviluppo (DISEIS).

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