As I have described in the relevant question, that my survey is a case2 Best wost scaling and I have 6 dimensions, and each of them has 5-6 levels from the best level of the dimension to the worst level in the dimension.

I was adding a constraint that for each dimension level should be arranged logically from best to worst (for example 1>2>3>4>5>6) and this made the estimation for the model take round a day each time.

My question is what I did is correct or wrong? I mean when I estimate the HB in case 2 as I mention should I add this constraint that is mentioned above or I should not add this constraint at all and check the results without any constrains then If I found some illogical utilities (like worse levels having more utility than better levels in the same dimensions ) I should add these constrains later on??

On the other hand how could I decide which covariates are important to include n the model and which are not? (like age, gender, income...etc)

Regards'

Ahmed