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Soccer goal distributions in K-league

K-리그에서 축구 골의 분포

  • Received : 2014.07.25
  • Accepted : 2014.09.02
  • Published : 2014.11.30

Abstract

In this paper we analyse the distributions of the number of goals scored by home teams and away teams in K-league soccer outcomes between 1983 and 2012. Real soccer data is explained in K-league using statistical distributions such that Poisson, negative binomial, extreme value and zero inflated Poisson. How close the goals of home and away fits the different distributions are tested by performing chi-square goodness of fit tests. According to these tests, the Poisson distribution gives the best fit to the home goals data. But it is best to model the away goals data on zero inflated Poisson distribution. Also, there is some weak evidence of the dependence for home and away goals.

본 연구에서는 1983년부터 2012년까지의 한국프로축구 K-리그 전 경기 결과를 이용하여 홈 경기와 원정 경기에서의 골의 분포를 분석하였다. 고려된 확률분포는 포아송분포, 음이항분포, 극단치분포 및 영과잉 포아송분포이며, 카이제곱분포를 이용한 적합도검정을 수행하였다. 그 결과 홈경기는 포아송분포, 원정경기는 영과잉 포아송분포가 골의 분포를 위한 최적 적합분포로 간주되며 홈경기와 원정경기 골의 수는 서로 약한 정도의 상관관계가 있는 것으로 나타났다.

Keywords

References

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