Background
I am conducting a quantitative synthesis (meta-analysis) that includes previously published data. For the model that I am using, an exact or inflated estimate of SE is acceptable.
Question
Given a 95% Confidence Interval (measured from mean to upper or lower confidence limit), $\alpha$, and $n$, is it correct to estimate the standard error thus:
$SE = \frac{CI}{t_{(1-\alpha/2,n)}}$
?
This is based on the calculation by Saville, 2003, but most calculations of CI using the Z score. Unfortunately, $Z=f(SE)$, and I don't think it can be otherwise estimated.
note: this question is a subset of one that has remained unanswered on stats.stackexchange