Hostname: page-component-74656f9884-j7cmm Total loading time: 0 Render date: 2026-11-07T21:34:34.081Z Has data issue: false hasContentIssue false

Geometric Vector Orthogonal Rotation Method in Multiple-Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Shigeo Kashiwagi*
Affiliation:
Itabashi-Ku, Tokyo, Japan

Abstract

An objective method for the orthogonal rotation of factors which gives results closer to the graphic method is proposed. First, the fact that the varimax method does not always satisfy simple-structure criteria, e.g., the positive manifold and the level contributions of all factors, is pointed out. Next, the principles of our method which are based on “geometric vector” are discussed, and the computational procedures for this method are explained using Harman and Holzinger's eight physical variables. Finally, six numerical examples by our method are presented, and it is shown that they are very close to the factors obtained from empirical studies both in values and in signs.

Information

Type
Original Paper
Copyright
Copyright © 1965 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.)

Article purchase

Temporarily unavailable