[R-meta] formula of variance of mean effect from a RE model with 1/vi with weights

[Viechtbauer, Wolfgang (NP)]

Dear Yefeng,

I just described this in a recent post:

https://stat.ethz.ch/pipermail/r-sig-meta-analysis/2023-April/004571.html

Best,
Wolfgang

>-----Original Message-----
>From: R-sig-meta-analysis [mailto:r-sig-meta-analysis-bounces using r-project.org] On
>Behalf Of Yefeng Yang via R-sig-meta-analysis
>Sent: Monday, 24 April, 2023 10:39
>To: r-sig-meta-analysis using r-project.org
>Cc: Yefeng Yang
>Subject: [R-meta] formula of variance of mean effect from a RE model with 1/vi
>with weights
>
>Dear experts,
>I see the rma() in metafor package can run a random-effects meta-analysis with
>inverse sampling variance (say vi) as weights (setting weights = 1/vi). I wonder
>about the formula used to calculate the variance (or standard error) of the
>overall mean in this model. I would be grateful if someone can provide the
>corresponding estimator.
>
>Best
>Yefeng Yang PhD
>UNSW, Sydney