Or if you look at non-ivy school Duke as an example:
Duke : Cornell 82%:18%
Cornell is a great university. But at the same time, Penn is much more favored by students.
Wharton has higher reputation than Penn (Higher rep =/= "better known")
Cornell has much better rep than its own Dyson college.
Wharton>Penn>Cornell>Dyson
Wharton vs Dyson, isn't the choice clear?