Comparing outcomes of men and women with the same observables

[Lucy Kraftman]

Hello, I am having trouble thinking of a strategy for my analysis.

I have a large panel sample of men and women who are applying to universities. I have a lot of observables about the individuls (grades, age, race, opinions, etc). I also have a lot of detail on the universities they apply to (quality, ranking, % of women they take in and so on). How am I able to see if men and women who have the same observables (e.g. same grades, same, age, same background) apply to different standards of universities?

Thanks in advance!

[Carlo Lazzaro]

Lucy:
interacting might be an approach (assuming you go -xtreg, re-):

 xtreg <depvar> <othercontrols> gender##(i.grade c.age i.background)

[Maarten Buis]

My first association is propensity score matching. There are various ways of doing that, but a good place to start in Stata would be help teffects intro