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Ridge Regression for Paired Comparisons: A Tractable New Approach, with Application to Premier League Football

Ridge Regression for Paired Comparisons: A Tractable New Approach, with Application to Premier League Football

Paired comparison models, such as Bradley-Terry and Thurstone-Mosteller, are commonly used to estimate relative strengths of pairwise compared items in tournament-style datasets. With predictive performance as primary criterion, we discuss estimation of paired comparison models with a ridge penalty. A new approach is derived which combines empirical Bayes and composite …