I read your quote from that article, and reached a few conclusions:
First Conclusion:
In Knorr's final three years the Bobcats averaged 3.33 wins. The last 3 years they averaged 9 wins. That is an increase of 5.67 wins. If $1 million is supposed to buy .8 wins, then the expected cost of 5.67 wins is $7 million. In trying to find the budgets, I was left with some confusing and incomplete data. I found that In 2008 the total Athletic budget was $20.3 million. In 2010 it was $22.9million. On the other hand, I found this old
data that breaks the spending down by sport. In the year in that report $3.8 of the $15 million athletic budget was spent on football, roughly one fourth of the total budget. It doesn't say what year is it for, but with a total budget of $15 million, it may be about 2004 or so.
If that percentage of the total budget spent on football remains at about 1/4, then the budget today is probably about $5.75 million on football. Note, though, that revenue on football is also up since 2004, but let's ignore that for the moment, and just look at costs Adjusted for inflation, the $3.8 million would be $4.6 million. Thus the increased spending on football is about $1.2 million, yet it has produced as much benefit as you'd expect to see if $7 million was spent. Even if the increase is larger than the $1.2 million I calculate, obviously they have done a lot with a little.
Second Conclusion:
The data says that a $1 million addition to spending should produce $109,000 in contributions, 108 additional applications, and an increase in the average SAT score of 1.4. Note that that is for .8 wins. However, given that the football team has actually increased wins by 5.67, that should mean an increase in contributions of $763,000, an extra 756 applications, and an increase in incoming SAT score of 9.8 points. If, in fact the cost was about $1.2 million, and it really did produce these benefits, those benefits alone may justify it. After you factor in revenue increases, it may be a pretty obvious benefit because I would guess that revenue is up by at least $.5 million.
Third Conclusion:
Results matter. If the teams were winning only 4-5 games a year, it would be hard to justify any extra spending. That's obviously part of why non-performing coaches get the boot so quickly.
Final Conclusion:
Its fine to talk about what might happen. What actually has happened? That's where the rubber meets the road. What actually has happened to Ohio's applications over the last few years? To giving? To incoming SAT? How do changes in these compare to other similar institutions? If there is no difference, then those that argue that football produces benefits in these areas are going to have to explain why none is seen. If there is a big jump, then opponents of spending need to consider whether the evidence justifies toning down their views.