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 matthew urato posted on Wednesday, May 27, 2009 - 4:08 pm
I have a simple path model: x -> u -> y where u is binary and y continuous; estimator is WLSMV. What are the equations that Plot3 graphs use when presenting the estimated values of u and y? (e.g., the probit probability estimates of u - outlined in ch13 of the UG - do not seem to accord with the graph of estimated values of u).
 Linda K. Muthen posted on Wednesday, May 27, 2009 - 5:10 pm
The u and y predicted values are not plotted. It is the unconditional values.
 matthew urato posted on Thursday, May 28, 2009 - 12:40 pm
Ok, a follow-up question. I am looking at the sample correlation for two endogenous binary variables (with covariates) estimated under WLSMV. This should be the correlation of the residuals from probit models. What kind of residuals are they (e.g., anscombe, pearson) - how are they calculated?
 Linda K. Muthen posted on Thursday, May 28, 2009 - 4:23 pm
This is a residual covariance between the latent response variables underlying the observed categorical variables. See the following reference for details:

Muthén, B. (1984). A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators. Psychometrika, 49, 115-132.
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