st: random sampling matching the characteristics of the sample

[Andrea Rispoli <andrea.rspl@gmail.com>]

Dear Statalisters,
I am running a regression model: y=f(x, age, size) where x is a dummy
variable that can take value 1 or 0.
Since in my sample x=1 for 10% of the sample and x=0 for 90% of the
sample, I would like to identify a random subsample among the group
x=0 so that it is more "comparable" in terms of size with the
subsample for which x=1.

My problem is that I would like that the selected subsample (in which
x=0) matched the characteristics of the first subsample (x=1) on the
other dimensions (e,g age and size).
For instance, if I take the subsample x=1, mean of age = 37, mean of size=45.
I would like to randomly select the second subsample (x=0), so that
mean of age = 37, mean of size=45 as it is the case in the first
subsample (x=1).

Do you have any suggestions on how I could achieve such result in stata?

Thank you very much in advance for all your help!!!
Kind Regards
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