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It is suggested that Akaike's information criterion cannot be used for model selection in real applications and that there are problems attending the definition of parsimonious fit indices. A normed function of the noncentrality parameter is recommended as an unbiased absolute goodness-of-fit index, and the Tucker-Lewis index and a new unbiased counterpart of the Bentler-Bonett index are recommended for those investigators who might wish to evaluate fit relative to a null model
McDonald et al. (Thu,) studied this question.
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