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Robustness Studies in Covariance Structure Modeling

Author

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  • JEFFREY J. HOOGLAND

    (University of Groningen)

  • ANNE BOOMSMA

    (University of Groningen)

Abstract

In covariance structure modeling, several estimation methods are available. The robustness of an estimator against specific violations of assumptions can be determined empirically by means of a Monte Carlo study. Many such studies in covariance structure analysis have been published, but the conclusions frequently seem to contradict each other. An overview of robustness studies in covariance structure analysis is given, and an attempt is made to generalize findings. Robustness studies are described and distinguished from each other systematically by means of certain characteristics. These characteristics serve as explanatory variables in a meta-analysis concerning the behavior of parameter estimators, standard error estimators, and goodness-of-fit statistics when the model is correctly specified.

Suggested Citation

  • Jeffrey J. Hoogland & Anne Boomsma, 1998. "Robustness Studies in Covariance Structure Modeling," Sociological Methods & Research, , vol. 26(3), pages 329-367, February.
  • Handle: RePEc:sae:somere:v:26:y:1998:i:3:p:329-367
    DOI: 10.1177/0049124198026003003
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    References listed on IDEAS

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    1. Kenneth Bollen, 1996. "An alternative two stage least squares (2SLS) estimator for latent variable equations," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 109-121, March.
    2. Jeri Benson & John Fleishman, 1994. "The robustness of maximum likelihood and distribution-free estimators to non-normality in confirmatory factor analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 28(2), pages 117-136, May.
    3. C. Vale & Vincent Maurelli, 1983. "Simulating multivariate nonnormal distributions," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 465-471, September.
    4. P. Bentler & David Weeks, 1980. "Linear structural equations with latent variables," Psychometrika, Springer;The Psychometric Society, vol. 45(3), pages 289-308, September.
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