Two ESEM models fit well my data (Chi-square p > 0.05, CFI/TLI > 0.96, RMSEA < 0.06, WRMR < 1.0) and I'd like to assess if one fits better than the other. The second model uses the same variables as model 1 minus one variable. Therefore, I believe I could run the chi-square test difference between the two models, if I was able to specify model 2 from model 1 by constraining to zero (in model 1) the loadings of the variable not present in model 2. However, factor loadings cannot be constrained in the EFA part of ESEM.
Q. Is it possible to use chi-square difference test in ESEM (WLSMV estimator), when one model has the same number of variables used in the other model minus one? If yes, could you please explain how?
Thanks for your answer. I realized after sending it that because the loading I wanted to constrain to 0 was not a real 0 loading, the models were not nested. My core question is how can you decide which model fits the best the data in ESEM with ordinal data, when the models are not nested, and with some models involving correlated residuals?