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Hierarchical Dependence in Meta-Analysis

John R. Stevens and Alan M. Taylor

Journal of Educational and Behavioral Statistics, 2009, vol. 34, issue 1, 46-73

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.

Keywords: meta-analysis; hierarchical dependence; hierarchical Bayes; random effects (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:34:y:2009:i:1:p:46-73

DOI: 10.3102/1076998607309080

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