Originally posted by Christopher Bratt
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With regards to the last request, a recent blog post on the Stata website shows that there is support for multilevel SEM in the Bayesian statistics commands (e.g., the IRT models are parameterized as items nested within subjects and both the item parameters and theta are estimated). If, however, you're interested in performance issues you may want to consider using the StataStan package developed by Robert Grant and can read a bit more about some of the performance benchmarking posted to Andrew Gelman's blog recently.
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