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Approximations to the Distributions of Fit Indexes for Misspecified Structural Equation Models.
Peer reviewed Peer reviewed
Ogasawara, Haruhiko – Structural Equation Modeling, 2001
Derives approximations to the distributions of goodness-of-fit indexes in structural equation modeling with the assumption of multivariate normality and slight misspecification of models. Also derives an approximation to the asymptotic covariance matrix for the fit indexes by using the delta method and develops approximations to the densities of…
Descriptors: Goodness of Fit, Statistical Distributions, Structural Equation Models
Performance of Modified Test Statistics in Covariance and Correlation Structure Analysis under Conditions of Multivariate Nonnormality.
Peer reviewed Peer reviewed
Fouladi, Rachel T. – Structural Equation Modeling, 2000
Provides an overview of standard and modified normal theory and asymptotically distribution-free covariance and correlation structure analysis techniques and details Monte Carlo simulation results on Type I and Type II error control. Demonstrates through the simulation that robustness and nonrobustness of structure analysis techniques vary as a…
Descriptors: Analysis of Covariance, Correlation, Monte Carlo Methods, Multivariate Analysis
An Evaluation of the Satorra-Bentler Distributional Misspecification Correction Applied to the McDonald Fit Index.
Peer reviewed Peer reviewed
Anderson, Ronald D. – Structural Equation Modeling, 1996
Goodness of fit indexes developed by R. P. McDonald (1989) and Satorra-Bentler scale correction methods (A. Satorra and P. M. Bentler, 1988) were studied. The Satorra-Bentler index is shown to have the least error under each distributional misspecification level when the model has correct structural specification. (SLD)
Descriptors: Error of Measurement, Estimation (Mathematics), Goodness of Fit, Maximum Likelihood Statistics