One of the assumptions of SEM is linearity. I am using Mplus with WLSMV estimator for SEM for ordinal variables. In this case, is linearity assumption still required? If so, is there a way to check linearity assumption in Mplus?
You could (and probably should!) still look at bivariate scatterplots of your ordinal variables. But it may be tougher to identify potential non-linear relationships that way (compared to continuous variables), especially when your ordinal variables have only few categories.