A Forward-Looking Approach to Compare Ranking Methods for Sports

In this paper, we provide a simple forward-looking approach to compare rating methods with respect their stability over time. Given vector of entities involved in the comparison and ranking indicated by rating, is measured change ranks time from perspective. We investigate various linear algebraic use Euclidean distance Kendall tau rank correlation measure ranking, respectively. The investigations are based on both rolling expanding window approaches. apply methodology sports as widely known environment. results suggest that PageRank Massey better than methods, such winning percentage, more advanced ones, Colley’s least square Keener’s eigenvector-based method. Finally, way examine potential predictive power also provided.