jamovi

Hi,

I understand that in a meta-analysis of propritons, an estimate and standard error (SE) are computed.

Is there a way to convert that standard error to standard deviation (SD)?

Let's say I have 7 studies comprised of a total of 400 patients, and my meta-analysis results are as follows:
Estimate: 0.0467
SE: 0.0105

I know there is a formula SD = SE * square root of sample size
Using the sample size of 400 patients, this gives me a SD of 0.21. This seems huuuuuuge and makes no sense. Should I instead be using the square root of the total # of studies included in the analysis?

any help would be much appreciated.

Thank you!
Aviv