[R-meta] sd of blups vs tau in RE model
Yefeng Yang
ye|eng@y@ng1 @end|ng |rom un@w@edu@@u
Fri Jun 30 06:56:46 CEST 2023
Exactly. I was meant to the number of studies. I have no idea why I typed within-study replicates. Sorry for the confusion.
________________________________
From: James Pustejovsky <jepusto using gmail.com>
Sent: Friday, 30 June 2023 14:41
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
The approximations there are predicated on k (the number of studies) being large enough that the estimated heterogeneity (tau-hat) converges to the true heterogeneity parameter.
On Thu, Jun 29, 2023 at 11:29 PM Yefeng Yang <yefeng.yang1 using unsw.edu.au<mailto:yefeng.yang1 using unsw.edu.au>> wrote:
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‐analyses beyond means and confidence intervals[J]. Research Synthesis Methods, 2019, 10(2): 255-266.
Best,
Yefeng
________________________________
From: James Pustejovsky <jepusto using gmail.com<mailto:jepusto using gmail.com>>
Sent: Friday, 30 June 2023 13:08
To: Yefeng Yang <yefeng.yang1 using unsw.edu.au<mailto:yefeng.yang1 using unsw.edu.au>>
Cc: R Special Interest Group for Meta-Analysis <r-sig-meta-analysis using r-project.org<mailto: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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