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Managerial Evaluation of Professional Sports

I have a paper under review at a journal where I (along with my co-author) provided theoretical verification for applying the Pythagorean Won-Loss formula to hockey. Originally devised for baseball, the Pythagorean Won-Loss formula estimates the percentage of games a team should have won at a particular point in a season. For decades, this formula had no mathematical justification from first principles. In 2006, the second author provided a statistical derivation by making some heuristic assumptions about the distributions of runs scored and allowed by baseball teams.