How to compute Standard Error for effect size from confidence intervals?
I want to perform a meta analysis of the non-parametrical effect sizes (two independent samples comparison). From JASP I can easily get the non-parametrical effect size - It provides me with rank biserial corellation and confidence intervals.
BUT, to do a classical meta-analysis in JASP I need effect size and SE. So I tried to manually compute SE from effect size and lower/upper CI, but the standard formulas doesn't seem to work. I tried this one : Upper CI - Lower CI/3.92, but something is wrong. When I compute SE like this and do a meta, I get a slightly different CI bounds, that I got in the original JASP output. Eg. - look at the study 6 and its CI:
And originally, study 6 had an effect like this one :
The CI's are clearly not the same! (although pretty close)
So summing up - how can I get from CI bounds to SE for the rank biserial correlation or otherwise, how can I go around this issue and do a meta-analysis, given infos provided in such tables?
Any clues appreciated ! :),