Latent Variable based on correlation ... PreviousNext
Mplus Discussion > Structural Equation Modeling >
 Louie P. Cagasan Jr. posted on Friday, December 02, 2011 - 9:03 am

I am interested in examining five variables,and based on theory, they are not supposed to correlate with each other. However, common results show that correlation existed between the five variables. I hypothesize that another variable is the reason for the existence of these correlations.

Is it possible to estimate a latent variable based on the correlation results using Mplus?
 Linda K. Muthen posted on Friday, December 02, 2011 - 12:26 pm
I'm not clear on your question. You can model correlated factors in Mplus. But I don't know what "estimate a latent variable based on the correlation results" means.
 Louie P. Cagasan Jr. posted on Friday, December 02, 2011 - 9:59 pm
Hi, thanks for responding. I'll try to rephrase my question. Is it possible to do the following using Mplus?

r12 -> F1
r13 -> F1
r23 -> F1

Is possible to connect the curve lines (modeled correlations) to a factor? It is as if the modeled correlations define the factor. I am also not sure if my question is conceptually sound or possible; but I hope you can enlighten me on this.

 Bengt O. Muthen posted on Saturday, December 03, 2011 - 2:14 pm
It seems like you are thinking in terms of the r variables being "formative" indicators of the factor f1. This model needs an outcome - a variable that is influenced by f1. Otherwise the model is not identified. Much has been written about formative - see for instance articles by Bollen. We discuss how to do it in Mplus a bit at the end of our Topic 1 short course, see the handout on our web site.
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