The multinomial logit model with random effects is often used in modeling correlated nominal polytomous data. Given that there is no standard software of fitting it, we advocate using either a Poisson log-linear model or a Poisson nonlinear model, both with random effects. Their implementations can be carried out easily by many existing commercial statistical packages including SAS. A brand choice dataset is used to illustrate the proposed methods.
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Chen et al. (2001) studied this question.
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