Obtaining Maximum-Likelihood Estimates of Factor Loadings and Communalities Using an Easily Implemented Iterative Computer Procedure
- 1 September 1965
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 30 (3) , 291-302
- https://doi.org/10.1007/bf02289492
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.Keywords
This publication has 6 references indexed in Scilit:
- Some Rao-Guttman RelationshipsPsychometrika, 1962
- On Sturm Sequences for Tridiagonal MatricesJournal of the ACM, 1960
- Householder's Method for the Solution of the Algebraic EigenproblemThe Computer Journal, 1960
- The Calculation of the Eigenvectors of Codiagonal MatricesThe Computer Journal, 1958
- Estimation and Tests of Significance in Factor AnalysisPsychometrika, 1955
- VI.—The Estimation of Factor Loadings by the Method of Maximum LikelihoodProceedings of the Royal Society of Edinburgh, 1940