My 2010 NCAA Tournament Rating Methods

On March 21st I presented some work on rating college basketball teams with an emphasis on estimating win probabilities in future games at SIAM-SEAS 2010. You can download the following presentation for more details of the methods:

Estimating the Probability of Winning a College Basketball Game

In this presentation I look at two ways of modeling college basketball team efficiency data: net efficiency per game (linear regression) and the number of points a team scores on a possession (multinomial logistic regression).

These models allow you to estimate various probabilities of events, and the table below lists estimates for each team’s chances of winning the 2010 NCAA tournament:

Team Linear Multinomial
Duke 58.9% 51.7%
West Virginia 18.1% 19.9%
Michigan St 14.0% 16.9%
Butler 8.9% 11.5%

Both of these models estimate that Duke has a better chance of winning the tournament than the experts estimate, so take these estimates for what they’re worth: imperfect estimates of reality that agree that Duke should be the favorite to win the tournament.

The presentation goes better with an explanation, so post in the comments if you’ve got any questions about what I’m doing with the data.

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