Hostname: page-component-6bf8c574d5-7jkgd Total loading time: 0 Render date: 2025-02-27T02:18:12.771Z Has data issue: false hasContentIssue false
  • English
  • Français

Centroid Orthogonal Transformations

Published online by Cambridge University Press:  01 January 2025

H. D. Landahl
H. D. Landahl*
Affiliation:
The University of Chicago
Get access Rights & Permissions [Opens in a new window]

Abstract

An initial transformation for facilitating the analysis of a factor problem is discussed. Such a transformation is used in the rotational procedure developed by L. L. Thurstone in an accompanying article.

Type
Original Paper
Information
Psychometrika , Volume 3 , Issue 4 , December 1938 , pp. 219 - 223
Copyright
Copyright © 1938 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

* The matrix thus set up is neither unique nor determined by an unique procedure, but is given in this form for convenience only.

† The condition may be stated with all subscript pairs interchanged.

* Thurstone, L. L., Primary Mental Abilities. 1938, Psychometric Monographs No. 1.

† The following may be generalized, approximately, for more than one vector.

‡ Most of the columns can be eliminated by inspection.

§ One might interchange the rows and obtain a still larger value for the expression given above, especially for the case of more than one known vector. Note that the orthogonality of a matrix is not affected by interchanging rows or by changing signs of rows; this fact is evident from the condition for orthogonality.