I am relatively new to bayesian approach and currently I am having a time of learning by doing. I have found a great MRP tutorial written by Austin Rochford. followed it through and even made it work with my own survey data and census data for predicting Turkish national elections. In the survey data the ruling party is represented 16% which is nowhere near matching the reality(40-45% for the ruling party).I binarized the Dependent variable by recoding the ruling party as 1 and the rest as 0. When I applied MRP it gave me 41.9%. It’s incredible(I hope it wasn’t just the beginner’s luck)
I have searched on google for different MRP tutorials. So far I couldn’t find any code which applies MRP to multinomial case.
Is it technically possible to make MRP work with non-binary dependent variables? If so, can anyone show me how to do it? If it only works with binary DV, what is the convenient way to make such predictions? I think there must be a way to make it work because some companies like Yougov Daliaresearch Civey etc use MRP.
What I have in my mind is to build different models for different parties each time making “one party vs rest” sort of binarization. Does that statistically make sense or am I committing a crime against the data?
I hope I was able to express my question clearly. Thanks in advance for your answers.