Nice work. Thanks.
So what does this tell us about the value of an All American? I'll use the AP poll as a proxy for value. The latest poll lists 39 schools getting votes. The values set range from 825 (UConn) down to 1 (three-way tie between Michigan State, Vanderbilt, and UNLV). Of those 39 schools, 23 have one or more AAs and 16 have none.
A logical method of comparison would be to divide the points a team garners by the number of AAs on the roster. The problem is immediately apparent. For schools with no AAs the divisor would be zero and everybody knows that's a "no-no." Let's forge ahead anyway and see what happens.
Beginning with the 23 schools that received votes and had AA(s), we can see that Florida State leads that pack with 208 pts/AA (625 points, 3 AAs). A close second is UConn at 206 pts/AA (825 points, 4 AAs). A complete list is as follows:
Florida State 208
Connecticut 206
Oklahoma 187
South Carolina 164
Washington 163
Syracuse 162
UCLA 141
Stanford 130
Baylor 127
Maryland 124
Louisville 96
Notre Dame 96
Ohio State 85
Oregon 75
Kentucky 63
Texas 45
Duke 31
Florida 23
California 15
Northwestern 10
Southern California 5
Michigan State 1
Vanderbilt 1
Next, looking at those schools getting votes without an AA, certainly any such school garnering more than 208 points should be considered above the schools in the above list. Leading that parade is Mississippi State, 676 pts., Miami, 415 pts., West Virginia, 405 pts., Colorado, 286 pts., and DePaul, 225 pts. The full list of schools without an AA gernering points is as follows:
Mississippi State 676
Miami 415
West Virginia 406
Colorado 286
DePaul 225
South Florida 153
Arizona State 137
Virginia Tech 112
Oregon State 68
Greem Bay 49
Kansas State 44
Oklahoma State 15
Texas A&M 9
Auburn 7
Gonzaga 4
UNLV 1
Lastly are the ten schools with AA(s) but without points in the poll. Leading that futility is Tennessee with 6 AAs followed by North Carolina and Penn State with 2 each. Also included are Arkansas, Georgia, Harvard, Kansas, Loyola Marymount, Missouri and Rutgers with 1 each.
There are 49 schools evaluated. 23 have both AAs and points in the poll. 16 have points in the poll but no AAs. 10 have AAs but no points. Team poll values range from 1 to 825. Team All Americans range from 0 to 8. The correlation coefficient between the number of All Americans and total points for those 49 schools is slightly less than .6. Modest at best. Certainly not of statistical significance. Simply put, there's a whole lot more to basketball success than recruiting All Americans.