<p>To EVER say that one school is better then the other just because one was rejected in x school and was accepted to y school is ignorant, when you speak in terms of ivy leagues. Ivy league acceptance is purely luck, even if you have tremendous skills. </p>
<p>But none-the-less, Columbia is better then MIT/Caltech, well even in personal opinion and stats. Columbia is more generally well prepared (though lacking when compared to MIT/Caltech in math and engineering), while MIT/Caltech are more engineering/math prepared then any other schools. That’s why many who apply to HYPC don’t apply to MIT/Caltech.</p>