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Interactions in latent variable models

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pehkawn's picture
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Joined: 05/24/2020 - 19:45
Interactions in latent variable models

I am fairly new to SEM in general, and I've been trying to figure out the best approach to modeling interaction effects between latent variables in OpenMx.

Umbach et al (2017) and Cortina et al (2021) both provide an overview of the existing methods for identifying latent interactions.
At least product indicator approaches, such as the constrained approach described by Kenny & Judd (1984) and the unconstrained approach by Marsh et al. (2004) should be possible to model in OpenMx. Can for example the indicator products be computed as mxAlgebra objects? What about distribution analytic approaches such as LMS (Klein and Moosbrugger, 2000)?

Any example scripts or tutorials would be appreciated.