The Colley Matrix is a computer-generated sports rating system designed by Dr. Wesley Colley. It is one of more than 40 polls, rankings, and formulas recognized by the NCAA in its list of national champion selectors in college football. In his initial paper at Princeton University, Colley states, "The method is based on very simple statistical principles, and uses only Div. I-A wins and losses as input — margin of victory does not matter. The scheme adjusts effectively for strength of schedule, in a way that is free of bias toward conference, tradition, or region." Colley claims that his method is bias free for estimating the ranking of a team given a particular schedule. The resulting values for each team are identified as a ranking, thus being a realization of Pierre-Simon Laplace’s Rule of Succession. More information...
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