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Methods and Applications of Longitudinal Data Analysis by Xian Liu

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Chapter 11

Mixed-effects multinomial logit model for nominal outcomes

Abstract

In this chapter, I first provide an overview of the classical multinomial logit regression model, and then specify the mixed-effects multinomial logit model. Next, a retransformation method is introduced that derives unbiased nonlinear predictions of the response probabilities by using analytic results of the mixed-effects multinomial logit model. The method is designed to retransform two random components, the between-subjects random effects and the within-subject random disturbances. The delta method is applied to compute the standard errors of the predicted probabilities based on the approximate variance-covariance matrix for a mean multinomial logit function. As ...

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