Dealing with effect size multiplicity in systematic reviews and meta‐analyses
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Systematic reviews often encounter primary studies that report multiple effect sizes based on data from the same participants. These have the potential to introduce statistical dependency into the meta‐analytic data set. In this paper, we provide a tutorial on dealing with effect size multiplicity within studies in the context of meta‐analyses of intervention and association studies, recommending a three‐step approach. The first step is to define the research question and consider the extent to which it mainly reflects interest in mean effect sizes (which we term a convergent approach) or an interest in exploring heterogeneity (which we term a divergent approach). A second step is to identify the types of multiplicities that appear in the initial database of effect sizes relevant to the research question, and we propose a categorization scheme to differentiate them. The third step is to select a strategy for dealing with each type of multiplicity. The researcher can choose between a reductionist meta‐analytic approach, which is characterized by inclusion of a single effect size per study, and an integrative approach, characterized by inclusion of multiple effect sizes per study. We present an overview of available analysis strategies for dealing with effect size multiplicity within studies and provide recommendations intended to help researchers decide which strategy might be preferable in particular situations. Last, we offer caveats and cautions about addressing the challenges multiplicity poses for systematic reviews and meta‐analyses.
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Multiple results compatible with an outcome domain in a study might arise when study investigators report results based on multiple analysis populations, methods for handling missing data, or methods for handling confounding.
“Multiple results compatible with an outcome domain in a study might also arise when study investigators report results based on multiple analysis populations (such as all participants randomised, all participants receiving a specific amount of treatment), methods for handling missing data (such as multiple imputation, last-observation-carried-forward), or methods for handling confounding (such as”
From PRISMA 2020 explanation and elaboration: updated guidance and exemplars for reporting systematic reviews (2021) · cites this paper as [69]
The “Time points” passage (page unavailable) identifies multiple results from intention-to-treat versus completer populations and from unadjusted versus confounder-adjusted analyses. The cited passages do not address multiplicity arising from different methods for handling missing data, such as multiple imputation versus last-observation-carried-forward. (LLM, conf=0.86)
Experimental — accuracy not yet measuredAlthough robust variance estimation was used to address multiplicity and statistical dependencies, this method might raise issues of disproportionate influence from studies that contribute a large number of effect sizes relative to those that contribute fewer, particularly when the overall number of studies and effect sizes is relatively small.
“Although we used robust variance estimation to address multiplicity and statistical dependencies, this method might raise issues of disproportionate influence from studies that contribute a large number of effect sizes relative to those that contribute fewer, and particularly when the overall number of studies and effect sizes is relatively small [71].”
From Parenting interventions to promote early child development in the first three years of life: A global systematic review and meta-analysis (2021) · cites this paper as [71]
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Experimental — accuracy not yet measuredReviewers might seek all results that were compatible with each outcome definition from each study or use a process to select a subset of the results.
“Reviewers might seek all results that were compatible with each outcome definition from each study or use a process to select a subset of the results.65 69”
From PRISMA 2020 explanation and elaboration: updated guidance and exemplars for reporting systematic reviews (2021) · cites this paper as [69]
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- Authors
- López‐López, J. A., Page, M. J., Lipsey, M. W., & Higgins, J. P. T.
- Affiliations
- Department of Population Health Sciences, Bristol Medical School University of Bristol Bristol UK
- University of Bristol (GB)
- Vanderbilt University (US)
- Venue
- Research Synthesis Methods
- Publisher
- Wiley
- Published
- 2018-07-27
- Volume
- 9
- Issue
- 3
- Pages
- 336-351
- ISSN
- 1759-2879 (ISSN-L)
- 1759-2887
- OpenAlex
- W2810076098
- Semantic Scholar
- 9fdae62b538b5bd9d4a8096441d7f025633479cd
- Cited by
- 294
- References
- 55
- Citations by year
- 2026: 42 · 2025: 52 · 2024: 52 · 2023: 51 · 2022: 43 · 2021: 29 · 2020: 13 · 2019: 11 · 2018: 1
- FWCI
- 2.67
- Type
- journal article
- Language
- en
- Open access
- Licence
- Locations
- Research Synthesis Methods (publishedVersion)
- PubMed (publishedVersion)
- Bristol Research (University of Bristol) (submittedVersion, other-oa)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Keywords
- statistical dependence, heterogeneity, research question formulation, intervention research, association studies
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