Can one do a confirmatory factor analysis with items on different response scales. let's say 50 items have a likert response scale from 1 to 4, and the second group of items have a likert response scale from 1 to 5.
From my understanding, for exploratory factor analysis, this is not a problem, especially if I estimate the EFA on a correlation matrix. Am I right to assume this?
I am not quite sure about the CFA, whether this is okay. Any pitfalls, considerations, most responses I find online just beat around the bushes and I can't make my mind up based on them.