I´ve run an EFA followed by a CFA for three questionnaires. The observed variables were treated as ordered categorical and I used the WLSMV-estimator. It turned out, each of the 3 questionnaire consits of 3 factors.
I´ve run a SEM with all three questionnaires using the following model command: A1 on B1 B2 B3; A1 on C1 C2 C3; A2 on B1 B2 B3; A2 on C1 C2 C3; A3 on B1 B2 B3; A3 on C1 C2 C3; output: standardized (stdyx);
For example, for the Factors A1, B1 and C1 the results were (STDYX Estimates): B1 WITH C1 0.9 A1 ON B1 0.65 A1 ON C1 0.75
B1 and C1 are highly correlated. I would like to know how much they overlap in their prediction on A1.
My question is: What do the regression coefficients ( 0.65 and 0.75) exactly mean?
Is the regression coeffizient of B1 on A1 only based on B1? Are the effects of the other B2,C1,.. partialed out?
I hope you can understand my question, despite of my bad english.
Hi, thank you very much for the quick answer! This ist my model command: A1 on B1 B2 B3; A1 on C1 C2 C3; A2 on B1 B2 B3; A2 on C1 C2 C3; A3 on B1 B2 B3; A3 on C1 C2 C3; output: standardized (stdyx);
A1-A3 are the dependend variables, B1-B3 and C1-C3 are the independet variables, I mixed that up in my last post.
If i got you right, all coefficients are partial regression coefficients and it doesn´t matter that I´ve six On-Statemants, right?
Is it possible, given all the partial regression coefficients and the correlations between B (1-3) and C(1-3), to answer the question how much B1-B3 overlaps with C1-C3 in their prediction on A, or will I have to run further analyses in order to answer that question?