[complex_exp]

I've always had a problem with admission rates, since they obviously depend on self-selection (and supply of schools).

Germany is a good example here, they have a wide spectrum of schools starting already past primary education (around 10 years old). Many of those schools, those of the "mid" and especially "lower" rank do not bash into children's heads that they absolutely must go to a good university or they will be a failure. As a result those kids do not apply there, instead they go into internships and get a job. Overall there is a continuum that a) reduces pressure on people that probably shouldn't study medicine or law, b) gives better education to talented children by putting them together in more aligned groups.

Crucially, the admission to those schools past age of 10 is not zip-code based. Admitting children by zip-code past the very first school where you learn how to sit, read, write and multiply numbers is nonsense.

A process like this will result in a higher university admission rate, all else being equal, including the "true difficulty" of getting into a specific university.

[naveen99]

Just go with national / global pool for the denominator. There are about 4 million high school graduation age children in the usa. Probably about 80-100 million world wide. About 20000 ivy league spots per year. So you need to be about one of 5 in a 1000 in the usa. Maybe 1 in a 1000 globally after adding global equivalents of us Ivy League schools. basically top 0.1 to 0.5 %.