I did some extended research about this question but didn't find a good answer: Is it ok to use IRT results (factor scores from package mirt) as input variable for (classical) SEM (lavaan) regression analysis?
In my educational (pre-)study I measured several psychological scales via IRT-methods (mostly GRM) and got valid models and factor scores. I also measured an learning achievement test which I evaluated with MIRT, too. Now I want to know which psych factor has the biggest impact on learning achievement - a classical SEM problem, isn't it? But can I use my IRT data directly for the lavaan-model or are there some caveats to consider?
I am also glad if you can refer me to some appropriate literature.
Thanks a lot in advance,