There are a few other checks that should be done; for example, what is the distribution of the birth dates of all the people in the countries/cities/hospitals/whatever that your chosen sample of astronomers were born in (over some suitable time interval)?

But, as Eckleston already pointed out, you also need to be very clear, ahead of making the selections and doing the tests, exactly how you will do the selecting, and exactly what tests you will be making.