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Simultaneous Factor Analysis of Several Gramian Matrices

Published online by Cambridge University Press:  01 January 2025

Joseph Levin
Joseph Levin*
Affiliation:
Szold Institute, Jerusalem, Israel
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Abstract

Given several Gramian matrices, a least-square fit to all the matrices by one factor matrix, with a predetermined number of factors, is shown to be the principal axes solution of the average of the matrices.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 3 , September 1966 , pp. 413 - 419
Copyright
Copyright © 1966 Psychometric Society

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References

Abelson, R. P. Scales derived by considerations of variance components in multi-way tables. In Gulliksen, H. and Messick, S. J. (Eds.), Psychological scaling: theory and applications. New York: Wiley, 1960, 169–186.Google Scholar
Ahmavaara, Y. The mathematical theory of factorial invariance under selection. Psychometrika, 1954, 19, 27–38.Google Scholar
Cattell, R. B. “Parallel proportional profiles” and other principles for determining the choice of factors by rotation. Psychometrika, 1944, 9, 267–283.CrossRefGoogle Scholar
Guilford, J. P. Fundamental statistics in psychology and education, New York: McGraw-Hill, 1956.Google Scholar
Meredith, W. Notes on factorial invariance. Psychometrika, 1964, 2, 177–185Google Scholar
Tucker, L. R. The extension of factor analysis to three-dimensional matrices. In Frederiksen, N. and Gulliksen, H. (Eds.), Contributions to mathematical psychology. New York: Holt, Rinehart and Winston, 1964, 110–127.Google Scholar