Adjusting for Publication Bias in Meta-Analysis: An Evaluation of Selection Methods and Some Cautionary Notes
Open accessAbstract
We review and evaluate selection methods, a prominent class of techniques first proposed by Hedges (1984) that assess and adjust for publication bias in meta-analysis, via an extensive simulation study. Our simulation covers both restrictive settings as well as more realistic settings and proceeds across multiple metrics that assess different aspects of model performance. This evaluation is timely in light of two recently proposed approaches, the so-called p-curve and p-uniform approaches, that can be viewed as alternative implementations of the original Hedges selection method approach. We find that the p-curve and p-uniform approaches perform reasonably well but not as well as the original Hedges approach in the restrictive setting for which all three were designed. We also find they perform poorly in more realistic settings, whereas variants of the Hedges approach perform well. We conclude by urging caution in the application of selection methods: Given the idealistic model assumptions underlying selection methods and the sensitivity of population average effect size estimates to them, we advocate that selection methods should be used less for obtaining a single estimate that purports to adjust for publication bias ex post and more for sensitivity analysis—that is, exploring the range of estimates that result from assuming different forms of and severity of publication bias.
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The relative probabilities estimated by selection method analyses also suggest a general lack of publication bias.
“Consistent with those findings, the relative probabilities estimated by selection method analyses (e.g., McShane et al., 2016) also suggest a general lack of publication bias.”
From Examining domains of psychological flexibility and inflexibility as treatment mechanisms in acceptance and commitment therapy: A comprehensive systematic and meta-analytic review (2024) · cites this paper as McShane et al., 2016
The Early selection methods section explains how selection methods estimate relative publication likelihoods. But the Modeling Considerations section says statistically significant results are overrepresented in the published literature, contrary to the claimed general lack of publication bias. The paper does not report relative-probability estimates supporting that conclusion. (LLM, conf=0.84)
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measuredThe p-curve estimate of average study power may be an overestimate because heterogeneity in effect sizes can cause the p-curve to overestimate mean power.
“On the other hand, this could also be an overestimate of average study power, as heterogeneity in effect sizes can cause the p-curve to overestimate mean power (Brunner & Schimmack, 2020; McShane et al., 2016).”
From Do Salient Social Norms Moderate Mortality Salience Effects? A (Challenging) Meta-Analysis of Terror Management Studies (2023) · cites this paper as McShane et al., 2016
The Modeling Considerations and Summary sections say that heterogeneity can make p-curve estimates upwardly biased. They identify the biased quantity as the population average effect size, however, not average study power; the copy does not establish that p-curve overestimates mean power. (LLM, conf=0.86)
Experimental — accuracy not yet measuredSelection method analyses were run for each meta-analytic effect using R functions developed and validated by McShane et al. (2016).
“we ran selection method analyses for each meta-analytic effect using R functions developed and validated by McShane et al. (2016).”
From Examining domains of psychological flexibility and inflexibility as treatment mechanisms in acceptance and commitment therapy: A comprehensive systematic and meta-analytic review (2024) · cites this paper as McShane et al., 2016
In the Method p-Curve p-Uniform Selection section (page unavailable), the authors say they provide their code and a simple example in the Supplemental Material. The paper evaluates selection methods through simulations, but our copy does not establish that McShane et al. developed and validated the particular R functions used by the citing authors; it identifies the R package “weightr” as Coburn and Vevea’s implementation. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThe credibility of cumulative or meta-analytic results is contingent on a lack of selective reporting or on the ability to effectively correct for missing evidence.
“However, the credibility of such results is contingent on a lack of selective reporting or on the ability to effectively correct for missing evidence (McShane et al., 2016; Stanley and Doucouliagos, 2014).”
From Investigating the replicability of preclinical cancer biology (2021) · cites this paper as McShane et al., 2016
Cumulative or meta-analytic evidence from multiple independently conducted experiments provides a better basis for assessing reliability of findings than evidence from a single experiment.
“In general, cumulative or meta-analytic evidence obtained from multiple independently conducted experiments provides a better basis for assessing the reliability of findings than evidence from a single experiment.”
From Investigating the replicability of preclinical cancer biology (2021) · cites this paper as McShane et al., 2016
p-uniform does not model heterogeneity, and this can lead it to overestimate the average effect size of all studies.
“p-uniform does not model heterogeneity, and this can lead it to overestimate the average effect size of all studies (McShane et al., 2016).”
From Do Salient Social Norms Moderate Mortality Salience Effects? A (Challenging) Meta-Analysis of Terror Management Studies (2023) · cites this paper as McShane et al., 2016
Bias adjustments can improve performance relative to a meta-analysis that does not adjust for publication bias.
“Bias adjustments can improve performance relative to a meta-analysis that does not adjust for publication bias (Carter et al., 2019; McShane et al., 2016; Moreno et al., 2009; Simonsohn et al., 2014).”
From Do Salient Social Norms Moderate Mortality Salience Effects? A (Challenging) Meta-Analysis of Terror Management Studies (2023) · cites this paper as McShane et al., 2016
Several statistical methods have been proposed to evaluate how robust meta-analyses are to assumptions about the amount and type of missing results, including trim-and-fill, selection models, and regression-based adjustment methods.
“Statisticians have proposed several statistical approaches to assess how robust meta-analyses are to various assumptions about the extent and nature of missing results, including trim-andfill 67 , selection models 68 , and regression-based adjustment methods 69 .”
From Investigating and dealing with publication bias and other reporting biases in meta-analyses of health research: a review (2021) · cites this paper as [69]
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Hemispheric asymmetries in the amygdala: A comparative primer
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Detecting publication selection bias through excess statistical significance
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A comprehensive meta-analysis of money priming.
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“Statistical Significance” and Statistical Reporting: Moving Beyond Binary
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Estimating Population Mean Power Under Conditions of Heterogeneity and Selection for Significance
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Psychological Effects of Meditation for Healthy Practitioners: An Update
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The sleep benefit in episodic memory: An integrative review and a meta-analysis.
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Self-Reported Trait Mindfulness and Couples’ Relationship Satisfaction: a Meta-Analysis
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Examining the Efficacy of Time Scarcity Marketing Promotions in Online Retail
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Cognitive Behavior Therapy for Mental Disorders in Adults
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- Authors
- McShane, B. B., Böckenholt, U., & Hansen, K. T.
- Affiliations
- Northwestern University (US)
- University of California San Diego (US)
- Corresponding author
- McShane, Blakeley B.
- Venue
- Perspectives on Psychological Science
- Publisher
- SAGE Publications
- Published
- 2016-09
- Volume
- 11
- Issue
- 5
- Pages
- 730-749
- ISSN
- 1745-6916 (ISSN-L)
- 1745-6924
- OpenAlex
- W2524737933
- Cited by
- 398
- References
- 49
- Citations by year
- 2026: 30 · 2025: 43 · 2024: 43 · 2023: 46 · 2022: 50 · 2021: 46 · 2020: 44 · 2019: 50 · 2018: 23 · 2017: 21 · 2016: 2
- FWCI
- 29.71
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Perspectives on Psychological Science (publishedVersion)
- PubMed (publishedVersion)
- 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 › scientometrics and bibliometrics research
- Keywords
- publication bias, selection methods, p-curve, meta-analysis, sensitivity analysis, effect size estimation, simulation study
- MeSH terms
- Computer Simulation, Data Interpretation, Statistical, Humans, Meta-Analysis as Topic, Models, Statistical, Publication Bias
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