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Psychometrika

, Volume 37, Issue 3, pp 243–260 | Cite as

Factor analysis by generalized least squares

  • Karl G. Jöreskog
  • Arthur S. Goldberger
Article

Abstract

Aitken's generalized least squares (GLS) principle, with the inverse of the observed variance-covariance matrix as a weight matrix, is applied to estimate the factor analysis model in the exploratory (unrestricted) case. It is shown that the GLS estimates are seale free and asymptotically efficient. The estimates are computed by a rapidly converging Newton-Raphson procedure. A new technique is used to deal with Heywood cases effectively.

Keywords

Public Policy Statistical Theory Weight Matrix Generalize Little Square Factor Analysis Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Psychometric Society 1972

Authors and Affiliations

  • Karl G. Jöreskog
    • 1
  • Arthur S. Goldberger
    • 2
  1. 1.University Institute of StatisticsUppsalaSweden
  2. 2.University of WisconsinUSA

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