Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-02-11T09:32:23.195Z Has data issue: false hasContentIssue false
  • English
  • Français

Oblique Factor Analytic Solutions by Orthogonal Transformations

Published online by Cambridge University Press:  01 January 2025

Chester W. Harris  and
Henry F. Kaiser
Chester W. Harris
Affiliation:
University of Wisconsin
Henry F. Kaiser
Affiliation:
University of Wisconsin
Get access Rights & Permissions [Opens in a new window]

Abstract

A general framework for obtaining all possible factor analytic solutions, orthogonal and oblique, for a given common factor space is developed in detail. Interestingly, and seemingly paradoxically, any one of these solutions may be obtained by orthogonal transformations of selected matrices; thus an oblique solution may be determined by orthogonal transformations. Within the possible oblique solutions, two distinct categories of solutions emerge, a special case of the simpler of which apparently provides a definitive solution to the problem of independent, but correlated, clusters. Possible further specializations of the general approach to specific problems are discussed.

Type
Original Paper
Information
Psychometrika , Volume 29 , Issue 4 , December 1964 , pp. 347 - 362
Copyright
Copyright © 1964 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

Harman, H. Modern factor analysis, Chicago: Univ. Chicago Press, 1960.Google Scholar
Harris, C. W. and Knoell, D. The oblique solution in factor analysis. J. educ. Psychol., 1948, 39, 385–403.CrossRefGoogle Scholar
Holzinger, K. J. and Harman, H. Factor analysis, Chicago: Univ. Chicago Press, 1941.Google Scholar
Horst, P. A non-graphical method for transforming an arbitrary factor matrix into a simple structure factor matrix. Psychometrika, 1941, 6, 79–99.CrossRefGoogle Scholar