I've conducted a survey with a binary dependent variable that I assessed twice. My sample is small (n=160) and I got one answer rarely (0=6; 1=154).

I'm wondering which statistical test to use. I know that there is multilevel logistic models to account for the nested data structure and that there is, for example, penalized maximum likelihood for the small sample/rare events. Is there a combination of both?

I'm using Stata14.

Best,

akischo