I am modeling the effects of a latent-manifest variable interaction on a 2-category outcome. The interaction term is significant and I am trying to calculate the OR and 95% CI for +/-1 SD of the interactionís components. Based on previous posts in this forum, it is my understanding that logits for combinations of the interactionís components could be calculated and compared via the following formula through Model Constraint:
I think you are correct about difflogit's relationship to OR and the CI limits of the OR. But the logit1 and logit2 equations look suspect to me. First, the sign of the threshold should be changed to give a logit intercept. Second, I would express the interaction as a moderation like:
b*(gamma1 + gamma2*mod)*x,
where mod moderates the influence of x. Here, mod*x is the interaction.
Thank you for your helpful feedback, and please excuse this delayed reply. Based on your handouts, it was my understanding that the moderator function is (b_eta2 + b_intercept*eta1)*eta2. Can you clarify what the "b" parameter represents in b*(gamma1 + gamma2*mod)*x?