The Impact of Foreign Players in the English Premier League: A Mathematical Analys

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Autori principali: Chattopadhyay, Amit K, Abdul, A., Jain, Sudhir
Natura: Preprint
Pubblicazione: 2024
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author Chattopadhyay, Amit K
Abdul, A.
Jain, Sudhir
author_facet Chattopadhyay, Amit K
Abdul, A.
Jain, Sudhir
contents We undertake extensive analysis of English Premier League data over the period 2009/10 to 2017/18 to identify and rank key factors affecting the economic and footballing performances of the teams. Alternative end-of-season league tables are generated by re-ranking the teams based on five different descriptors - total expenditure, total funds spent on players, total funds spent on foreign players, the ratio of foreign to British players and the overall profit. The unequal distribution of resources and expenditure between the clubs is analyzed through Lorenz curves. A comparative analysis of the differences between the alternative tables and the conventional end-of-season league table establishes the most likely factors to influence the performances of the teams that we also rank using Principal Component Analysis. We find that the top teams in the league are also those that tend to have the highest expenditure overall, for all players, including foreign players; they also have the highest ratios of foreign to British players. Our statistical and machine learning study also indicates that successful performance on the field may not guarantee healthy profits at the end of the season.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19285
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Impact of Foreign Players in the English Premier League: A Mathematical Analys
Chattopadhyay, Amit K
Abdul, A.
Jain, Sudhir
Other Statistics
Statistical Mechanics
We undertake extensive analysis of English Premier League data over the period 2009/10 to 2017/18 to identify and rank key factors affecting the economic and footballing performances of the teams. Alternative end-of-season league tables are generated by re-ranking the teams based on five different descriptors - total expenditure, total funds spent on players, total funds spent on foreign players, the ratio of foreign to British players and the overall profit. The unequal distribution of resources and expenditure between the clubs is analyzed through Lorenz curves. A comparative analysis of the differences between the alternative tables and the conventional end-of-season league table establishes the most likely factors to influence the performances of the teams that we also rank using Principal Component Analysis. We find that the top teams in the league are also those that tend to have the highest expenditure overall, for all players, including foreign players; they also have the highest ratios of foreign to British players. Our statistical and machine learning study also indicates that successful performance on the field may not guarantee healthy profits at the end of the season.
title The Impact of Foreign Players in the English Premier League: A Mathematical Analys
topic Other Statistics
Statistical Mechanics
url https://arxiv.org/abs/2407.19285