足球中的不对称：传球-进球悖论
Asymmetries in football: The pass-goal paradox
摘要：
我们研究了一个足球队的传球次数和进球数之间的关系。我们分析了西班牙国家联赛“LaLiga”（2018/2019）完整赛季的380场比赛。我们观察到进球的数量与球队的传球数量呈正相关。这样，在赛季结束时排名靠前（后）的球队比其他球队传球更多（更少）。然而，当根据比赛的部分进行分析时，我们观察到很强的不对称性。有趣的是，在比赛的第二部分，传球较少，而同时进球较多。这个悖论出现在大多数球队中，它与传球的数量无关。这些结果证实，在比赛的第一部分的目标是更“昂贵”的传球方面比那些在下半场得分。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
