Cited by 176Meta-analysis and systematic reviewsPsychometric Methodologies and TestingStatistical Methods and Bayesian Inference

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A model for integrating fixed-, random-, and mixed-effects meta-analyses into structural equation modeling.

Cheung, Mike W.-L.·2008·Psychological Methods

DOI 10.1037/a0013163

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Abstract

Meta-analysis and structural equation modeling (SEM) are two important statistical methods in the behavioral, social, and medical sciences. They are generally treated as two unrelated topics in the literature. The present article proposes a model to integrate fixed-, random-, and mixed-effects meta-analyses into the SEM framework. By applying an appropriate transformation on the data, studies in a meta-analysis can be analyzed as subjects in a structural equation model. This article also highlights some practical benefits of using the SEM approach to conduct a meta-analysis. Specifically, the SEM-based meta-analysis can be used to handle missing covariates, to quantify the heterogeneity of effect sizes, and to address the heterogeneity of effect sizes with mixture models. Examples are used to illustrate the equivalence between the conventional meta-analysis and the SEM-based meta-analysis. Future directions on and issues related to the SEM-based meta-analysis are discussed.

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Authors: Cheung, M. W.-L.
Affiliations: National University of Singapore (SG)
Corresponding author: Cheung, Mike W.-L.
ORCID: Cheung, Mike W.-L.
Venue: Psychological Methods
Publisher: American Psychological Association (APA)
Published: 2008
Volume: 13
Issue: 3
Pages: 182-202
ISSN: 1082-989X (ISSN-L)
1939-1463
DOI: 10.1037/a0013163
OpenAlex: W2102695454
Cited by: 175
References: 117
Citations by year: 2026: 10 · 2025: 6 · 2024: 5 · 2023: 11 · 2022: 13 · 2021: 4 · 2020: 6 · 2019: 6 · 2018: 15 · 2017: 12 · 2016: 11 · 2015: 20 · 2014: 14 · 2013: 15 · 2012: 10
FWCI: 6.48
Type: journal article
Language: en
Open access: closed
Locations: Psychological Methods (publishedVersion)
PubMed (publishedVersion)
National University of Singapore (submittedVersion)
Funders: Ministry of Education (R-581-000-064-112)
Topics: Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Keywords: structural equation modeling, fixed-effects meta-analysis, random-effects meta-analysis, effect size heterogeneity, mixture models, missing covariates, data transformation
MeSH terms: Humans, Models, Psychological, Meta-Analysis as Topic

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A model for integrating fixed-, random-, and mixed-effects meta-analyses into structural equation modeling.

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