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A Second Generation Nonlinear Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Jamshid Etezadi-Amoli  and
Roderick P. McDonald
Jamshid Etezadi-Amoli
Affiliation:
The Ontario Institute for Studies in Education
Roderick P. McDonald*
Affiliation:
Macquarie University
*
Requests for reprints should be addressed to Roderick P. McDonald, School of Education, Macquarie University, North Ryde, N.S.W. 2113, Australia.
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Abstract

Nonlinear common factor models with polynomial regression functions, including interaction terms, are fitted by simultaneously estimating the factor loadings and common factor scores, using maximum-likelihood-ratio and ordinary-least-squares methods. A Monte Carlo study gives support to a conjecture about the form of the distribution of the likelihood-ratio criterion.

Keywords

nonlinear factor analysispolynomial regressionsmaximum-likelihood-ratio estimatorsdimensions of aphasia

Information

Type
Original Paper
Information
Psychometrika , Volume 48 , Issue 3 , September 1983 , pp. 315 - 342
Copyright
Copyright © 1983 The Psychometric Society

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Footnotes

The research reported in this paper was partly supported by Natural Sciences and Engineering Research Grant No. A6346.

References

Reference Notes

McDonald, R. P. PROTEAN—a comprehensive CD3200/3600 program for non-linear factor analysis, Princeton: Educational Testing Service, 1967.Google Scholar
Etezadi-Amoli, J. Nonlinear factor analysis using spline functions. Unpublished M.A. thesis, University of Toronto, 1978.Google Scholar

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