多样性是关键：预算约束下的梦幻足球梦之队
Diversity is Key: Fantasy football dream teams under budget constraints
AI总结：
本研究基于英超梦幻足球数据，在预算约束下寻找最高得分球队，发现顶级球队在关键变量上呈现多样性，并开发了数据缩减算法。
摘要：
给定球员薪资的固定预算，得分最高的球队的薪资分布是怎样的？我们利用英超梦幻足球（足球）的大量数据研究了这个问题。利用过去几个赛季的球员数据，针对多个赛季和多种不同的预算约束，我们确定了每个赛季在每种预算约束下得分最高的梦幻球队。然后，我们研究了这些球队的可量化特征。有趣的是，在几乎所有对足球比赛和预算有显著影响的变量上，这些顶级球队在这些变量上表现出多样性。此外，随机组建的球队在统计上不会表现出这些变量上的这种多样性。我们的结果表明，这些变量（包括薪资）的多样性是表现最佳球队的一般特征。此外，在获得这些结果的过程中，我们开发了一种数据清洗（或数据缩减）算法，大幅减少了需要分析的数据量。
英文摘要：
Given a fixed budget for player salaries, what is the distribution of salaries of the top scoring teams? We investigated this question using the wealth of data available from fantasy premier league football (soccer). Using the players' data from past seasons, for several seasons and several different budget constraints, we identified the highest scoring fantasy team for each season subject to each budget constraint. We then investigated quantifiable characteristics of these teams. Interestingly, across nearly every variable that is significant to the game of football and the budget, these top teams display diversity across these variables. Furthermore, randomly assembled teams would statistically \em not \em display such diversity across these variables. Our results indicate that diversity across these variables, including salaries, is a general feature of top performing teams. Moreover, in the process of obtaining these results we developed a data cleaning (or data reduction) algorithm that drastically reduced the amount of data to be analyzed.
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。
