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Regularized Variational Approximation for Partially Confirmatory Factor Analysis

Bibliographic Data

ID21641918
AuthorsYi Jin (0000-0002-4936-3596, University of Hong Kong), Jinsong Chen (0000-0002-0157-5469, University of Hong Kong, corresponding author)
Year2025
Volume32
Issue3
Pages437-449
Publication date2025-05-04
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)
DOI10.1080/10705511.2024.2432612
OpenAlexW4405519880
LanguageEN
References cited25

The recently developed partially confirmatory factor analysis (PCFA) framework offers a promising solution that effectively accommodates varying levels of available knowledge, blending the strengths of both data- and theory-driven approaches. Nevertheless, its reliance on Markov Chain Monte Carlo (MCMC) techniques for parameter estimation often comes with challenges due to its computationally intensive nature and issues related to convergence. To address that, this study introduces a novel and compelling alternative - the regularized variational approximation approach within the PCFA framework (PCFA-VA). The proposed method integrates regularization techniques and converts the classical Bayesian inference problem into an optimization problem by approximating the posterior distribution with a predefined family of distributions and employing Kullback–Leibler (KL) divergence to quantify such differences. In this sense, PCFA-VA avoids the complex integration problem required to obtain the exact posterior distribution and results in substantial computational savings. Based on the simulated and real data analysis, PCFA-VA has demonstrated the potential to achieve considerable accuracy while maintaining computational efficiency, making it scalable for large-scale problems

Confirmatory factor analysis · Statistics · Structural equation modeling · Advanced Multi-Objective Optimization Algorithms · Computer Science · Face and Expression Recognition · Mathematics · Statistical Methods and Inference · Applied Mathematics

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