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A Note on Distributional Properties of the Jöreskog-Sörbom Fit Indices

Published online by Cambridge University Press:  01 January 2025

Sadhan Samar Maiti  and
Bishwa Nath Mukherjee
Sadhan Samar Maiti
Affiliation:
Kalyani Univeristy, Kalyani, Nadia
Bishwa Nath Mukherjee*
Affiliation:
Computer Science Unit, Indian Statistical Institute, Calutta
*
Requests for reprints should be sent to Bishwa Nath Mukherjee, Division of Applied Statistics, Indian Statistical Institute, 203 B.T. Road, Calcutta-700035, INDIA.
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Abstract

In introducing the LISREL model for systems of linear structural equations, Jöreskog and Sörbom proposed two goodness-of-fit indices, GFI and AGFI. Their asymptotic distributions and some statistical properties are discussed.

Keywords

Jöreskog-Sörbom fit indicescentral and noncentral chi-square variablesstructured covariance matrixbiasedness of GFI and AGFIfit index for GLS estimate
Type
Notes And Comments
Information
Psychometrika , Volume 55 , Issue 4 , December 1990 , pp. 721 - 726
Copyright
Copyright © 1990 The Psychometric Society

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Footnotes

The authors would like to acknowledge the helpful comments and suggestions from the Associate Editor and two anonymous reviewers.

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