Y on X1, z1, z2, z2; z1 on X2; z2 on X3; z3 on X4;
We are proposing an alternate to this model in the following way
Y1 on X1, eta; eta by z1, z2, z3; eta on X5;
X’s are vector and have enough unique elements. Y is binary, Z’s are ordered (3 categories) categorical. However, I actually am modeling Y* and z*s rather than Y and z’s and hence I am using your WLSMV estimator (based on your articles appeared in Journal of Econometrics, ‘83 and Psychometrika, ’84, ’87, ’95 and ‘97)
I need to calculate Y* at the mean values of its explanatory variables.
I am using MPlus 4.1 and my questions to you are;
could you kindly suggest me -
Q1. how can I calculate predicted value for z*’s which I can later plug in Y* equation. I am NOT interested in, for example, Pr(z1=1) or pr(z1=2) or Pr(z1=3) and so on
Q2. how can I calculate predicted mean value for “eta”? Should it not be zero, I mean the mean value of “eta”?
In the context of the above question, should I consider the two thresholds associated with each Z's to estimate the respective predicted Z*s. The Z's and the respective Z*s are related through ordered probit.