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RoBMA: Robust Bayesian Meta-Analyses

A framework for Bayesian meta-analysis, including model estimation, prior specification, model comparison, prediction, summaries, visualizations, and diagnostics. The package fits single and model-averaged meta-analytic, meta-regression, multilevel, publication bias adjusted, and generalized linear mixed models The model-averaged meta-analytic models combine competing models based on their predictive performance, weight inference by posterior model probabilities, and test model components using Bayes factors (e.g., effect vs. no effect; Bartoš et al., 2022, <doi:10.1002/jrsm.1594>; Maier, Bartoš & Wagenmakers, 2022, <doi:10.1037/met0000405>; Bartoš et al., 2025, <doi:10.1037/met0000737>). Users can specify flexible prior distributions for effect sizes, heterogeneity, publication bias (including selection models and PET-PEESE), and moderators.

Version: 4.0.0
Depends: R (≥ 4.0.0)
Imports: BayesTools (≥ 0.3.0), bridgesampling, loo, MASS, parallel, runjags, rjags, stats, graphics, mvtnorm, scales, Rdpack, rlang, coda, ggplot2
LinkingTo: mvtnorm
Suggests: metafor, posterior, weightr, lme4, fixest, metaBMA, emmeans, metadat, testthat, vdiffr, knitr, rmarkdown, covr
Published: 2026-05-07
DOI: 10.32614/CRAN.package.RoBMA
Author: František Bartoš ORCID iD [aut, cre], Maximilian Maier ORCID iD [aut], Eric-Jan Wagenmakers ORCID iD [ths], Joris Goosen [ctb], Matthew Denwood [cph] (Original copyright holder of some modified code where indicated.), Martyn Plummer [cph] (Original copyright holder of some modified code where indicated.)
Maintainer: František Bartoš <f.bartos96 at gmail.com>
BugReports: https://github.com/FBartos/RoBMA/issues
License: GPL-3
URL: https://fbartos.github.io/RoBMA/
NeedsCompilation: yes
SystemRequirements: JAGS >= 4.3.1 (https://mcmc-jags.sourceforge.io/)
Citation: RoBMA citation info
Materials: README, NEWS
In views: Bayesian, MetaAnalysis
CRAN checks: RoBMA results

Documentation:

Reference manual: RoBMA.html , RoBMA.pdf
Vignettes: Introduction to RoBMA (source, R code)
Prior Distributions (source, R code)
Bayesian Meta-Analysis (source, R code)
Feature Coverage (source, R code)
Multilevel Meta-Analysis (source, R code)
Publication-Bias Adjustment (source, R code)
Location-Scale Meta-Analysis (source, R code)
Generalized Linear Mixed-Effects Meta-Analysis (source, R code)
Bayesian Model Averaging (source, R code)
Robust Bayesian Meta-Analysis (source, R code)
Tutorial: Adjusting for Publication Bias in JASP and R - Selection Models, PET-PEESE, and Robust Bayesian Meta-Analysis (source, R code)
Robust Bayesian Model-Averaged Meta-Regression (source, R code)
Multilevel Robust Bayesian Meta-Analysis (source, R code)
Multilevel Robust Bayesian Model-Averaged Meta-Regression (source, R code)
Informed Bayesian Model-Averaged Meta-Analysis in Medicine (source, R code)
Informed Bayesian Model-Averaged Meta-Analysis with Binary Outcomes (source, R code)
Zplot Publication-Bias Diagnostics (source, R code)

Downloads:

Package source: RoBMA_4.0.0.tar.gz
Windows binaries: r-devel: RoBMA_4.0.0.zip, r-release: RoBMA_4.0.0.zip, r-oldrel: RoBMA_4.0.0.zip
macOS binaries: r-release (arm64): RoBMA_3.6.1.tgz, r-oldrel (arm64): RoBMA_4.0.0.tgz, r-release (x86_64): RoBMA_4.0.0.tgz, r-oldrel (x86_64): RoBMA_4.0.0.tgz
Old sources: RoBMA archive

Reverse dependencies:

Reverse suggests: BayesTools, PublicationBiasBenchmark

Linking:

Please use the canonical form https://CRAN.R-project.org/package=RoBMA to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.