I observe if persons, who are asked questions, will ignore them, respond verbally only, respond nonverbally only or respond verbally and nonverbally.

Dependent on three dummy variables for type of question, how it is phrased and the quality of the person asking I want to predict odds for response/type of response.

Please help me picking an apropriate model:

• A multinomial logit with 4 categories (no response/only verbal/only nonverbal/both)
• A logit model for no response/any kind of response and a second multinomial logit with 3 categories (only verbal/only nonverbal/both) for the cases where there are responses
• Something else?

Which model would be best to use with categories like these?

Thanks for your input!