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How to Catch a Tiger: Understanding Putting Performance on the PGA TOUR

机译:如何抓住老虎:了解如何将表现放在pGa巡回赛上

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摘要

Existing performance metrics utilized by the PGA TOUR have biases towards specific styles of play, which make relative player comparisons challenging. Our goal is to evaluate golfers in a way that eliminates these biases and to better understand how the best players maintain their advantage.Through a working agreement with the PGA TOUR, we have obtained access to proprietary ShotLink data that pinpoints the location of every shot taken on the PGA TOUR. Using these data, we develop distance-based models for two components of putting performance: the probability of making the putt and the remaining distance to the pin conditioned on missing. The first is modeled through a logistic regression, the second through a gamma regression. Both models fit the data well and provide interesting insights into the game. Additionally, by describing the act of putting using a simple Markov chain, we are able to combine these two models to characterize the putts-to-go for the field from any distance on the green for the PGA TOUR. The results of this Markov model match both the empirical expectation and variance of putts-to-go.We use our models to evaluate putting performance in terms of the strokes or putts gained per round relative to the field. Using this metric, we can determine what portion of a player s overall performance is due to advantage (or loss) gained through putting, and conversely, what portion of the player s performance is derived off the green. We demonstrate with examples how our metric eliminates significant biases that exist in the PGA TOUR s Putting Average statistic. Lastly, extending the concept of putts gained to evaluate player-specific performance, we show how our models can be used to quickly test situational hypotheses, such as differences between putting for par and birdie and performance under pressure.
机译:PGA TOUR使用的现有性能指标偏向于特定的比赛风格,这使得相对的球员比较具有挑战性。我们的目标是评估高尔夫球手的方式,以消除这些偏见并更好地了解最佳球员如何保持优势。通过与PGA TOUR的合作协议,我们可以获得专有的ShotLink数据,这些数据可精确确定每次射击的位置在PGA TOUR上。利用这些数据,我们为推杆性能的两个组成部分开发了基于距离的模型:推杆的概率和以遗失为条件的到销的剩余距离。第一个通过逻辑回归建模,第二个通过伽马回归建模。两种模型都很好地拟合了数据,并提供了有趣的游戏见解。此外,通过描述使用简单的马尔可夫链进行的推杆动作,我们能够将这两个模型结合起来,以在PGA TOUR的果岭上任意距离上表征球场的推杆。马尔可夫模型的结果与推杆的预期经验和方差相吻合。我们使用我们的模型来评估推杆性能,以相对于田地的每轮击球或推杆数为依据。使用此度量,我们可以确定球员的整体表现的哪一部分是归功于通过推杆获得的优势(或损失),反之,球员的表现的哪一部分是从果岭上推导出来的。我们通过示例演示了我们的指标如何消除PGA TOUR的推杆平均值统计中存在的重大偏差。最后,扩展推杆的概念来评估特定球员的表现,我们展示了如何使用我们的模型快速测试情况假设,例如标准杆和小鸟推杆之间的差异以及压力下的表现。

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