I am running a large study in two countries (A and B), I am interested in comparing the differences between the two countries. When I run a 3-group solution using latent class analysis, I get slightly different segments for both countries A and B (two of the three segments are the same, while the remaining segment differs slightly between country A and B in terms of the attributes that are preferred).

Would it be incorrect to run latent class analysis on both countries as a whole (A+B) to generate a 3-group solution, then divide the membership of individuals by their country of origin before calculating HB utilities by country and by segment so that the segments are comparable? Or would this be incorrect because in using both countries to generate the universal segments, one country may in fact influence certain segments more than the other?

With much thanks,

Victoria