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Methods for second order meta-analysis and illustrative applications

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  • Schmidt, Frank L.
  • Oh, In-Sue

Abstract

This paper presents methods for second order meta-analysis along with several illustrative applications. A second order meta-analysis is a meta-analysis of a number of statistically independent and methodologically comparable first order meta-analyses examining ostensibly the same relationship in different contexts. First order meta-analysis greatly reduces sampling error variance but does not eliminate it. The residual sampling error is called second order sampling error. The purpose of a second order meta-analysis is to estimate the proportion of the variance in mean meta-analytic effect sizes across multiple first order meta-analyses attributable to second order sampling error and to use this information to improve accuracy of estimation for each first order meta-analytic estimate. We present equations and methods based on the random effects model for second order meta-analysis for three situations and three empirical applications of second order meta-analysis to illustrate the potential value of these methods to the pursuit of cumulative knowledge.

Suggested Citation

  • Schmidt, Frank L. & Oh, In-Sue, 2013. "Methods for second order meta-analysis and illustrative applications," Organizational Behavior and Human Decision Processes, Elsevier, vol. 121(2), pages 204-218.
    • Handle: RePEc:eee:jobhdp:v:121:y:2013:i:2:p:204-218
    DOI: 10.1016/j.obhdp.2013.03.002
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    2. Geert Hofstede, 2010. "The GLOBE debate: Back to relevance," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 41(8), pages 1339-1346, October.
    3. Johnson, Jeff W. & Steel, Piers & Scherbaum, Charles A. & Hoffman, Calvin C. & Richard Jeanneret, P. & Foster, Jeff, 2010. "Validation Is Like Motor Oil: Synthetic Is Better," Industrial and Organizational Psychology, Cambridge University Press, vol. 3(3), pages 305-328, September.
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    Cited by:

    1. Tanja Mingebach & Inge Kamp-Becker & Hanna Christiansen & Linda Weber, 2018. "Meta-meta-analysis on the effectiveness of parent-based interventions for the treatment of child externalizing behavior problems," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-21, September.

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