[R-meta] Back transforming Z to r after meta-analysis

[Viechtbauer, Wolfgang (SP)]

Dear Bas,

You are looking for transf.ztor.int():

https://wviechtb.github.io/metafor/reference/transf.html

See the example for how to use this (the example uses transf.exp.int but it's the same principle).

Best,
Wolfgang

>-----Original Message-----
>From: R-sig-meta-analysis [mailto:r-sig-meta-analysis-bounces using r-project.org] On
>Behalf Of Hooren, Bas van (VBW)
>Sent: Thursday, 27 January, 2022 17:02
>To: r-sig-meta-analysis using r-project.org
>Subject: [R-meta] Back transforming Z to r after meta-analysis
>
>Dear,
>
>Currently I am performing a meta-analysis of correlations. I first transform
>these correlations to Fishers'z using metafor, but for interpretation I would
>like to back-transform the Z to r. I have read a few papers by Adam Hafdahl where
>he shows that a direct back-transformation as suggested by e.g. Borenstein can
>lead to errors and would therefore like to use the method he proposed for back-
>transforming Z to r (e.g.
>https://bpspsychub.onlinelibrary.wiley.com/doi/full/10.1348/000711009X431914?).
>
>I did not find any information on the implementation of any back-transformation
>methods and am wondering if any you know if there is an R-script that implements
>these transformations. Note: I have emailed the author (Adam) and he also was not
>aware of any implementation in R.
>
>Groeten/Kind Regards,
>
>Bas Van Hooren, PhD(c) | Nutrition and Movement Sciences | T: +31 6 51643957 | E:
>basvanhooren using hotmail.com | Twitter: @BasVanHooren