Multilevel, Categorical/Multinomial Model- Terms and priors

[jeremy.koster]

@HanneHuygelier

Is the categorical model family appropriate for this type of outcome variable (which colour that they picked) or does the model assume that categories can be picked again?

It sounds like you’d benefit from a choice model, or what econometricians sometimes call a mixed logit model:

Mixed Logit Model

Hi Tom - First, this model is not identified. As you have it, individual attributes affect the utility of all choices to the same degree (ie simply result in a shift in utility for all choices that does not change their rank ordering). Your beta needs to be a matrix (probably with the P-1 parameterization, which can be achieved by setting the last row as 0). Second, it assumes that all individuals the same marginal utilities, and so you’ll get the red bus/blue bus problem. That mightn’t be a c…