Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-08T12:03:38.220Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Rank of the Reduced Correlational Matrix in Multiple-Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Walter Ledermann
Walter Ledermann*
Affiliation:
Moray House, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Abstract

Since the factor problem is reduced mathematically to the expression of the obtained correlational matrix in terms of a matrix of lower rank, criteria for the determination of this lower rank are of first importance. These criteria are investigated by means of certain mathematical deductions, and brought into relation with Spearman's and Thurstone's factor theories.

Type
Original Paper
Information
Psychometrika , Volume 2 , Issue 2 , June 1937 , pp. 85 - 93
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

* We are using the terminology which Professor L. L. Thurstone introduced in his book The Vectors of Mind (Chicago, 1935). This work will henceforth be referred to as “Th”.

* Following the customary notation: [Z] = largest integer less than or equal to Z.

* See M. Bôcher, Introduction to Higher Algebra, p. 54 (New York, 1927).