Opaque Prior Distributions in Bayesian Latent Variable Models

Abstract: We review common situations in Bayesian latent variable models where the prior distribution that a researcher specifies differs from the prior distribution used during estimation. These situations can arise from the positive definite requirement on correlation matrices, from sign indeterminacy of factor loadings, and from order constraints on threshold parameters. The issue is especially problematic for reproducibility and for model checks that involve prior distributions, including prior predictive assessment and Bayes factors. In these cases, one might be assessing the wrong model, casting doubt on the relevance of the results. The most straightforward solution to the issue sometimes involves use of informative prior distributions. We explore other solutions and make recommendations for practice. https://meth.psychopen.eu/index.php/meth/article/view/11167

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Opaque Prior Distributions in Bayesian Latent Variable Models ; volume:19 ; number:3 ; day:29 ; month:09 ; year:2023
Methodology ; 19, Heft 3 (29.09.2023)

Creator
Merkle, Edgar C.
Ariyo, Oludare
Winter, Sonja D.
Garnier-Villarreal, Mauricio

DOI
10.5964/meth.11167
URN
urn:nbn:de:101:1-2023093005100431656935
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:53 AM CEST

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Associated

  • Merkle, Edgar C.
  • Ariyo, Oludare
  • Winter, Sonja D.
  • Garnier-Villarreal, Mauricio

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