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A model for integrating fixed-, random-, and mixed-effects meta-analyses into structural equation modeling.
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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“To produce the main estimates, we used random-effects metaanalytic structural equation modeling, as described by Cheung (2008).”
From How Much Does Education Improve Intelligence? A Meta-Analysis (2018) · cites this paper as Cheung, 2008
Citations
Cites
Estimating the Dimension of a Model
Schwarz, G. (1978) · The Annals of Statistics · doi:10.1214/aos/1176344136 · Cited by 47,033
Meta-analysis in clinical trials
DerSimonian, R., & Laird, N. (1986) · Controlled Clinical Trials · doi:10.1016/0197-2456(86)90046-2 · Cited by 39,552
Quantifying heterogeneity in a meta‐analysis
Higgins, J. P. T., & Thompson, S. G. (2002) · Statistics in Medicine · doi:10.1002/sim.1186 · Cited by 36,763
Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences
Cohen, P., Cohen, P., West, S. G., & Aiken, L. S. (2014) · Psychology Press eBooks · doi:10.4324/9781410606266 · Cited by 20,870
Multiple Imputation for Nonresponse in Surveys
Rubin, D. B. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316696 · Cited by 20,701
Hierarchical Linear Models: Applications and Data Analysis Methods.
Longford, N. T., Bryk, A. S., & Raudenbush, S. W. (1993) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2075823 · Cited by 18,773
Structural Equations with Latent Variables.
Clogg, C. C., & Bollen, K. A. (1991) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2072165 · Cited by 17,475
Missing data: our view of the state of the art
Schafer, J. L., & Graham, J. W. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.2.147 · Cited by 11,638
McLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991
Wasserman, S. S., Hedges, L. V., & Olkin, I. (1988) · Journal of Educational Statistics · doi:10.2307/1164953 · Cited by 10,361
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Meta‐analysis: A Brief Introduction
Andrel, J. A., Keith, S. W., & Leiby, B. E. (2009) · Clinical and Translational Science · doi:10.1111/j.1752-8062.2009.00152.x · Cited by 22
Does personality influence effectual behaviour?
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Rango, P. D. (2015) · European Journal of Vascular and Endovascular Surgery · doi:10.1016/j.ejvs.2015.09.021 · Cited by 23
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Nagy, G., Neumann, M., Trautwein, U., & Lüdtke, O. (2010) · VS Verlag für Sozialwissenschaften eBooks · doi:10.1007/978-3-531-92037-5_6 · Cited by 16
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Metadata
- 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
- Published
- 2008
- Volume
- 13
- Issue
- 3
- Pages
- 182-202
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- 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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