I really wonder the admit criteria of Yale. I see many applicants who got Wharton and Chicago's interviews, but not Yales. I think there are maybe two reasons1)Yale has totally different admit criteria from Wharton or Chicago. (2) To increase its yield rate, Yale tends to deny those who are most likely to be admitted by Magic 7.
I think how to express who you are in only about 1200 words is the most challenge for Yale. And that is the difference between Yale and the others. And no one knows who the "M7" would admit.