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Also note that since these are linear transformations, the SE of the resulting d is the transformed SE of the log(OR).
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bwiernik commentedon Jul 18, 2023
Where does the 1.65 come from? The standard reference for this approximate conversion is https://DOI.org/10.1002/1097-0258(20001130)19:22<3127::AID-SIM784>3.0.CO;2-M
There, based on the SD of the standard logistic distribution, it would be divide by (pi / sqrt(3)), which is approximately 1.813
mattansb commentedon Jul 18, 2023
We already have the 3/sqrt(pi) conversion.
1.65 is from Sánchez-Meca, et al. (2003). Effect-size indices for dichotomized outcomes in meta-analysis. Psychological methods, 8(4), 448 (citing Cox 1970).
A user (meta-analyst) emailed me asking if we might add this conversion as well.
DominiqueMakowski commentedon Jul 18, 2023
Maybe
qnorm(0.95)?bwiernik commentedon Jul 18, 2023
Let me look into it—it's not obvious to me what the theory is behind that value (and the meta-analysis literature is rife with junk conversions, so I start off skeptical)
mattansb commentedon Dec 8, 2024
Closing this as there seems to be no need (and also we now have an exact transformation when supplying
p0).