[R-meta] conversion of OR to tetrachoric corr and its var

[Eran Barzilai]

Thank you!, I'll check it out.

On Fri, Mar 15, 2024 at 11:19 AM Viechtbauer, Wolfgang (NP) <
wolfgang.viechtbauer using maastrichtuniversity.nl> wrote:

> Hi Eran,
>
> See:
>
> https://wviechtb.github.io/metafor/reference/conv.delta.html
>
> and especially the example at the very end, which directly covers your
> question. Briefly, after conv.wald(), you use conv.delta() to convert the
> log odds ratio and its sampling variance to the tetrachoric correlation
> with its sampling variance.
>
> Best,
> Wolfgang
>
> > -----Original Message-----
> > From: R-sig-meta-analysis <r-sig-meta-analysis-bounces using r-project.org>
> On Behalf
> > Of Eran Barzilai via R-sig-meta-analysis
> > Sent: Friday, March 15, 2024 16:05
> > To: r-sig-meta-analysis using r-project.org
> > Cc: Eran Barzilai <barze445 using newschool.edu>
> > Subject: [R-meta] conversion of OR to tetrachoric corr and its var
> >
> > Hello,
> > Thank you for this great resource!
> >
> > I am working on a meta-analysis in clinical psychology where I compare if
> > different types of childhood adverse experiences have different
> > associations with later in life psychopathology.
> > To do that I combine effect size that comes from Pearson’s r correlation,
> > (log) odd-ratios, and mean differences (Cohen’s D). Since all the
> measures
> > are clinical, I assume all are continuous variables regardless of if they
> > were artificially dichotomized or not.
> >
> > My question is mostly about conversions of OR to the tetrachoric
> > correlation.
> >
> > Most of the studies report the 2X2 table, allowing me to calculate the
> > tetrachoric correlation directly using metafor’s escalc() function.
> > However, some only report the OR and its CI. For these studies use
> > metafor’sconv.wald() to calculate the log odd-ratios and their sampling
> > variance. Then I can metafor’s transf.lnortortet.pearson() to convert the
> > log odd-ratios to tetrachoric correlation.
> >
> > However, does it make sense to also use this function directly on the
> > log-odds variance to convert it to the variance of the tetrachoric
> > correlation?
> >
> > Alternatively, I thought of converting the log odd-ratios I calculate
> from
> > conv.wald() to d, and then to the biserial correlations. Will this method
> > produce more reliable estimation of the effect-size and its variance?
> >
> > Thank you for your help,
> > Eran
> >
> > --
> > Eran Barzilai, Ph.D., New School for Social Research
> > Clinical Psychologist Postdoc, Williamsburg Therapy Group
> > https://williamsburgtherapygroup.com/
> > Part-time Faculty, The New School, Schools of Public Engagement,
> Bachelor's
> > Program for Adults and Transfer Students
> > Pronouns: he, him, his
>


-- 
Eran Barzilai, Ph.D., New School for Social Research
Clinical Psychologist Postdoc, Williamsburg Therapy Group
https://williamsburgtherapygroup.com/
Part-time Faculty, The New School, Schools of Public Engagement, Bachelor's
Program for Adults and Transfer Students
Pronouns: he, him, his

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