It is hard to compare just the 2 schools. You need to look into specific programs even just for the fame. For instance, students want to study engineering, there is really not a second thought to choose UMich over Yale.
My D choose UMich over Northwestern for engineering with no regret even both are great school for that and the latter is more prestigious. When both schools are affordable and have good programs, the school that fits the student most would be the main consideration.