In example 8.14 of the MPLUS Version 7 user's guide, there is a section in the output (just before the 'results in probability scale' section) which says:
Latent Class Pattern 1 1
C2#1 ON X -0.689 0.327 -2.106 0.035
C2#2 ON X -1.708 0.630 -2.711 0.007
Latent Class Pattern 2 1
C2#1 ON X -1.659 0.863 -1.921 0.055
C2#2 ON X -2.353 0.734 -3.208 0.001
Latent Class Pattern 3 1
C2#1 ON X 0.522 0.384 1.360 0.174
C2#2 ON X 1.316 0.424 3.101 0.002
My question is: What would be the proper way of interpreting the numbers in the first column?
The way I look at it is that, for example, 1.316 would be the effect of the covariate X on the log odds of a participant transitioning to class 2 over class 3 at time 2, given that the participant was in class 3 at time 1.
Similarly, for example, -0.689 would be the effect of the covariate X on the log odds of a participant transitioning to class 1 over class 3 at time 2, given that the participant was in class 1 at time 1.
where c2#1 is a binary response variable equal to 1 if a participant is classified in category 1 at the second time point and zero if the participant is classified in category 2 or 3 at the second time point (the example assumes 3 latent classes only per time point), and c1#1 and c1#2 are defined analogously (with class 3 as the reference class). In the above, beta1-beta4 are regression coefficients.
Thus the output of MPLUS I posted previously actually do NOT include beta3 and beta4, but rather, they are estimates of contrasts -- is this correct?
If so, how do I obtain beta3 and beta4, and their corresponding standard errors and p-values?