On specifying the null model for incremental fit indices in structural equation modeling.
- 1 January 2003
- journal article
- research article
- Published by American Psychological Association (APA) in Psychological Methods
- Vol. 8 (1), 16-37
- https://doi.org/10.1037/1082-989x.8.1.16
Abstract
In structural equation modeling, incremental fit indices are based on the comparison of the fit of a substantive model to that of a null model. The standard null model yields unconstrained estimates of the variance (and mean, if included) of each manifest variable. For many models, however, the standard null model is an improper comparison model. In these cases, incremental fit index values reported automatically by structural modeling software have no interpretation and should be disregarded. The authors explain how to formulate an acceptable, modified null model, predict changes in fit index values accompanying its use, provide examples illustrating effects on fit index values when using such a model, and discuss implications for theory and practice of structural equation modeling.This publication has 24 references indexed in Scilit:
- Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternativesStructural Equation Modeling: A Multidisciplinary Journal, 1999
- The equal correlation baseline model: A reply to marshStructural Equation Modeling: A Multidisciplinary Journal, 1998
- The equal correlation baseline model: Comment and constructive alternativesStructural Equation Modeling: A Multidisciplinary Journal, 1998
- The equal correlation baseline model for comparative fit assessment in structural equation modelingStructural Equation Modeling: A Multidisciplinary Journal, 1998
- Model selection in covariance structures analysis and the "problem" of sample size: A clarification.Psychological Bulletin, 1991
- An index of goodness-of-fit based on noncentralityJournal of Classification, 1989
- A New Incremental Fit Index for General Structural Equation ModelsSociological Methods & Research, 1989
- Goodness-of-fit indexes in confirmatory factor analysis: The effect of sample size.Psychological Bulletin, 1988
- The EditorTechnometricsTechnometrics, 1980
- Testing Compound Symmetry in a Normal Multivariate DistributionThe Annals of Mathematical Statistics, 1948