, Volume 38, Issue 1, pp 1–10

A reliability coefficient for maximum likelihood factor analysis

  • Ledyard R Tucker
  • Charles Lewis

DOI: 10.1007/BF02291170

Cite this article as:
Tucker, L.R. & Lewis, C. Psychometrika (1973) 38: 1. doi:10.1007/BF02291170


Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis. Usually, for a large sample of individuals or objects, the likelihood ratio statistic could indicate that an otherwise acceptable factor model does not exactly represent the interrelations among the attributes for a population. The reliability coefficient could indicate a very close representation in this case and be a better indication as to whether to accept or reject the factor solution.

Copyright information

© Psychometric Society 1973

Authors and Affiliations

  • Ledyard R Tucker
    • 1
  • Charles Lewis
    • 1
  1. 1.University of IllinoisUSA

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