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Improved LM test for robust model specification searches in covariance structure analysis

Application in Political Science Research

Bibliographic Data

ID7972586
AuthorsBang Quan Zheng (0000-0003-2614-2501), Peter M Bentler (0000-0002-9440-721X)
Year2025
Pages1-21
Publication date2025-04-24
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePolitical Science Research and Methods (JOURNAL)
Journal identifiersISSN: 2049-8470 • E-ISSN: 2049-8489
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/psrm.2025.27
OpenAlexW4409775218
LanguageEN
References cited29

Covariance structure analysis or structural equation modeling is critical for political scientists measuring latent structural relationships, allowing for the simultaneous assessment of both latent and observed variables, alongside measurement error. Well-specified models are essential for theoretical support, balancing simplicity with optimal model fit. However, current approaches to improving model specification searches remain limited, making it challenging to capture all meaningful parameters and leaving models vulnerable to chance-based specification risks. To address this, we propose an improved Lagrange multiplier (LM) test incorporating stepwise bootstrapping in LM and Wald tests to detect omitted parameters. Monte Carlo simulations and empirical applications underscore its effectiveness, particularly in small samples and models with high degrees of freedom, thereby enhancing statistical fit

Analysis of covariance · Covariance · Econometrics · Political science · Politics · Statistics · Test (biology · Advanced Causal Inference Techniques · Computer Science · Law · Mathematics · Psychometric Methodologies and Testing · Qualitative Comparative Analysis Research · Geology

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