The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Assessment of Fit in Overidentified Models with Latent Variables
Abstract
In recent years a number of measures have been suggested for the assessment of fit of overidentified models with latent variables (i.e., covariance structure models). This article discusses the logic of the fit problem, reviews the analytical intentions of six of these measures, with emphasis on their dependence on sample size, and compares the operational behavior of these measures in three-model situations: in a confirmatory factor model based on small N, and in two covariance structure models, one based on a slightly larger N and the other based on a large N. Given that these models and data are “typical,” results suggest that certain measures are both more stable across sample sizes and more sensitive to important variation in fit across substantively plausible models. The article concludes by suggesting a three-component approach to fitting: use of multiple measures, strategical overfitting, and comparison of parameter estimates in borderline versus more clearly sufficient models in terms of fit.
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The chi-square/df ratio is just as sensitive to sample size as chi-square.
“However, the chi-square/df ratio is just as sensitive to sample size as chi-square (Brown, 2015; also quoting Wheaton, 1987).”
From Applied Psychometrics: Sample Size and Sample Power Considerations in Factor Analysis (EFA, CFA) and SEM in General (2018) · cites this paper as Wheaton, 1987
Citations
Cites
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The Analysis of Covariance Structures: Goodness-of-Fit Indices
HOELTER, J. W. (1983) · Sociological Methods & Research · doi:10.1177/0049124183011003003 · Cited by 1,624
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Research works printed but not linked: 17
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The Sources of Four Commonly Reported Cutoff Criteria: What Did They Really Say?
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Kyriazos, T. A. (2018) · Psychology · doi:10.4236/psych.2018.98126 · Cited by 1,882
“However, the chi-square/df ratio is just as sensitive to sample size as chi-square (Brown, 2015; also quoting Wheaton, 1987).”
MethodConceptualizing and measuring historical trauma among American Indian people
Whitbeck, L. B., Adams, G. W., Hoyt, D. R., & Chen, X. (2004) · American Journal of Community Psychology · doi:10.1023/b:ajcp.0000027000.77357.31 · Cited by 751
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The Portuguese 35-item survey of pain attitudes applied to Portuguese women with endometriosis
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Metadata
- Authors
- WHEATON, B.
- Affiliations
- McGill University (CA)
- Corresponding author
- WHEATON, BLAIR
- ORCID
- WHEATON, BLAIR
- Venue
- Sociological Methods & Research
- Publisher
- SAGE Publications
- Published
- 1987-08
- Volume
- 16
- Issue
- 1
- Pages
- 118-154
- ISSN
- 0049-1241 (ISSN-L)
- 1552-8294
- OpenAlex
- W2026348057
- Cited by
- 357
- References
- 2
- Citations by year
- 2026: 15 · 2025: 13 · 2024: 12 · 2023: 20 · 2022: 17 · 2021: 15 · 2020: 11 · 2019: 10 · 2018: 13 · 2017: 12 · 2016: 13 · 2015: 10 · 2014: 14 · 2013: 14 · 2012: 7
- FWCI
- 12.08
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Sociological Methods & Research (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- model fit assessment, overidentified models, latent variable models, covariance structure models, sample size effects, confirmatory factor analysis, overfitting, parameter estimates, model comparison
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