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Some Extensions of Image Analysis

Published online by Cambridge University Press:  01 January 2025

P. M. Bentler*
Affiliation:
University of California, Los Angeles

Abstract

A general model for describing the interrelations of common scores is derived. Guttman’s image analysis is a special case. In addition, a new factor model based upon estimation of the person product-moment matrix is described for the case in which the number of variables exceeds the number of persons.

Type
Original Paper
Copyright
Copyright © 1969 The Psychometric Society

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References

Greville, T. N. E. The pseudo inverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. SIAM Review, 1959, 1, 3843CrossRefGoogle Scholar
Greville, T. N. E. Some applications of the pseudo inverse of a matrix. SIAM Review, 1960, 2, 1522CrossRefGoogle Scholar
Guttman, L. Image theory for the structure of quantitative variates. Psychometrika, 1953, 18, 277296CrossRefGoogle Scholar
Harris, C. W. Some Rao-Guttman relationships. Psychometrika, 1962, 27, 247263CrossRefGoogle Scholar
Horst, P. Matrix algebra for social scientists, 1963, New York: Holt, Rinehart, and WinstonGoogle Scholar
Horst, P. Factor analysis of data matrices, 1965, New York: Holt, Rinehart, and WinstonGoogle Scholar
Penrose, R. A generalized inverse for matrices. Proceedings of the Cambridge Philosophical Society, 1955, 51, 406413CrossRefGoogle Scholar
Rado, R. Note on generalized inverses of matrices. Proceedings of the Cambridge Philosophical Society, 1956, 52, 600601CrossRefGoogle Scholar