Emil O W Kirkegaard

still not sure what you want? Get d (corrected for rel.?) from the other stuff? If you don't care what's on right side>

it's just a long chain of the parts you already got? Or do you also want it simplified and with d popping up again?

A direct equation for adjusting d for measurement error. Can be made by rearranging the three above. @dingding_peng

so you want to plug in d, n1, n2, reliabilities and get corrected d?

I mean you could do that but it would only look more messy and not add any information, would it?

2*((d/sqrt(d^2 + ((n1 + n2)^2/(n1*n2))))/sqrt(rl1 * rl2)))/sqrt(1-((d/sqrt(d^2 + ((n1 + n2)^2/(n1*n2))))/sqrt(rl1 * rl2))^2

with rl1 and rl2 being the reliabilities. but if I was doing that in my code, I'd prefer multiple lines, way more readable