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Message-ID: <MN2PR19MB38215258A5EC9FA2542A2426CF15A@MN2PR19MB3821.namprd19.prod.outlook.com>
Date: 2023-08-16T19:36:04Z
From: John Mahas
Subject: [R-meta] Back-transforming Fisher's r-to-z transformed correlation coefficient to r in funnel and forest plots results

Hi All,

I performed a random-effect summary meta-analysis where study was used as a random effect. Here, I used the rma.mv function using the Fisher's r-to-z transformed correlation coefficient effect size (see code below).

CODE: results=rma.mv(yi,vi,data=datum,method="REML",random=~1|Study)

I can use then use the below code to create funnel and forest plots.

CODE: forest(results)
CODE: funnel(results)

The x axis for these plots would be my effect size (Fisher's r-to-z transformed correlation coefficient). My question is, what must I do in order to back transform my Fisher's r-to-z transformed correlation coefficient here in the plots so that they are displayed as the Pearson's correlation coefficient (r).

Thanks,

John

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