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A Simple Orthogonal Multiple Factor Approximation Procedure

Published online by Cambridge University Press:  01 January 2025

Hilding B. Carlson
Hilding B. Carlson*
Affiliation:
Occidental College
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Abstract

This paper describes a simple orthogonal multiple factor approximation procedure that involves no inversion of the sign of negative residuals, the estimation of only as many communalities as there are factors, and none or only a few minor rotations of the axes in an attempt to obtain a “meaningful” solution. It also suggests a technique for the estimation of those communalities that must be estimated. The factor loadings obtained by means of this procedure, which we shall designate as the pre-selection procedure, are affected by the order in which the factors are obtained, showing a reduction in variance accounted for by each successive factor, as is characteristic of the centroid, bi-factor, and principal factor solutions. The entire procedure takes considerably less time than that involved in the orthodox centroid method alone.

Type
Original Paper
Information
Psychometrika , Volume 10 , Issue 4 , December 1945 , pp. 283 - 301
Copyright
Copyright © 1945 Psychometric Society

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Footnotes

*

This name was suggested by Dr. E. L. Welker, Department of Mathematics, University of Illinois.

References

Guilford, J. P. Psychometric methods (pp. xvi–566). New York: McGraw-Hill, 1936.Google Scholar
Holzinger, K. J. and Harman, H. H.Factor analysis. University of Chicago Press, 1941. Pp. xii - 417.Google Scholar
Thurstone, L. L.The vectors of mind. University of Chicago Press, 1935. Pp. xv - 266.Google Scholar
Thurstone, L. L. Current misuse of the factorial methods. Psychometrika, 1937, 2, 73–76.CrossRefGoogle Scholar
Woodrow, H. and Wilson, L. A. A simple procedure for approximate factor analysis. Psychometrika, 1936, 1, 245–258.CrossRefGoogle Scholar