We have a fairly big database that is built up by our own users. The way this data is entered is by asking the users 30ish questions that all have around 12 answers (x,a,A,B,C, ... ,H). The letters stand for values that we can later interpret.
I have already tried and implemented some very basic predictors, like random forest, a small NN, a simple decision tree etc.
But all these models use the full dataset to do one final prediction. (fairly well already).
What I want to create is a system that will eliminate 7 to 10 of the possible answers a user can give at any question. This will reduce the amount of data we need to collect, store, or use to re-train future models.
I have already found several methods to decide what are the most discriminative variables in the full dataset. Except, when a user starts filling the questions I start to get lost on what to do. None of the models I have calculate the next question given some previous information.
It feels like I should use a Naive Bayes Classifier but I'm not sure. Or recalculating the Gini or entropy value at every step. But as far as my knowledge goes, we can't take into account the answers given before the recalculating.
Let me know if you need any more information than this and I'll be more than happy to provide it!