Evidence map›Paper›PMID 42120801›Full record

ArticleBehavior research methods2026

Robust Bayesian multilevel meta-analysis: Adjusting for publication bias in the presence of dependent effect sizes.

František Bartoš, Maximilian Maier, Eric-Jan Wagenmakers

Abstract read
In one paragraph

Article in Behavior research methods, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
3citing papers in PubMed, 1 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

3 citing papers in PubMed, 1 synthesis or guideline pooled it.

  1. Pooled it
  2. Article
  3. Review
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

František BartošDepartment of Psychological Methods, University of Amsterdam, Amsterdam, Netherlands. f.bartos96@gmail.com.ORCID http://orcid.org/0000-0002-0018-5573
Maximilian MaierDepartment of Experimental Psychology, University College London, London, England.ORCID http://orcid.org/0000-0002-9873-6096
Eric-Jan WagenmakersDepartment of Psychological Methods, University of Amsterdam, Amsterdam, Netherlands.ORCID http://orcid.org/0000-0003-1596-1034

Funding

Nederlandse Organisatie voor Wetenschappelijk Onderzoek 016.Vici.170.083
6 · The paper itself

Abstract

Meta-analyses often include multiple dependent effect sizes, yet current methods typically neglect the resulting within-study dependencies or fail to address model uncertainty and publication bias adequately. We extend robust Bayesian meta-analysis (RoBMA) to a multilevel framework, simultaneously handling within-study dependencies, model uncertainty, heterogeneity, moderators, and publication bias. Specifically, the three-level RoBMA integrates approximate Bayesian selection models with PET-PEESE adjustments within a hierarchical Bayesian setting. We illustrate the methodology through empirical examples and demonstrate its performance via simulations. The approach is implemented in the RoBMA R package and JASP.

Indexed as

Meta-Analysis as TopicMultilevel AnalysisPublication BiasBayes TheoremComputer SimulationHumansBayes factorBayesian model averagingEvidenceKnowledge updatingMeta-analysis

Identifiers

PMID42120801
PMCPMC13167900

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.