Yale School of Management, New Haven, CT, United States of America.
Universidad de Chile, Santiago, Chile.
PLoS One. 2020 Dec 30;15(12):e0243786. doi: 10.1371/journal.pone.0243786. eCollection 2020.
In sequential competitions, the order in which teams take turns may have an impact on performance and the outcome. Previous studies with penalty shootouts have shown mixed evidence of a possible advantage for the first shooting team. This has led to some debate on whether a change in the rules of the game is needed. This work contributes to the debate by collecting an extensive dataset of shootouts which corroborates an advantage for the first shooter, albeit with a smaller effect than what has been documented in previous research. To evaluate the impact of alternative ordering of shots, we model shootouts as a probability network, calibrate it using the data from the traditional ordering, and use the model to conduct counterfactual analysis. Our results show that alternating the team that shoots first in each round would reduce the impact of ordering. These results were in part developed as supplement to field studies to support the International Football Association Board's (IFAB) consideration of changing the shooting order.
在顺序竞赛中,团队轮流的顺序可能会对表现和结果产生影响。之前有关点球大战的研究表明,先射球队可能具有一定优势,但证据不一。这引发了一些关于是否需要改变比赛规则的争论。本研究通过收集广泛的点球大战数据集,为这一争论做出了贡献,该数据集证实了先射球员具有优势,尽管其效果小于之前研究中记录的效果。为了评估替代射门顺序的影响,我们将点球大战建模为一个概率网络,使用传统顺序的数据对其进行校准,并使用该模型进行反事实分析。我们的结果表明,在每轮比赛中交替先射球队的顺序将降低顺序的影响。这些结果部分是作为对现场研究的补充,以支持国际足球协会理事会(IFAB)考虑改变射门顺序。