Random or Fixed? An Empirical Examination of Meta-Analysis Model Choices
Abstract
When conducting meta-analyses, researchers must make decisions about which statistical model is most appropriate for the specific context and aims of the meta-analysis. Although there are several meta-analysis models, most researchers choose between two general models: fixed-effect (FE) and random-effects (RE). Yet, the basis on which these two general models are distinguished and of when it is appropriate to use one or the other varies in the methodological literature. Although model-to-inference inconsistencies have been previously noted, there has been little empirical investigation of whether, and to what extent, the varying conceptualizations of the distinctions between FE and RE models are reflected in published meta-analyses. The present study explores whether conceptualizations of model distinctions among psychological researchers are consistent with those in the methods literature. We also examine model choices and rationales given by psychological researchers in two samples of published meta-analyses in psychology-related journals. We identify four primary categories for distinguishing between FE and RE models, only two of which were predominant in our samples. Although model choice appears to be reported at a moderately high rate, many researchers continue not to provide explicit rationales for their model choices or do not clearly tie model choices to the specific research aims of the meta-analyses. Implications of these findings are discussed.
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Cites
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 · see citing works
Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009) · doi:10.1002/9780470743386 · Cited by 14,225 · see citing works
Primary, Secondary, and Meta-Analysis of Research
GLASS, G. V. (1976) · Educational Researcher · doi:10.3102/0013189x005010003 · Cited by 4,890 · see citing works
Meta-Analytic Procedures for Social Research
Rosenthal, R. (1991) · doi:10.4135/9781412984997 · Cited by 4,635 · see citing works
The Handbook of Research Synthesis and Meta-Analysis
(2019) · doi:10.7758/9781610448864 · Cited by 4,553 · see citing works
Meta-analysis in social research
(1982) · Evaluation and Program Planning · doi:10.1016/0149-7189(82)90011-8 · Cited by 3,896 · see citing works
Fixed-and random-effects models in meta-analysis.
Hedges, L. V., & Vevea, J. L. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.4.486 · Cited by 2,977 · see citing works
Random-effects model for meta-analysis of clinical trials: An update
DerSimonian, R., & Kacker, R. (2007) · Contemporary Clinical Trials · doi:10.1016/j.cct.2006.04.004 · Cited by 2,374 · see citing works
Methods of Meta-Analysis: Correcting Error and Bias in Research Findings.
Raudenbush, S. W., Hunter, J. E., & Schmidt, F. L. (1991) · Journal of the American Statistical Association · doi:10.2307/2289738 · Cited by 2,363 · see citing works
Meta-analysis of psychotherapy outcome studies.
Smith, M. L., & Glass, G. V. (1977) · American Psychologist · doi:10.1037/0003-066x.32.9.752 · Cited by 2,154 · see citing works
Field, A. P., & Gillett, R. (2010) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711010x502733 · Cited by 1,162 · see citing works
Interpersonal expectancy effects: the first 345 studies
Rosenthal, R., & Rubin, D. B. (1978) · Behavioral and Brain Sciences · doi:10.1017/s0140525x00075506 · Cited by 1,143 · see citing works
The Handbook of Research Synthesis
Hanka, R. (1994) · BMJ · doi:10.1136/bmj.309.6952.488a · Cited by 1,064 · see citing works
<i>Meta-analysis</i> Spurious precision? Meta-analysis of observational studies
Egger, M., Schneider, M., & Smith, G. D. (1998) · BMJ · doi:10.1136/bmj.316.7125.140 · Cited by 997 · see citing works
Estimation of a Single Effect Size: Parametric and Nonparametric Methods
Hedges, L. V., & Olkin, I. (1985) · Statistical Methods for Meta-Analysis · doi:10.1016/b978-0-08-057065-5.50010-5 · Cited by 983 · see citing works
Petitti, D. B. (1994) · Medical Entomology and Zoology · Cited by 871 · see citing works
Hunter, J. E., & Schmidt, F. L. (2000) · International Journal of Selection and Assessment · doi:10.1111/1468-2389.00156 · Cited by 833 · see citing works
Borenstein, M., & Higgins, J. P. T. (2013) · Prevention Science · doi:10.1007/s11121-013-0377-7 · Cited by 767 · see citing works
Field, A. P. (2001) · Psychological Methods · doi:10.1037/1082-989x.6.2.161 · Cited by 725 · see citing works
Schmidt, F. L., Oh, I., & Hayes, T. L. (2008) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711007x255327 · Cited by 713 · see citing works
<i>Meta-analysis:</i> Potentials and promise
Egger, M., & Smith, G. D. (1997) · BMJ · doi:10.1136/bmj.315.7119.1371 · Cited by 646 · see citing works
Reporting standards for research in psychology: why do we need them? What might they be?
APA Publications and Communications Board Working Group on Journal Article Reporting Standards (2008) · American Psychologist · doi:10.1037/0003-066x.63.9.839 · Cited by 571 · see citing works
Overton, R. C. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.3.354 · Cited by 353 · see citing works
Is the Meta-Analysis of Correlation Coefficients Accurate When Population Correlations Vary?
Field, A. P. (2005) · Psychological Methods · doi:10.1037/1082-989x.10.4.444 · Cited by 329 · see citing works
The Problems in Using Fixed-Effects Models of Meta-Analysis on Real-World Data
Field, A. P. (2003) · Understanding Statistics · doi:10.1207/s15328031us0202_02 · Cited by 237 · see citing works
Understanding research synthesis (meta-analysis).
Mosteller, F., & Colditz, G. A. (1996) · Annual Review of Public Health · doi:10.1146/annurev.pu.17.050196.000245 · Cited by 228 · see citing works
How Science Takes Stock: The Story of Meta-Analysis
Thacker, S. B. (1998) · JAMA · doi:10.1001/jama.279.3.244 · Cited by 219 · see citing works
Combining Information: Statistical Issues and Opportunities for Research
Srinivasan, C. (1993) · Technometrics · doi:10.2307/1270296 · Cited by 213 · see citing works
Hedges, L. V. (1992) · Journal of Educational Statistics · doi:10.3102/10769986017004279 · Cited by 186 · see citing works
Meta-Analysis: A Comparison of Approaches
Tomasic, D. M. (2005) · Medicine & Science in Sports & Exercise · doi:10.1097/00005768-200503000-00032 · Cited by 164 · see citing works
Advances in selection and assessment.
Smith, M. C., & Robertson, I. T. (1989) · Medical Entomology and Zoology · Cited by 156 · see citing works
Revealed or Concealed? Transparency of Procedures, Decisions, and Judgment Calls in Meta-Analyses
Aytug, Z. G., Rothstein, H. R., Zhou, W., & Kern, M. C. (2011) · Organizational Research Methods · doi:10.1177/1094428111403495 · Cited by 145 · see citing works
Hypothesis tests for population heterogeneity in meta‐analysis
Viechtbauer, W. (2006) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711005x64042 · Cited by 136 · see citing works
Comparison of three major meta-analytic approaches.
Johnson, B. T., Mullen, B. R., & Eduardo Salas, A. (1995) · Journal of Applied Psychology · doi:10.1037/0021-9010.80.1.94 · Cited by 133 · see citing works
Comparison of two random-effects methods of meta-analysis.
Hall, S. M., & Brannick, M. Τ. (2002) · Journal of Applied Psychology · doi:10.1037/0021-9010.87.2.377 · Cited by 120 · see citing works
Synthesizing Qualitative Research
(2011) · Wiley eBooks · doi:10.1002/9781119959847 · Cited by 80 · see citing works
Meta‐analysis: Weighing the evidence
Jones, D. R. H. (1995) · Statistics in Medicine · doi:10.1002/sim.4780140206 · Cited by 75 · see citing works
Schmidt, F. L., & Hunter, J. E. (1999) · Journal of Applied Psychology · doi:10.1037/0021-9010.84.1.144 · Cited by 62 · see citing works
Reporting Research in Psychology: How to Meet Journal Article Reporting Standards
Cooper, H. M. (2010) · Medical Entomology and Zoology · Cited by 48 · see citing works
An Empirical Assessment of Meta-Analytic Practice
Dieckmann, N. F., Malle, B. F., & Bodner, T. (2009) · Review of General Psychology · doi:10.1037/a0015107 · Cited by 40 · see citing works
Guidelines for Conducting and Reporting Meta-Analyses
Rothstein, H. R., & McDaniel, M. A. (1989) · Psychological Reports · doi:10.2466/pr0.1989.65.3.759 · Cited by 27 · see citing works
Deficiencies of Reporting in Meta-Analyses and Some Remedies
Harwell, M. R., & Maeda, Y. (2008) · The Journal of Experimental Education · doi:10.3200/jexe.76.4.403-430 · Cited by 24 · see citing works
Hunter, J. E., & Schmidt, F. L. (1991) · Springer eBooks · doi:10.1007/978-94-009-2195-5_6 · Cited by 22 · see citing works
Field, A. P. (2009) · SAGE Publications Ltd eBooks · doi:10.4135/9780857020994.n18 · Cited by 5 · see citing works
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1 of the 45 references couldn’t be matched to a known paper.
Cited by
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Emotional intelligence and the dark triad: A meta-analysis
Michels, M., & Schulze, R. (2021) · Personality and Individual Differences · doi:10.1016/j.paid.2021.110961 · Cited by 43 · see citing works
Primary Study Quality in Psychological Meta-Analyses: An Empirical Assessment of Recent Practice
Hohn, R. E., Slaney, K. L., & Tafreshi, D. (2019) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.02667 · Cited by 25 · see citing works
Self-citationJonnson, M. R., Bird, B. M., Li, S. M. Y., & Viljoen, J. L. (2019) · Criminal Justice and Behavior · doi:10.1177/0093854819848803 · Cited by 27 · see citing works
Zhang, K., Yang, X., zhang, M., Wang, C., Fang, P., Xue, M., Zhao, J., Gao, X., Pan, R. L., & Gong, P. (2019) · Journal of Neuroscience Research · doi:10.1002/jnr.24502 · Cited by 27 · see citing works
Tutal, Ö. (2023) · Journal of Practical Studies in Education · doi:10.46809/jpse.v4i5.71 · Cited by 10 · see citing works
An Empirical Review of Research and Reporting Practices in Psychological Meta-Analyses
Hohn, R. E., Slaney, K. L., & Tafreshi, D. (2020) · Review of General Psychology · doi:10.1177/1089268020918844 · Cited by 8 · see citing works
Self-citationClients’ resilience and distress in psychotherapy: a preliminary meta-analysis
Bartholomew, T. T., Robbins, K. A., Joy, E. E., Kang, E., & Aguiñiga, S. M. (2020) · Counselling Psychology Quarterly · doi:10.1080/09515070.2020.1777389 · Cited by 9 · see citing works
Kaso, A. W., Obsie, G. W., Debela, B. G., Tololu, A. K., Mohammed, E., Hareru, H. E., Sisay, D., Agero, G., & Hailu, A. (2024) · PLoS ONE · doi:10.1371/journal.pone.0293513 · Cited by 3 · see citing works
How to compare multiple intervention effects: Educational research using network meta-analysis
Ha, C. (2022) · International Journal of Research & Method in Education · doi:10.1080/1743727x.2022.2035352 · Cited by 3 · see citing works
Does Retrieval Practice Protect Memory Against Stress? A Meta-Analysis
Mihaylova, M., Zocca, M., Kliegel, M., & Rothen, N. (2025) · Swiss Psychology Open · doi:10.5334/spo.101 · Cited by 1 · see citing works
OTANTİK ÖĞRENMENİN ÖĞRENCİLERİN DERSE YÖNELİK TUTUMLARINA ETKİSİ: META-ANALİTİK BİR DEĞERLENDİRME
Tutal, Ö. (2023) · Bingöl Üniversitesi Sosyal Bilimler Enstitüsü Dergisi · doi:10.29029/busbed.1295078 · Cited by 1 · see citing works
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Tutal, Ö. (2023) · i-manager’s Journal on Educational Psychology · doi:10.26634/jpsy.17.1.19424
Das, U. K., & Jena, A. K. (2025) · Journal of Practical Studies in Education · doi:10.46809/jpse.v6i4.117
- Authors
- Slaney, K. L., Tafreshi, D., & Hohn, R.
- Affiliations
- Simon Fraser University (CA)
- Corresponding author
- Slaney, Kathleen L.
- Venue
- Review of General Psychology
- Publisher
- SAGE Publications
- Published
- 2018-09
- Volume
- 22
- Issue
- 3
- Pages
- 290-304
- ISSN
- 1089-2680 (ISSN-L)
- 1939-1552
- OpenAlex
- W2794061250
- Cited by
- 13
- References
- 45
- Citations by year
- 2025: 2 · 2024: 1 · 2023: 3 · 2022: 1 · 2021: 1 · 2020: 2 · 2019: 3
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Review of General Psychology (publishedVersion)
- Funders
- Social Sciences and Humanities Research Council of Canada (K-435-2014-0279)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Reliability and Agreement in Measurement
- Keywords
- meta-analysis, fixed effects model, random effects models, model selection, publication practices, psychology research, methodological reporting, effect size heterogeneity
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