blavaan : Bayesian Structural Equation Models via Parameter Expansion
Open accessAbstract
This article describes blavaan, an R package for estimating Bayesian structural equation models (SEMs) via JAGS and for summarizing the results. It also describes a novel parameter expansion approach for estimating specific types of models with residual covariances, which facilitates estimation of these models in JAGS. The methodology and software are intended to provide users with a general means of estimating Bayesian SEMs, both classical and novel, in a straightforward fashion. Users can estimate Bayesian versions of classical SEMs with lavaan syntax, they can obtain state-of-the-art Bayesian fit measures associated with the models, and they can export JAGS code to modify the SEMs as desired. These features and more are illustrated by example, and the parameter expansion approach is explained in detail.
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Missing data were addressed using the default full information procedure in blavaan.
“Missing data were addressed by utilizing the default full information procedure implemented in blavaan (Merkle & Rosseel, Citation2018).”
From How do care-related beliefs contribute to depression and anxiety in family caregivers of people with dementia? Testing a cognitive vulnerability-stress model. (2025) · cites this paper as Merkle & Rosseel, 2018
The Posterior predictive checks section discusses difficulties calculating a fit statistic when data are missing, but does not describe a default full-information procedure for handling missing data in model estimation. Searches for “full information maximum likelihood,” “FIML,” and missing-observation handling found no passage establishing the claimed default. (LLM, conf=0.72)
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Drop-the-p: Bayesian CFA of the Multidimensional Scale of Perceived Social Support in Australia
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Fitting Structural Equation Models via Variational Approximations
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- Authors
- Merkle, E. C., & Rosseel, Y.
- Affiliations
- University of Missouri (US)
- Ghent University (BE)
- ORCID
- Rosseel, Yves
- Venue
- Journal of Statistical Software
- Publisher
- Foundation for Open Access Statistic
- Published
- 2018
- Volume
- 85
- Issue
- 4
- ISSN
- 1548-7660 (ISSN-L)
- OpenAlex
- W2177847511
- Cited by
- 360
- References
- 47
- Citations by year
- 2026: 59 · 2025: 44 · 2024: 25 · 2023: 34 · 2022: 41 · 2021: 53 · 2020: 49 · 2019: 31 · 2018: 14 · 2017: 9 · 2016: 1
- FWCI
- 30.50
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Journal of Statistical Software (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1061334, 1460719)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Computer Science › Artificial Intelligence › Data Analysis with R
- Keywords
- Bayesian structural equation models, parameter expansion, residual covariance, JAGS, R package, model estimation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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