Abstract
Latent Class analysis has been used to study the hierarchical relationship among sets of categorical variables. Researchers routinely use chi-squared statistics as model-selection criteria. Due to the limitation of chi-squared statistics, it is desirable to develop other model selection indices. In this study, we compared the performance of chi-squared statistics with three information criteria, Akaike's AIC, Schwarz's BIC and Bozdogan's CAIC. The factors actually manipulated in this study were types of latent class model and conditional response probabilities including intrusion and omission error rates for certain models.
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