HYPS and other ivies, what are their strong points?

<p>I know it's prestigious to get into an ivy league school and all, but what are their strong points? For instance, I want to go to a school with a fantastic science program. Which of the following schools would be good for this? I know some are noted mostly for certain fields of science, can people tell me which fields too? </p>

<p>Harvard
Yale
Princeton
Stanford
Cornell
Columbia
Princeton
Brown
Dartmouth</p>

<p>Thanks for all your time, in advance.</p>