In thinking about the various college rankings, and their flaws, I came up with the following concept: divide the Yield by the Admissions Rate. Perhaps this has been suggested before, but I haven't seen it.
The yield is an indicator of student selection amongst accepted students. When divided by the admissions rate, it normalizes for how selective the school is in choosing their students. The result is fascinating. For example, Harvard is 79% yield / 8% acceptance rate = 9.88. Princeton is 59/10 = 5.9, etc.
In looking through this, it is not surprising in many places, but there are a few very interesting "shifts" from standard rankings.
1. This is NOT a comprehensive list. I have listed 55 schools that I selected to test this out, mostly amongst the most selective with a few less selective schools scattered in to see how this works lower down the USNWR scale. Perhaps someone with access to a database of all the yields/admission rates could make a more complete list.
2. I used the College P*Rowler percentages, which have no decimal digits. A more accurate result could be obtained from the actual numbers of accepted/attending students from the Common Data Sets.
3. I hand copied these and didn't check the numbers, so it is possible that I made an error or two.
Here they are, with the ratio
University of Pennsylvania 3.71
Washington and Lee 2.47
Claremont McKenna 2.11
Notre Dame 2.00
New York University 1.37
Washington University 1.36
Johns Hopkins 1.15
Boston College 1.04
Harvey Mudd 1.00
Carnegie Mellon 0.79
Mt. Holyoke 0.60
Boston University 0.36