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Bias-Reduced Estimation of Structural Equation Models

Bibliographic Data

ID21641837
AuthorsHaziq Jamil (0000-0003-3298-1010, King Abdullah University of Science and Technology, corresponding author), Yves Rosseel (0000-0002-4129-4477, Ghent University), Oliver Kemp (University of Warwick), Ioannis Kosmidis (0000-0002-1123-7420, University of Warwick)
Year2026
Volume33
Issue3
Pages376-392
Publication date2026-05-04
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2025.2610462
OpenAlexW7126121484
LanguageEN
References cited51

Finite-sample bias is a pervasive challenge in the estimation of structural equation models (SEMs), especially when sample sizes are small or measurement reliability is low. A range of methods have been proposed to improve finite-sample bias in the SEM literature, ranging from analytic bias corrections to resampling-based techniques, with each carrying tradeoffs in scope, computational burden, and statistical performance. We introduce the reduced-bias M-estimation framework (RBM, Kosmidis & Lunardon) to SEMs. The RBM framework is attractive as it requires only first- and second-order derivatives of the log-likelihood, which renders it both straightforward to implement, and computationally more efficient compared to resampling-based alternatives such as bootstrap and jackknife. It is also robust to departures from modeling assumptions. Using the same simulation setup as in Dhaene and Rosseel, we illustrate that RBM estimators consistently reduce mean bias in the estimation of SEMs without inflating mean squared error. They also deliver improvements in both median bias and inference relative to maximum likelihood estimators, while maintaining robustness under non-normality. Our findings suggest that RBM offers a promising, practical, and broadly applicable tool for mitigating bias in the estimation of SEMs, particularly in small-sample research contexts

Estimation · Estimation theory · Structural equation modeling · Psychometric Methodologies and Testing · Statistical Methods and Bayesian Inference · Statistical Methods and Inference

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