XX.—Some New Results in Maximum Likelihood Factor Analysis

D. N. Lawley

53 citations0/0 files storedProceedings of the Royal Society of Edinburgh Section A Mathematical and Physical Sciences

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Psychometric Methodologies and Testing Statistical Methods and Applications Statistical and numerical algorithms

Abstract

Synopsis Until now the chief obstacle to the application of the maximum likelihood method of estimation to factor analysis has been the lack of any really good numerical method of solution. In this paper we give a brief review of recent work which remedies this defect. Two factor analysis models are considered. In each case we derive results which are of use in connection with new methods of solution. Formulae are given for the large-sample variances and covariances of the estimates of parameters in the first model.

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References

1972Factor Analysis as a Statistical Method.1962Factor Analysis as a Statistical Method 1940VI.—The Estimation of Factor Loadings by the Method of Maximum Likelihood 1966Testing a Simple Structure Hypothesis in Factor Analysis 1955SOME CONTRIBUTIONS TO FACTOR ANALYSIS

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1975A Class of Factor Analysis Estimation Procedures with Common Asymptotic Sampling Properties 1987The asymptotic distributions of some estimators for a factor analysis model 1973A Note on Lawley’s Formulas for Standard Errors in Maximum Likelihood Factor Analysis 1979Estimating the Standard Errors of Rotated Factor Loadings by Jackknifing

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