[R-meta] Correcting Hedges' g vs. Log response ratio in nested studies

-----Original Message-----
From: R-sig-meta-analysis <r-sig-meta-analysis-bounces at r-project.org> On Behalf
Of Yuhang Hu via R-sig-meta-analysis
Sent: Thursday, November 2, 2023 05:42
To: R meta <r-sig-meta-analysis at r-project.org>
Cc: Yuhang Hu <yh342 at nau.edu>
Subject: [R-meta] Correcting Hedges' g vs. Log response ratio in nested studies

Hello All,

I know that when correcting Hedges' g (i.e., bias-corrected SMD, aka "g")
in nested studies, we have to **BOTH** adjust our initial "g" and its
sampling variance "vi_g"
(https://ies.ed.gov/ncee/wwc/Docs/referenceresources/WWC-41-Supplement-
508_09212020.pdf).

But when correcting Log Response Ratios (LRR) in nested studies, we have to
**ONLY** adjust its initial sampling variance "vi_LRR" but not "LRR" itself
(https://stat.ethz.ch/pipermail/r-sig-meta-analysis/2021-October/003486.html).

I wonder why the two methods of correction differ for Hedge's g and LRR?

Thanks,
Yuhang