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Obtaining Maximum-Likelihood Estimates of Factor Loadings and Communalities Using an Easily Implemented Iterative Computer Procedure

Published online by Cambridge University Press:  01 January 2025

W. J. Hemmerle*
Affiliation:
University of Rhode Island

Abstract

This paper considers the problem of computing estimates of factor loadings, specific variances, and communalities for a factor analytic model. The equations for maximum-likelihood estimators are discussed. Iterative formulas are developed to solve the maximum-likelihood equations and a simple and efficient method of implementation on a digital computer is described. Use of the iterative formulas and computing techniques for other estimators of factor loadings and communalities is also considered to provide a very general approach for this aspect of factor analysis.

Type
Original Paper
Copyright
Copyright © 1965 Psychometric Society

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