STA305H1 Lecture Notes - Lecture 3: Wine Tasting, Major League Baseball, National Institute Of Justice
18 Jan 2018
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Document Summary
Suppose that we have k items that we want to rank based on the outcomes of binary com- parisons between pairs of items. Examples include sports competitions (where we want to rank teams or players based on the outcomes of games), wine tasting, and network routing. In a sports competition involving k teams, it may not be feasible to have a balanced schedule where each teams plays the other k 1 teams an equal number of times. Therefore, in ranking the teams, we should take into account not only the number of wins by a given team but also the strength of its opponents. What complicates the computation of strength ratings s1, , sk using this formulation is the dependence of each team"s strength rating on those of the other k 1 teams. The colley matrix method was developed by wesley colley1 as a means of ranking.
