[R-meta] Sample-size weighting of estimates of response ratios?

[Will Hopkins]

I know that metafor allows meta-analysis of response ratios (aka factor
effects or ratios of means), but I can't find in the metafor documentation
whether it's possible to weight the individual study estimates with their
effective sample size rather than the usual inverse of the square of the
standard error.  Bakbergenuly et al. (2020) recommended this approach to
reduce the downward bias in the meta-analyzed mean ratio and heterogeneity.
I am not a user of metafor, but I need to be able to state whether it's
available for a manuscript I am revising with a colleague (Dave Rowlands)
about better approaches than standardization when meta-analyzing means.
Wolfgang, is it already available, or if not, do you intend to implement it?

We use SAS's proc mixed for metas, with the elegant method of setting the
residual variance to unity, but I don't know how to adapt this method to
weighting by sample size. If anyone on this list can enlighten me, that
would also be cool, thank you.

Will

Bakbergenuly I, Hoaglin DC, Kulinskaya E. Estimation in meta-analyses of
response ratios. BMC Med Res Methodol. 2020;20(1):263.
doi:10.1186/s12874-020-01137-1