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An Improvement of the Harman-Fukuda-Method for the Minres Solution in Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Robert Hafner
Robert Hafner*
Affiliation:
Johannes-Kepler-University
*
Requests for reprints should be sent to Prof. Dr. Robert Hafner, Johannes-Kepler-Universität Linz, Institut für Angewandte Statistik, A-4045 Linz/Auhof.
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Abstract

The method proposed by Harman and Fukuda to treat the so-called Heywood case in the minres method in factor analysis i.e., the case where the resulting communalities are greater than one, involves the frequent solution of eigenvalue problems. A simple method to treat this problem requiring less computing time and enjoying higher numerical stability is described in this paper.

Keywords

Heywood caseminres method
Type
Notes And Comments
Information
Psychometrika , Volume 46 , Issue 3 , September 1981 , pp. 347 - 349
Copyright
Copyright © 1981 The Psychometric Society

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References

Reference Note

Browne, M. Gauss-Seidel computing procedures for a family of factor analytic solutions, 1968, Princeton, N.J.: Educational Testing Service.CrossRefGoogle Scholar

References

Harman, H. H. Modern factor analysis, 1967, Chicago: University of Chicago Press.Google Scholar
Harman, H. H. & Jones, W. H. Factor analysis by minimizing residuals (minres). Psychometrika, 1966, 31, 351–368.CrossRefGoogle ScholarPubMed
Heywood, H. B. On finite sequences of real numbers. Proceedings of the Royal Society of London, 1931, 134, 486–501.Google Scholar
Harman, H. H. & Fukuda, Y. Resolution of the Heywood case in the minres solution. Psychometrika, 1966, 31, 563–571.CrossRefGoogle Scholar