Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-08T09:35:52.643Z Has data issue: false hasContentIssue false
  • English
  • Français

A Method of Factor Analysis by Means of which all Coordinates of the Factor Matrix are given Simultaneously

Published online by Cambridge University Press:  01 January 2025

Paul Horst
Paul Horst*
Affiliation:
The Procter and Gamble Company, Cincinnati, Ohio
Get access Rights & Permissions [Opens in a new window]

Abstract

In general, the methods of factor analysis developed during the past five years are based on the reduction of the correlational matrix by successive steps. The first factor loadings are determined and eliminated from the correlational matrix, giving a residual matrix. This process is continued for successive factor loadings until the elements of the last obtained residual matrix may be regarded as due to chance. The method outlined in this paper assumes the maximum number of factors m in the correlational matrix. The m factor vectors are solved for simultaneously. Once the m factor vectors are found, any vectors having only negligible factor loadings may be discarded.

Type
Original Paper
Information
Psychometrika , Volume 2 , Issue 4 , December 1937 , pp. 225 - 236
Copyright
Copyright © 1937 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Eckart, C. and Young, G. The Approximation of One Matrix by Another of Lower Rank. Psychometrika, 1936, 1, 211–218.CrossRefGoogle Scholar
Hotelling, H. “Analysis of a Complex of Statistical Variables into Principal Components”, Journal of Educational Psychology, 1933, pp. 432–434.Google Scholar
Mills, F. C. Statistical Methods, Henry Holt and Company, 1924, pp. 577–581.Google Scholar
Thurstone, L. L. The Vectors of Mind, University of Chicago Press, 1935, pp. 78–81.Google Scholar