Enhancing Model Fit Evaluation in SEM: Practical Tips for Optimizing Chi-Square Tests

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Bibliographic Details
Title: Enhancing Model Fit Evaluation in SEM: Practical Tips for Optimizing Chi-Square Tests
Language: English
Authors: Bang Quan Zheng (ORCID 0000-0003-2614-2501), Peter M. Bentler (ORCID 0000-0002-9440-721X)
Source: Structural Equation Modeling: A Multidisciplinary Journal. 2025 32(1):136-141.
Availability: Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 6
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Descriptors: Monte Carlo Methods, Structural Equation Models, Goodness of Fit, Robustness (Statistics), Evaluation Methods, Social Science Research, Behavioral Science Research, Error of Measurement, Test Reliability
DOI: 10.1080/10705511.2024.2354802
ISSN: 1070-5511
1532-8007
Abstract: This paper aims to advocate for a balanced approach to model fit evaluation in structural equation modeling (SEM). The ongoing debate surrounding chi-square test statistics and fit indices has been characterized by ambiguity and controversy. Despite the acknowledged limitations of relying solely on the chi-square test, its careful application can enhance its effectiveness in evaluating model fit and specification. To illustrate this point, we present three common scenarios relevant to social and behavioral science research using Monte Carlo simulations, where fit indices may inadequately address concerns regarding goodness-of-fit, while the chi-square statistic can offer valuable insights. Our recommendation is to report both the chi-square test and fit indices, prioritizing precise model specification to ensure the reliability of model fit indicators.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1457158
Database: ERIC
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Description
Abstract:This paper aims to advocate for a balanced approach to model fit evaluation in structural equation modeling (SEM). The ongoing debate surrounding chi-square test statistics and fit indices has been characterized by ambiguity and controversy. Despite the acknowledged limitations of relying solely on the chi-square test, its careful application can enhance its effectiveness in evaluating model fit and specification. To illustrate this point, we present three common scenarios relevant to social and behavioral science research using Monte Carlo simulations, where fit indices may inadequately address concerns regarding goodness-of-fit, while the chi-square statistic can offer valuable insights. Our recommendation is to report both the chi-square test and fit indices, prioritizing precise model specification to ensure the reliability of model fit indicators.
ISSN:1070-5511
1532-8007
DOI:10.1080/10705511.2024.2354802