I’m a PhD student in the field of economics very new using SEM and MX software.
I’d appreciate your feedback with regard to the following basic questions.
Let’s construct a SEM model where 3 measurable variables: X, Y and Z interact with a latent variable G and assume that the factor loadings of latent variable G over the measurable variables X, Y and Z are 0.3, 0.4 and 0.1 respectively. The model is constructed sourced on the correlation matrix (3x3) of the measurable variables.
Then, as far as factor loadings are considered as regression coefficients:
Question 1: could I estimate that G = 0.3X + 0.4Y + 0.1*Z?
Question 2: could you confirm me whether the obtained regression coefficients sourced on the correlation matrix are standardized or unstandardized coefficients?
Thanks