Another friend sent me a message this past week in response to my last article. He noted that the same regressions could possibly be deciphered for college athletics if there were only a way to monetize a salary. Since “students don’t receive payment to attend a particular university”, I had to find another salary. This led me to research head coach salaries for FBS schools.
Luckily, I was able to find data for this year and the last three years’—thanks mostly to USA Today’s Coaches Salary Database—worth of data. I then took that data and arranged it alongside the wins, winning percentages and SRS numbers for each team. (SRS data supplied by www.sports-reference.com/cfb)
Once I had everything sorted out and aligned, I was then able to run some correlation tests on each of the sets of data and found some interesting things.
- SRS data—because football-reference.com is so amazing—has an 87.4 percent correlation with win percentage.
- Head Coach Compensation only has about a 41.5 percent correlation with winning percentage. It is also more negatively correlated to points allowed than it is to points scored. Maybe this means that money can only buy good defense, on average?
- Compensation has a 68 percent correlation with SRS. This was significant, and seeing as SRS had a high correlation with WPCT, I decided that I could use this route Compensation–>SRS Rating–>Win Percentage. That made the computations much simpler.
- Seeing that the correlation with compensation was still lower than, say, a more acceptable rate of 85 percent, I decided to add in a trend factor. When running a regression for trend on WPCT and Wins I didn’t feel that either correlation rated high enough from year to year. So, I went back to SRS and found that it had an 86.7 correlation rate from year to year SRS.
- Once I arrived at projected data for wins and SRS (from both the Compensation and Trend data) I was able to then give a weighted (2:1 Trend) average of each university.
- These numbers are based off of current head coach salaries as well as five year trend data for SRS statistics. Not all schools had reported HC salary—mostly the private universities—and for them I took simply the weighted average of the two projected win trends.
- The below chart details a “Top 25” of projected wins based on the noted data pools.
Rank | School | Conf. | Weighted
Average Wins |
Projected
Wins (HC Salary) |
Projected
Wins (Trend) |
Projected
SRS (HC Salary) |
Projected
SRS (Trend) |
1 | Ohio State | Big Ten | 12 | 9 | 14 | 10.93 | 26.69 |
2 | Alabama | SEC | 12 | 10 | 12 | 14.25 | 20.93 |
3 | Mississippi | SEC | 11 | 9 | 13 | 7.71 | 23.86 |
4 | Stanford | Pac 12 | 11 | — | 11 | — | 16.38 |
5 | Clemson | ACC | 11 | 9 | 12 | 7.96 | 19.82 |
6 | Michigan State | Big Ten | 11 | 9 | 12 | 8.86 | 18.63 |
7 | Baylor | Big 12 | 10 | — | 10 | — | 14.67 |
8 | Florida State | ACC | 10 | 9 | 11 | 9.48 | 16.94 |
9 | Texas Christian | Big 12 | 10 | — | 10 | — | 14.36 |
10 | Mississippi State | SEC | 10 | 9 | 11 | 7.71 | 17.27 |
11 | UCLA | Pac 12 | 10 | 9 | 11 | 7.84 | 17.15 |
12 | Auburn | SEC | 10 | 9 | 11 | 9.48 | 15.55 |
13 | Southern California | Pac 12 | 10 | — | 10 | — | 12.45 |
14 | Oklahoma | Big 12 | 10 | 9 | 10 | 10.85 | 12.68 |
15 | Tennessee | SEC | 10 | 9 | 10 | 7.71 | 13.96 |
16 | Notre Dame | Ind. | 10 | — | 10 | — | 11.52 |
17 | Georgia | SEC | 10 | 9 | 10 | 8.19 | 13.11 |
18 | Washington | Pac 12 | 10 | 9 | 10 | 8.19 | 12.86 |
19 | Utah | Pac 12 | 9 | 8 | 10 | 5.75 | 13.91 |
20 | Oregon | Pac 12 | 9 | 8 | 10 | 3.98 | 14.34 |
21 | Duke | ACC | 9 | — | 9 | — | 10.21 |
22 | Louisville | ACC | 9 | 9 | 9 | 8.42 | 11.07 |
23 | Arkansas | SEC | 9 | 8 | 10 | 7.20 | 11.64 |
24 | Memphis | AAC | 9 | 6 | 11 | -1.72 | 15.75 |
25 | Louisiana State | SEC | 9 | 9 | 9 | 10.42 | 9.14 |
The below chart is a look at how the SEC would fare this year according to this compiled data.
EAST | Weighted
Average Wins W’s |
Projected
Wins (HC Salary) |
Projected
Wins (Trend) |
Projected
SRS (HC Salary) |
Projected
SRS (Trend) |
Tennessee | 10 | 9 | 10 | 7.71 | 13.96 |
Georgia | 10 | 9 | 10 | 8.19 | 13.11 |
Florida | 9 | 9 | 9 | 8.42 | 8.58 |
Missouri | 8 | 9 | 8 | 7.84 | 5.18 |
South Carolina | 7 | 9 | 6 | 9.48 | -2.20 |
Kentucky | 7 | 8 | 6 | 4.92 | -2.02 |
Vanderbilt | 4 | — | 4 | — | -7.52 |
WEST | Weighted
Average Wins W’s |
Projected
Wins (HC Salary) |
Projected
Wins (Trend) |
Projected
SRS (HC Salary) |
Projected
SRS (Trend) |
Alabama | 12 | 10 | 12 | 14.25 | 20.93 |
Mississippi | 11 | 9 | 13 | 7.71 | 23.86 |
Mississippi State | 10 | 9 | 11 | 7.71 | 17.27 |
Auburn | 10 | 9 | 11 | 9.48 | 15.55 |
Arkansas | 9 | 8 | 10 | 7.20 | 11.64 |
Louisiana State | 9 | 9 | 9 | 10.42 | 9.14 |
Texas A&M | 9 | 10 | 9 | 11.25 | 7.83 |