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?
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.
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.