Uncommon
Bradley–Terry model
Statistical model for pairwise comparisons
Bradley–Terry model
The Bradley–Terry model is a probability model for the outcome of pairwise comparisons between items, teams, or objects. Given a pair of items i and j drawn from some population, it estimates the probability that the pairwise comparison i > j turns out true, as where pi is a positive real-valued score assigned to individual i. The comparison i > j can be read as "i is preferred to j", "i ranks higher than j", or "i beats j", depending on the application. For example, pi might represent the skill of a team in a sports tournament and Pr ( i > j ) {\displaystyle \Pr(i>j)} the probability that i wins a game against j. Or pi might represent the quality or desirability of a commercial product and Pr ( i > j ) {\displaystyle \Pr(i>j)} the probability that a consumer will prefer product i over product j. The Bradley–Terry model...
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