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Fixed Effects and Variance Components Estimation in Three-Level Meta-Analysis

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  • Konstantopoulos, Spyros

    () (Michigan State University)

Abstract

Meta-analytic methods have been widely applied to education, medicine, and the social sciences. Much of meta-analytic data are hierarchically structured since effect size estimates are nested within studies, and in turn studies can be nested within level-3 units such as laboratories or investigators, and so forth. Thus, multilevel models are a natural framework for analyzing meta-analytic data. This paper discusses the application of a Fisher scoring method in two- and three-level meta-analysis that takes into account random variation at the second and at the third levels. The usefulness of the model is demonstrated using data that provide information about school calendar types. SAS proc mixed and HLM can be used to compute the estimates of fixed effects and variance components.

Suggested Citation

  • Konstantopoulos, Spyros, 2011. "Fixed Effects and Variance Components Estimation in Three-Level Meta-Analysis," IZA Discussion Papers 5678, Institute for the Study of Labor (IZA).
  • Handle: RePEc:iza:izadps:dp5678
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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).
    2. Reid, Allecia E. & Dovidio, John F. & Ballester, Estrellita & Johnson, Blair T., 2014. "HIV prevention interventions to reduce sexual risk for African Americans: The influence of community-level stigma and psychological processes," Social Science & Medicine, Elsevier, vol. 103(C), pages 118-125.
    3. repec:eee:intell:v:67:y:2018:i:c:p:44-66 is not listed on IDEAS

    More about this item

    Keywords

    meta-analysis; multilevel models; random effects;

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

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