Bradley-Terry Rankings: Introduction to Logistic Regression

In a recent post, we identified the Colley Matrix methodology for ranking NBA teams. The methodology provided insight but abused the originating statistical construct in an effort to enforce a correlated, solvable, set of equations to identify a “probability” of winning. Unfortunately, we witnessed that not only were those statistical assumptions violated, but the resulting…

Statistics of Colley’s Ranking Methodology

In 2002, Wes Colley (Princeton) developed a methodology that became a part of College Football BCS rankings lore: The Colley Method. In his original paper, 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 is identified as a ranking…