first, I run an HB analysis and saw that the relative importances differ across respondents (sometimes even a lot), indicating that there might be lots of heterogeniety in the sample. Therefore, I conducted a LC analysis to identify potential segments. Indeed, LC shows me that 3 to 4 segments would be valuable to apply in my case according to certain criteria such as BIC and CAIC. Also, the number of respondents in each segment is relatively equally distributed.
However, since the results of HB concerning predictive accuracy and model quality are more precise than for LC, I am asking myself currently whether it would be valuable to first outline the results of HB, doing the tests (MAE, MSE, hold out sample, t-test for attribute levels) and then to conduct the LC analysis rather than to compare it with the logit model.
Do you have any advice for that? What would you recommend to do?
Also, is there any other approach to test for heterogeniety in HB (e.g. comparing one "hypothetical" or random respondent to the mean of the whole sample and conduct a t-test)?
Thanks for your help!