1) Count Analysis: it's shown 1 pair of Joint effects as significant (P value p < .01)

2) Logit: done 2 models

1. with main effect only

2.with 1 pair joint effect from count

Results showed:

Log-likelihood joint effect =-3180.10927

main effect= -3204.68454

chi2= 49.15054531

df=9

from this: does this means for Logit analysis I will need to Analyse Logit analysis from main effects only?

3) LCA: from step 1 and 2 does this means.. Should I set interaction effects when running LCA or no?

Thank u so much!

Are you planning on using HB in the end to produce individual-level models? These usually outperform aggregate models since you aren't combining lots of different people together and often eliminate the need for interaction effects all together. It's not uncommon to run Latent Class to look for hidden segments, but still use HB to summarize the groups and as the basis for your simulators.