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Resolution of the Heywood Case in the Minres Solution

Published online by Cambridge University Press:  01 January 2025

Harry H. Harman  and
Yoichiro Fukuda
Harry H. Harman
Affiliation:
Educational Testing Service
Yoichiro Fukuda
Affiliation:
Planning Research Corporation
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Abstract

In the course of developing the minres method of factor analysis the troublesome situation of communalities greater than one arose. This problem—referred to as the generalized Heywood case—is resolved in this paper by means of a process of minimizing the sum of squares of off-diagonal residuals. The resulting solution is superior to the otherwise very efficient original minres method without requiring additional computing time.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 4 , December 1966 , pp. 563 - 571
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

Both authors were with the System Development Corporation when this work was done.

References

Harman, H. H. Modern factor analysis, Chicago, Ill.: Univ. Chicago Press, 1960.Google Scholar
Harman, H. H., and 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. Proc. roy. Soc. London, 1931, 134, 486–501.Google Scholar