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Hi, 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? 


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. 


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. Thanks! 


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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