Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-08T16:24:20.195Z Has data issue: false hasContentIssue false
  • English
  • Français

Admissible Values of γ in Direct Oblimin Rotation

Published online by Cambridge University Press:  01 January 2025

Robert I. Jennrich
Robert I. Jennrich*
Affiliation:
University of California at Los Angeles
*
Requests for reprints should be sent to Robert I. Jennrich, Department of Mathematics, University of California, Los Angeles, CA 90024.
Get access Rights & Permissions [Opens in a new window]

Abstract

It is shown that for nonpositive values of the parameter γ in the oblimin criterion, the criterion achieves a minimum on the manifold of all possible oblique rotations of any given full rank initial loading matrix A. For every positive value of γ, on the other hand, it is shown that there exists a full rank initial loading matrix A for which the oblimin criterion does not achieve a minimum over the manifold of all oblique rotations of A. These results help explain the sometimes divergent behavior that results from using direct oblimin algorithms with γ set to a positive value.

Keywords

direct oblimingammaoblique rotationboundedness
Type
Original Paper
Information
Psychometrika , Volume 44 , Issue 2 , June 1979 , pp. 173 - 177
Copyright
Copyright © 1979 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.)

Footnotes

This research was supported in part by National Institutes of Health Grant RR-3.

References

Frane, J. W. & Jennrich, R. I. BMDP4M, Factor Analysis. In Dixon, W. J. & Brown, M. B.(Eds.), BMDP biomedical computer programs, P-series. Berkeley: University of California Press. 1977, 656–684.Google Scholar
Harman, H. H. Modern factor analysis, 1976, Chicago: University of Chicago Press.Google Scholar
Jennrich, R. I. & Sampson, P. F. Rotation for simple loadings. Psychometrika, 1966, 31, 313–323.CrossRefGoogle ScholarPubMed