Meta-Analysis
Abstract
The use of statistical methods to combine the results of independent empirical research studies (meta-analysis) has a long history. Meta-analytic work can be divided into two traditions: tests of the statistical significance of combined results and methods for combining estimates across studies. The principal classes of combined significance tests are reviewed, and the limitations of these tests are discussed. Fixed effects approaches treat the effect magnitude parameters to be estimated as a consequence of a model involving fixed but unknown constants. Random effects approaches treat effect magnitude parameters as if they were sampled from a universe of effects and attempt to estimate the mean and variance of the hyperpopulation of effects. Mixed models incorporate both fixed and random effects. Finally, areas of current research are summarized, including methods for handling missing data, models for publication selection, models to handle studies that are not independent, and distribution-free models for random effects.
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The random-effects model accounts for within- and between-study variability and therefore allows more general inferences than fixed-effect models.
“This model is based on the assumption that the population effect differs randomly from study to study and accounts for within- and between-study variability [72,73]; therefore, more general inferences can be made compared with fixed-effect models.”
From Conceptualizations of cyberchondria and relations to the anxiety spectrum: Systematic review and meta-analysis (2021) · cites this paper as [72]
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Rodriguez, J. E., Williams, D. R., & Bürkner, P. (2023) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/bmsp.12299 · Cited by 14 · see citing works
The Effects of Using Representations in Elementary Mathematics: Meta-Analysis of Research
Sokolowski, A. (2018) · IAFOR Journal of Education · doi:10.22492/ije.6.3.08 · Cited by 16 · see citing works
Meta-Analysis of Studies on Accident Contributing Factors in the Greek Construction Industry
Antoniou, F., & Agrafioti, N. F. (2023) · Sustainability · doi:10.3390/su15032357 · Cited by 14 · see citing works
Boulch, D. L., Buronfosse, M., Guern, Y. L., Duvernois, P.-A., & Payen, N. (2024) · The International Journal of Life Cycle Assessment · doi:10.1007/s11367-024-02293-y · Cited by 14 · see citing works
Mugwanya, M., Dawood, M. A. O., Kimera, F., & Sewilam, H. (2024) · Aquaculture Reports · doi:10.1016/j.aqrep.2024.102200 · Cited by 14 · see citing works
Azene, A. G., Workie, M. S., & Aragaw, A. M. (2021) · Current Therapeutic Research · doi:10.1016/j.curtheres.2021.100633 · Cited by 14 · see citing works
Idul, J. J. A., & Fajardo, M. T. M. (2023) · Journal of Mathematics and Science Teacher · doi:10.29333/mathsciteacher/13700 · Cited by 14 · see citing works
Manipulation of attention affects subitizing performance: A systematic review and meta-analysis
Chen, J. S., Paul, J. M., & Reeve, R. A. (2022) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2022.104753 · Cited by 13 · see citing works
Nguyen‐Anh, T., Hoang-Duc, C., Tiet, T. T., Phu Nguyen-van, B., & To‐The, N. (2022) · Food Policy · doi:10.1016/j.foodpol.2022.102284 · Cited by 13 · see citing works
Random or Fixed? An Empirical Examination of Meta-Analysis Model Choices
Slaney, K. L., Tafreshi, D., & Hohn, R. (2018) · Review of General Psychology · doi:10.1037/gpr0000140 · Cited by 13 · see citing works
Global scenarios under crises: the case of post COVID-19 era
Hafezi, R., & Asemi, P. (2022) · foresight · doi:10.1108/fs-12-2021-0248 · Cited by 12 · see citing works
How Do Viewers Synthesize Conflicting Information from Data Visualizations?
Mantri, P., Subramonyam, H., Michal, A. L., & Xiong, C. (2022) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2022.3209467 · Cited by 12 · see citing works
The Adequacy of Reporting Randomized, Controlled Trials in the Evaluation of Antidepressants
Streiner, D. L., & Joffe, R. (1998) · The Canadian Journal of Psychiatry · doi:10.1177/070674379804301008 · Cited by 15 · see citing works
A Meta-Analysis of Solution-Focused Brief Therapy for School-Related Problems in Adolescents
Karababa, A. (2023) · Research on Social Work Practice · doi:10.1177/10497315231170865 · Cited by 11 · see citing works
Al-Zaman, M. S., Khemka, A., Zhang, A., & Rockwell, G. (2023) · Journal of Academic Ethics · doi:10.1007/s10805-023-09491-7 · Cited by 11 · see citing works
A meta-analysis of microbial thermal inactivation in low moisture foods
Rana, Y. S., Chen, L., Jiao, Y., Johnson, L. M., & Snyder, A. B. (2024) · Food Microbiology · doi:10.1016/j.fm.2024.104515 · Cited by 10 · see citing works
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Gypsum and cereal rye cover crops affect soil chemistry: Trace metals and plant nutrients
Gonzalez, J. M., Dick, W. A., Islam, K. R., Watts, D. B., Fausey, N. R., Flanagan, D. C., VanToai, T. T., Batte, M. T., Reeder, R. C., Kost, D. A., et al. (2022) · Soil Science Society of America Journal · doi:10.1002/saj2.20394 · Cited by 10 · see citing works
Assessing the effectiveness of smartphones in education: A Meta-analysis of recent studies
Ibragimov, A. G., Gimaliev, V. G., Khrisanova, E. G., Aleksandrova, N. S., Omarova, L. B., & Гаврилович, Б. А. (2023) · Online Journal of Communication and Media Technologies · doi:10.30935/ojcmt/12877 · Cited by 10 · see citing works
Tashman, P., Spadafora, E., & Wagner, D. P. M. (2022) · Multinational Business Review · doi:10.1108/mbr-12-2021-0175 · Cited by 9 · see citing works
- Authors
- Hedges, L. V.
- Affiliations
- University of Chicago (US)
- Corresponding author
- Hedges, Larry V.
- ORCID
- Hedges, Larry V.
- Venue
- Journal of Educational Statistics
- Published
- 1992-12
- Volume
- 17
- Issue
- 4
- Pages
- 279-296
- ISSN
- 0362-9791 (ISSN-L)
- OpenAlex
- W4231153775
- Cited by
- 186
- References
- 37
- Citations by year
- 2026: 12 · 2025: 16 · 2024: 15 · 2023: 26 · 2022: 29 · 2021: 14 · 2020: 9 · 2019: 7 · 2018: 11 · 2017: 4 · 2016: 2 · 2015: 7 · 2014: 1 · 2013: 2 · 2012: 4
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Educational Statistics (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Keywords
- meta-analysis, fixed effects model, random effects models, mixed models, missing data
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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