Message-ID: <MEAPR01MB54150734802190C7F08802949D2AA@MEAPR01MB5415.ausprd01.prod.outlook.com>
Date: 2023-06-30T04:29:43Z
From: Yefeng Yang
Subject: [R-meta] sd of blups vs tau in RE model
In-Reply-To: <CAFUVuJxuu2Tyvv5=AJKeoCN_OEGYpaC5uBr=-c9TR6Gv9c2WeQ@mail.gmail.com>
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 at gmail.com>
Sent: Friday, 30 June 2023 13:08
To: Yefeng Yang <yefeng.yang1 at unsw.edu.au>
Cc: R Special Interest Group for Meta-Analysis <r-sig-meta-analysis at 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.
[[alternative HTML version deleted]]