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A Fast Approximate Algebraic Factor Rotation Method to Maximize Agreement Between Loadings and Predetermined Weights

Published online by Cambridge University Press:  01 January 2025

David A. Rodgers*
Affiliation:
University of California

Abstract

A method of rotating a set of orthogonal axes into a reference frame on which loadings are as nearly proportional to a predetermined set of weights as possible is presented. The method, an approximate algebraic solution, often requires some additional graphical refinement but eliminates most of the rotations involved in usual graphical solutions. Its primary value is speed and ease of calculation, involving only one matrix multiplication and solution of a simple formula to determine the rotation cosines.

Type
Original Paper
Copyright
Copyright © 1957 Psychometric Society

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References

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