Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Parameter Specification in Bayesian CFA

An Exploration of Multivariate and Separation Strategy Priors

Bibliographic Data

ID21641709
AuthorsSarah Depaoli (0000-0002-1277-0462, University of California, corresponding author), Haiyan Liu (0000-0002-3812-7520, University of California), Lydia Marvin (University of California)
Year2021
Volume28
Issue5
Pages699-715
Publication date2021-09-03
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2021.1894154
OpenAlexW3145893390
LanguageEN
Citations received7
References cited34

The impact of parameter and prior specifications on Bayesian SEM estimates is examined through two simulation studies. The model of focus was a CFA. Simulation conditions for Study 1 included varying sample size, the strength of the factor loadings (also tied to issues of reliability), factor correlation strength, and estimation conditions tied to different parameter specifications. Study 2 extended these factors and included non-zero cross-loadings to highlight the flexibility that Bayesian methods afford CFAs. The main goal of these studies was to examine the impact of different parameter specifications, as crossed with different forms of prior distributions, on the accuracy of parameter estimates–examined via relative bias. We examined several parameter specification conditions focused on the latent factor covariance specification, and then crossed these conditions with different prior forms (multivariate and separation strategy priors). Findings highlight where parameter specification implemented had an overall larger impact on the accuracy of results obtained

Bayesian probability · Covariance · Econometrics · Estimation theory · Factor analysis · Multivariate statistics · Prior probability · Shape parameter · Specification · Statistics · Advanced Statistical Modeling Techniques · Computer Science · Mathematics · Statistical Methods and Bayesian Inference · Statistical Methods and Inference

  • Modular item response and structural equation modelling via measurement and uncertainty preserving parametric modelling

    Open Access•Roy Levy•British Journal of Mathematical…•2026

  • How Does Prior Distribution Affect Model Fit Indices of Bayesian Structural Equation Model

    Open Access•Yonglin Feng, Junhao Pan•Fudan Journal of the Humanities…•2025

  • Impact of Informative Priors on Model Fit Indices in Bayesian Confirmatory Factor Analysis

    Kelly D Edwards, Timothy R Konold•Structural Equation Modeling: A…•2023

  • Classical and Bayesian Uncertainty Intervals for the Reliability of Multidimensional Scales

    Open Access•Julius M Pfadt, Don Van Den Bergh et al.•Structural Equation Modeling: A…•2023

  • On the Requirements of Non-linear Dynamic Latent Class SEM

    Vivato Andriamiarana, Pascal Kilian et al.•Structural Equation Modeling: A…•2023

  • Understanding the Deviance Information Criterion for SEM

    Haiyan Liu, Sarah Depaoli et al.•Structural Equation Modeling: A…•2022

  • A Bayesian Approach to Estimating Reciprocal Effects with the Bivariate STARTS Model

    Open Access•Oliver Lüdtke, Alexander Robitzsch et al.•Multivariate Behavioral Research•2023

  • Structural Equation Modeling

    Open Access•Sik-Yum Lee, Sik‐yum Lee•Structural Equation Modeling•2007

  • The Transition to High School as a Developmental Process Among Multiethnic Urban Youth

    Open Access•Aprile D Benner, Sandra Graham•Child Development•2009

  • Confirmatory Factor Analysis of Ordinal Variables With Misspecified Models

    Fan Yang-Wallentin, Fan Yang‐Wallentin et al.•Structural Equation Modeling: A…•2010

  • On Using Bayesian Methods to Address Small Sample Problems

    Daniel McNeish•Structural Equation Modeling: A…•2016

  • A systematic review of Bayesian articles in psychology

    Open Access•Rens Van De Schoot, Sonja D Winter et al.•Psychological Methods•2017

  • Facing off with Scylla and Charybdis

    Open Access•Rens Van De Schoot, Anouck Kluytmans et al.•Frontiers in Psychology•2013

  • Improving transparency and replication in Bayesian statistics

    Sarah Depaoli, Rens Van De Schoot•Psychological Methods•2017

  • Bayesian structural equation modeling

    Bengt Muthén, Tihomir Asparouhov•Psychological Methods•2012

  • Blavaan

    Open Access•Edgar C Merkle, Yves Rosseel•Journal of Statistical Software•2018

  • Structural Equations with Latent Variables

    Open Access•K A Bollen•Structural Equations with Latent…•1989

  • A Comparison of Inverse-Wishart Prior Specifications for Covariance Matrices in Multilevel Autoregressive Models

    Open Access•Noémi Katalin Schuurman, Raoul P P P Grasman et al.•Multivariate Behavioral Research•2016

  • Observations on the Use of Growth Mixture Models in Psychological Research

    Daniel J Bauer•Multivariate Behavioral Research•2007

  • Iteration of Partially Specified Target Matrices

    Tyler M Moore, Steven P Reise et al.•Multivariate Behavioral Research•2015

  • Single and Multiple Ability Estimation in the SEM Framework

    Su‐Young Kim, Su-Young Kim et al.•Multivariate Behavioral Research•2013

  • Methodological Advances in the Analysis of Individual Growth With Relevance to Education Policy

    David Kaplan•Peabody Journal of Education•2002

  • Principles and Practice of Structural Equation Modeling

    Open Access•Nassim Tabri, Craig M Elliott•Canadian Graduate Journal of…•2012

Unique citing works7
Citations per year1,75
Citation span2022 - 2026 (5)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 7

Tools

Open DOI
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae