These are interesting stats but they don't actually mean anything unless you can prove that the applicant pools for Caltech and Berkeley are similar to that of MIT. It's entirely possible, that Caltech and Berkeley have a higher proportion of Asian applications. It's also possible that underrepresented minorities that could be admitted to Caltech or Berkeley pick Harvard or Princeton because they're more well-regarded and more diverse. I wouldn't be surprised. Elite schools compete for the same kids.