Erratum: Robust variance estimation in meta-regression with dependent effect size estimates
Abstract
On pages 47–48, under the heading ‘Dependence Introduced by Study Level Effects’, the estimators of τ2 and ω2 given are incorrect. The correct estimators are as follows. Finally, please note that the R functions given in Appendix B contain several typesetting errors (which unfortunately we did not catch). We also did not include an R function for estimating the standard errors in a hierarchical model. In order to avoid new typographical errors, we have included correct (and updated) versions of both functions on our website, http://www.northwestern.edu/ipr/qcenter/RVE-meta-analysis.html.
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Robust variance estimation allows all estimated effect sizes from a study to be included and synthesized simultaneously, unlike traditional meta-analysis.
“Unlike traditional meta-analysis, robust variance estimation allows for the inclusion and synthesis of all estimated effect sizes simultaneously (Hedges et al. 2010; Tanner-Smith and Tipton 2013).”
From Effects of after-school programs with at-risk youth on attendance and externalizing behaviors: A systematic review and meta-analysis (2015) · cites this paper as Hedges et al. 2010
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Andrei, F., Siegling, A. B., Aloe, A. M., Baldaro, B., & Petrides, K. V. (2016) · Journal of Personality Assessment · doi:10.1080/00223891.2015.1084630 · Cited by 235 · see citing works
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Cheung, M. W. ‐. (2015) · doi:10.1002/9781118957813.ch6 · Cited by 2 · see citing works
Smith, S. M., D, M. F. M., Jensen, M. P., Mbowe, O. B., McDermott, M., Turk, D. C., & Dworkin, R. H. (2019) · Journal of Pain · doi:10.1016/j.jpain.2019.09.008 · Cited by 2 · see citing works
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Thomas, D. R., & Larwin, K. H. (2024) · Figshare · doi:10.6084/m9.figshare.26597477
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Sparling, T. M., Cornejo, C., Cheng, B., Troy, L. M., & Kadiyala, S. (2026) · BMC Global and Public Health · doi:10.1186/s44263-026-00283-w
Zheng, J., Ye, Y., Li, X., & Peng, J. (2026) · Frontiers in Physiology · doi:10.3389/fphys.2026.1878224
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Duan, J., Chen, X., Duan, H., Tie, L., Wang, J., Ding, G., & Guo, Q. (2026) · Ecological Indicators · doi:10.1016/j.ecolind.2026.115460
Shabaka, S. H., & Sikaily, A. E. (2026) · Aquatic Toxicology · doi:10.1016/j.aquatox.2026.108038
- Authors
- Hedges, L. V., Tipton, E., & Johnson, M. C.
- Venue
- Research Synthesis Methods
- Publisher
- Wiley
- Published
- 2010-04
- Volume
- 1
- Issue
- 2
- Pages
- 164-165
- ISSN
- 1759-2879 (ISSN-L)
- OpenAlex
- W4240024782
- Cited by
- 41
- References
- 0
- Citations by year
- 2026: 8 · 2025: 2 · 2024: 4 · 2023: 7 · 2022: 4 · 2021: 1 · 2020: 4 · 2019: 4 · 2018: 2 · 2016: 1 · 2015: 3 · 2014: 1
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Research Synthesis Methods (publishedVersion)
- 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
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- robust variance estimation, meta-regression, omega squared, R functions, hierarchical models
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