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

[Yefeng Yang]

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
________________________________
From: James Pustejovsky <jepusto using gmail.com>
Sent: Friday, 30 June 2023 13:08
To: Yefeng Yang <yefeng.yang1 using unsw.edu.au>
Cc: R Special Interest Group for Meta-Analysis <r-sig-meta-analysis using r-project.org>
Subject: Re: [R-meta] sd of blups vs tau in RE model

 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.


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