For a discrete choice experiment with a partial profile balanced design with overlap, can one build a
a) fixed effects multinomial logit model,
b)mixed effects multinomial logit model,
c) fixed effects multinomial probit model, and
d)mixed effects multinomial probit model?
There are three alternatives per question, 16 attributes, and only three attributes are presented in each question. A total of 18 questions. We are interested in modelling individual ID as the random/cluster variable, attributes (A1-A16) as fixed effects, and patient demographic as fixed effects.