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 Vivo Gharib posted on Sunday, February 07, 2016 - 2:13 pm
Dear Dr. Bengt O. Muthen & Dr. Linda K. Muthen,

In another recent thread, Dr. Bengt has guided me toward the SEMNET forum. Then, I have seen there an old message (from the year 2005), stating that the following model (#1) can't be handled by any SEM software even Mplus. The stated reasons are: the model is non-recursive, having more than 2 responses, and the responses are non-continuous.
My question: is it still impossible to handle Model #1 using later editions of Mplus. And, what about Models #2 & #3, can Mplus handle them?

Model #1
Y1 = f1 (Y2, Y3, X1)
Y2 = f2 (Y3, X2)
Y3 = f3 (Y2, X3)

Y1 & Y2 are ordered categorical (ordinal) variables, and Y3 is binary (dichotomous) variable

X1 , X2 , and X3 are vectors of independent (continuous & non-continuous) variables. They contain similar and different x's of each others. f1, f2, f3 are the suitable functions.

Cross-Sectional analysis, Sample size 500.
Suppose the model specification has passed the identification test.

Model #2
Y1 = f1 (Y2, Y3, X1)
Y2 = f2 (X2)
Y3 = f3 (Y2, X3)
With same definitions as in Model #1

Model #3
Y1 = f1 (Y2, Y3, X1)
Y2 = f2 (Y1, Y3, X2)
Y3 = f3 (Y1, Y2, X3)
With same definitions as in Model #1

Your help is highly appreciated.
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