论文标题
足球的不对称：传球悖论
Asymmetries in football: The pass-goal paradox
论文作者
论文摘要
我们研究了足球队进行的通过数量与进球数量之间的关系。我们分析了西班牙国家联赛“ Laliga”（2018/2019）的完整赛季的380场比赛。我们观察到得分目标的数量与团队的传球数量呈正相关。这样，本赛季结束时排名的顶部（底部）的球队比其他球队的球队都会更少（少）传球。但是，当分析根据比赛部分进行时，我们会观察到强烈的不对称性。有趣的是，在比赛的第二部分进行的传球更少，同时，进球得分。这个悖论出现在大多数团队中，它与所做的通行证次数无关。这些结果证实，在传球方面，比赛的第一部分的目标比第二半得分更“昂贵”。
We investigate the relation between the number of passes made by a football team and the number of goals. We analyze the 380 matches of a complete season of the Spanish national league "LaLiga" (2018/2019). We observe how the number of scored goals is positively correlated with the number of passes made by a team. In this way, teams on the top (bottom) of the ranking at the end of the season make more (less) passes than the rest of the teams. However, we observe a strong asymmetry when the analysis is made depending on the part of the match. Interestingly, fewer passes are made on the second part of a match while, at the same time, more goals are scored. This paradox appears in the majority of teams, and it is independent of the number of passes made. These results confirm that goals in the first part of matches are more "costly" in terms of passes than those scored on second halves.
