I was wondering there is a way to carry out multinomial logistic regression within a structural equation model in R? I am currently using the lavaan package, and so far have not been able to find any discussion on this.

Background info:

My dataset includes answers to survey questions about innovativeness, proactiveness, and risk-taking on a Likert scale. First-order and second-order latent variables are created based on these questions to form the dimensions of innovativeness, proactiveness, and risk-taking and entrepreneurial orientation, respectively. Based on the second-order latent variable of entrepreneurial orientation, I would like to predict the type of employee an individual is. To this end, I am planning to use multinomial logistic regression.

That is why I was wondering if there is a way that I can implement multinomial regression within a SEM model. The lavaan package in R does not have the capacity to work with nominal dependent variables yet. Is there any way that we can work around this?

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