Latent interactions in Bayesian SEM PreviousNext
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 'Alim Beveridge posted on Sunday, January 12, 2014 - 10:23 pm
Dear Linda and Bengt,

I am using BSEM to estimate a model with latent interactions. It seems the built-in method for latent interactions (LMS) described in the Mplus manual (Example 5.13) will not work with ESTIMATOR= Bayes. Please correct me if I'm wrong but I get the following error:

*** ERROR in MODEL command
Interaction variables are not allowed with ESTIMATOR=BAYES.

Can you recommend another way to do latent interactions in BSEM? Would you recommend the unconstrained method by Marsh, Wen & Hau (2004, 2006)?
 Bengt O. Muthen posted on Monday, January 13, 2014 - 8:43 am
Yes, we haven't gotten to XWITH for Bayes yet.

I am not in a position to make a recommendation on alternatives.
 'Alim Beveridge posted on Friday, January 17, 2014 - 8:54 am
Hello Bengt & Linda,

I tries an approach to estimating a latent interaction using Bayesian estimation. This approach requires specifying a single non-linear constraint, following this example (code snippet is from Coenders, Batista & Saris 2008):

model:
eta1 by y1@1;
eta1 by y2* (p1);
eta2 by y3@1;
eta2 by y4* (p2);
eta3 by y1y3@1;
eta3 by y2y4* (p3);

model constraint:
p3=p2*p1;

I get the following error:
*** FATAL ERROR
THIS MODEL CONSTRAINT IS NOT AVAILABLE WITH BAYES ESTIMATION.

However, I was able to do the following in Bayesian estimation to test an indirect effect following an example in the manual:
NEW(indirect1 indirect2);
indirect1 = a*b1;
indirect2 = a*b2;

Am I doing something wrong? or are non-linear constraints not supported with Bayesian estimation?
If not, is there another approach?
Another posts mentions phantom variables but I don't know what that is and can't find anything about this term in the manual.

Thanks fore your help,
'Alim
 Linda K. Muthen posted on Friday, January 17, 2014 - 8:57 am
Only NEW parameters are available with BAYES.
 'Alim Beveridge posted on Saturday, January 18, 2014 - 4:43 am
Thanks. can you explain about phantom variables please or suggest where to read about this?
mentioned here: http://www.statmodel.com/discussion/messages/11/7736.html?1310007137
 Bengt O. Muthen posted on Saturday, January 18, 2014 - 3:18 pm
Google a Psychometrika article by Rindskopf.
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