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Factoring the Circumplex

Published online by Cambridge University Press:  01 January 2025

W. A. Gibson
W. A. Gibson*
Affiliation:
Department of Army
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Abstract

This paper presents a way of factoring the Guttman circumplex to get factor weights whose pattern is close to that postulated by Guttman for the circumplex. An empirical example, including a crude procedure for diagonal estimation, is shown. Other sources of nonuniqueness are discussed, and the limitation to odd-numbered complexity for the tests is indicated. An orthodox factor analysis is applied to the example, and this provides a basis for comparison of the two opposing models.

Type
Original Paper
Information
Psychometrika , Volume 28 , Issue 1 , March 1963 , pp. 87 - 92
Copyright
Copyright © 1963 The Psychometric Society

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Footnotes

*

Now At Queens College of the City University of New York.

References

Gibson, W. A. Symmetric factoring. Amer. Psychologist, 1958, 13, 375–375.Google Scholar
Gibson, W. A. Gramian factoring. (Unpublished manuscript.)Google Scholar
Gibson, W. A. The latent structure of the simplex. Amer. Psychologist, 1961, 16, 416–416.Google Scholar
Guttman, L. A new approach to factor analysis: the radex. In Lazarsfeld, P. F. (Eds.), Mathematical thinking in the social sciences. Glencoe, Ill.: Free Press, 1954, 258–348..Google Scholar
Guttman, L. Empirical verification of the radex structure of mental abilities and personality traits. Educ. psychol. Measmt, 1957, 17, 391–407.CrossRefGoogle Scholar
Thurstone, L. L. Factorial studies of intelligence. Psychometric Monogr., No. 2, 1941.Google Scholar
Thurstone, L. L. Multiple-factor analysis, Chicago: Univ. Chicago Press, 1947.Google Scholar