I performed an ANOVA on my dataset and I have determined which predictors are significant and which are not. Now I need to minimize my response variable in order to predict which combination of 2 categorical variables yields the smallest response. How do I do this? If they were continuous variables this wouldn't be difficult but I'm struggling to conceptualize how to go about doing this with 2 categorical variables. My last resort would be to manually check combinations but I know there has to be a better solution. I know I'm missing the obvious solution here but I just can't solve this issue.