I have used ESEM approach to EFA, by testing loading invariance in two groups. My results provide support for metric invariance, but loadings are equal only for unstandardized solution. I know that standardized coefficients are different in two groups because raw coefficients are standardized using group-specific model estimated standard deviations.
However, for reviewers these results seem to be somewhat confusing and they asked for some additional explanation.
My question: is there a way to run MG-EFA analysis that would also give me equal standardized coefficients?