Hi all! I'm conducting a study where I have a designed a path model wherein most latent variables have polytomous indicators (ordinal data). However, one instrument I intend on using measures a construct with a mix of dichotomous and polytomous items. My question is can I somehow model a single latent variable with both these types of data? I've seen models where a factor has either dichotomous or polytomous indicators, but neither types together.
(I planned on using an estimation method that performs better for these types of data, such as WLSMV.)
You must carry out an exploratory factor analysis of this instrument and then group them into different polytomic and dichotomous factors according to their theoretical framework, otherwise it would not be recommended for SEM
You could use the partial credit model (generalization of the Rasch model to ordinal items), as this can also handle items with differing number of response categories.
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