I have three questions regarding LCA and categorical indicators.
First, thresholds seem to be interpretable as cutpoints of a latent response variable. However, what is the distribution of said latent variable? Is it assumed normal?
Also, in case of interval data, is it possible to constrain the thresholds to be at equal distance from each other?
Finally, what about cases where an “I don’t know” option (or similar) is added to a Likert item? Would it be a good idea to separate the item into one dummy variable (know/don't know) and one ordinal variable?
So in ordinal LCA, the thresholds are for a logistic model. I was confused because in nominal LCA, the thresholds are logit. As for constraining the thresholds to be equidistant, I tried doing it this way, but it does not seem to be working: