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A reliability coefficient for maximum likelihood factor analysis. (English) Zbl 0249.62095

Summary: 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.

MSC:

62H25 Factor analysis and principal components; correspondence analysis
62P15 Applications of statistics to psychology
91E99 Mathematical psychology
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References:

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