Methods for Second Order Meta-Analysis and Illustrative Applications

16 Pages Posted: 27 Feb 2014 Last revised: 31 Dec 2016

See all articles by Frank L. Schmidt

Frank L. Schmidt

University of Iowa - Henry B. Tippie College of Business

In‐Sue Oh

Temple University - Department of Human Resource Management

Date Written: September 13, 2012

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. and Oh, In-Sue, Methods for Second Order Meta-Analysis and Illustrative Applications (September 13, 2012). Organizational Behavior and Human Decision Processes 121 (2013) 204-218, Fox School of Business Research Paper No. 14-008, Available at SSRN: https://ssrn.com/abstract=2401158

Frank L. Schmidt

University of Iowa - Henry B. Tippie College of Business ( email )

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In-Sue Oh (Contact Author)

Temple University - Department of Human Resource Management ( email )

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Philadelphia, PA 19122
United States

HOME PAGE: http://www.fox.temple.edu/mcm_people/in-sue-oh/

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