A reliability coefficient for maximum likelihood factor analysis |
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Authors: | Ledyard R Tucker Charles Lewis |
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Institution: | (1) University of Illinois, USA |
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Abstract: | 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.
This research was supported by the Personnel and Training Research Programs Office of the Office of Naval Research under contract
US NAVY/00014-67-A-0305-0003. Critical review of the development and suggestions by Richard Montanelli were most helpful. |
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Keywords: | |
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