Expected Points Above Average: A Novel NBA Player Metric Based on Bayesian Hierarchical Modeling

Abstract

Team and player evaluation in professional sport is extremely important given the financial implications of success/failure. It is especially critical to identify and retain elite shooters in the National Basketball Association (NBA), one of the premier basketball leagues worldwide because the ultimate goal of the game is to score more points than one's opponent. To this end we propose two novel basketball metrics: "expected points" for team-based comparisons and "expected points above average (EPAA)" as a player-evaluation tool. Both metrics leverage posterior samples from Bayesian hierarchical modeling framework to cluster teams and players based on their shooting propensities and abilities. We illustrate the concepts for the top 100 shot takers over the last decade and offer our metric as an additional metric for evaluating players.