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Biometrika 1985 72(1):125-131; doi:10.1093/biomet/72.1.125
© 1985 by Biometrika Trust
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On testing functional constraints in structural equation models

SIK-YUM LEE

Department of Statistics, The Chinese University of Hong Kong Shatin, N.T., Hong Kong

In the context of a robust generalized least squares approach, a new statistic for testing the validity of constraints in structural equation models is proposed. It is shown that the new test requires significantly less computational effort than the traditional one. Extension to models in several populations is also considered. Illustrative applications based on real data are given.

Key Words: Chi-squared distribution • Convergence in probability • Covariance structure • Generalized least squares


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