You have, in fact, provided no proof that family income isn't ordered that way as a result of SAT scores.
Precisely my point. By my reading it appears that the only empirical evidence for race-based discrimination (an extraordinarily grave accusation) is something that could just as easily be explained by factors other than racism.
But this is no defense of those elite institutions, mind you. I'd even go so far as to make an exception and tax the staggering returns on their endowments.
http://harvardmagazine.com/2011/09/harvard-endowment-rises-t...
Assuming a college wants to admit a student with high "intelligence" or intellectual potential, which cannot be measured directly.
If high income causes high SAT, and high intelligence also causes high SAT, then (low income, high SAT) may well indicate much higher intellectual potential than (high income, high SAT)
If high income and SAT are both caused by high intelligence, then there is less (intelligence-related) reason to prefer (high income, low SAT) or (low income, high SAT).
I'd be interested in a break up of admission statistics, SAT scores, race and family income for the Ivies. because I'm not entirely convinced that just because SAT scores follow family income in the general population, the trends are exactly the same among admitted students.
http://www.nytimes.com/2011/05/25/business/economy/25leonhar...