[R-meta] sd of blups vs tau in RE model

Hi both,

I happen to come across a paper, which can answer both of your comments.

Eq. 1 and the following Eqs. show the derivation of the equivalence mentioned by my earlier email.

Wang C C, Lee W C. A simple method to estimate prediction intervals and predictive distributions: summarizing meta$B!>(Banalyses beyond means and confidence intervals[J]. Research Synthesis Methods, 2019, 10(2): 255-266.


Best,
Yefeng

Thanks for your clarification. Your explanations are very clear. Actually, the SD of BLUPs and tau will converge when the within-study replicates are getting large.

Can you say more about this? Is this claim based on simulations or something? I see the intuition, but it also seems like this property might depend not only on the within-study replicates all being large, but also on their _relative_ sizes.