, Volume 38, Issue 1, pp 1–10 | Cite as

A reliability coefficient for maximum likelihood factor analysis

  • Ledyard R Tucker
  • Charles Lewis


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.


Common Factor Factor Model Reliability Coefficient Factor Solution Likelihood Ratio Statistic 
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 1973

Authors and Affiliations

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

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