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This could be done relatively straightforwardly for the logitnormal (and cloglognormal...) case by using standard random-effects style additive normal random effects for each level.
For two levels there would be just one additional unknown (with the $\sigma$ replaced with $\sigma_1$ and $\sigma_2$ for the two levels of clustering$). There would be only one additional set of integrals (compared to the existing two) however, they would be 2-d integrals.
Could use something like cubature to do the multidimensional integration efficiently and accurately without resorting to monte carlo.
The text was updated successfully, but these errors were encountered:
This could be done relatively straightforwardly for the logitnormal (and cloglognormal...) case by using standard random-effects style additive normal random effects for each level.
For two levels there would be just one additional unknown (with the$\sigma$ replaced with $\sigma_1$ and $\sigma_2$ for the two levels of clustering$). There would be only one additional set of integrals (compared to the existing two) however, they would be 2-d integrals.
Could use something like cubature to do the multidimensional integration efficiently and accurately without resorting to monte carlo.
The text was updated successfully, but these errors were encountered: