Using IRT factor scores for SEM

General
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Hi everybody,

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?

Background:

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,

Martin

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