random forests;
football;
FIFA World Cups;
Poisson regression;
regularization;
POISSON MODEL;
REGRESSION;
SELECTION;
REGULARIZATION;
SCORES;
D O I:
10.1177/1471082X18799934
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
Many approaches that analyse and predict results of international matches in football are based on statistical models incorporating several potentially influential covariates with respect to a national team's success, such as the bookmakers' ratings or the FIFA ranking. Based on all matches from the four previous FIFA World Cups 2002-2014, we compare the most common regression models that are based on the teams' covariate information with regard to their predictive performances with an alternative modelling class, the so-called random forests. Random forests can be seen as a mixture between machine learning and statistical modelling and are known for their high predictive power. Here, we consider two different types of random forests depending on the choice of response. One type of random forests predicts the precise numbers of goals, while the other type considers the three match outcomes-win, draw and loss-using special algorithms for ordinal responses. To account for the specific data structure of football matches, in particular at FIFA World Cups, the random forest methods are slightly altered compared to their standard versions and adapted to the specific needs of the application to FIFA World Cup data.
机构:
Walter & Eliza Hall Inst Med Res, Div Mol Med, Melbourne, Vic 3050, Australia
Univ Melbourne, Dept Med Biol, Melbourne, Vic 3050, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Blewitt, Marnie E.
;
Gendrel, Anne-Valerie
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Gendrel, Anne-Valerie
;
Pang, Zhenyi
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Pang, Zhenyi
;
Sparrow, Duncan B.
论文数: 0引用数: 0
h-index: 0
机构:
Univ New S Wales, Victor Chang Cardiac Res Inst, Sydney, NSW 2010, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Sparrow, Duncan B.
;
Whitelaw, Nadia
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, Australia
Univ Queensland, Sch Med, Brisbane, Qld 4072, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Whitelaw, Nadia
;
Craig, Jeffrey M.
论文数: 0引用数: 0
h-index: 0
机构:
Murdoch Childrens Res Inst, Parkville, Vic 3052, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Craig, Jeffrey M.
;
Apedaile, Anwyn
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Apedaile, Anwyn
;
Hilton, Douglas J.
论文数: 0引用数: 0
h-index: 0
机构:
Walter & Eliza Hall Inst Med Res, Div Mol Med, Melbourne, Vic 3050, Australia
Univ Melbourne, Dept Med Biol, Melbourne, Vic 3050, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Hilton, Douglas J.
;
Dunwoodie, Sally L.
论文数: 0引用数: 0
h-index: 0
机构:Queensland Inst Med Res, Brisbane, Qld 4006, Australia
Dunwoodie, Sally L.
;
Brockdorff, Neil
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Brockdorff, Neil
;
Kay, Graham F.
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Kay, Graham F.
;
Whitelaw, Emma
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
机构:
Georg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Tech Univ Dortmund, Fak Stat, Dortmund, Nordrhein Westf, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Groll, Andreas
;
Kneib, Thomas
论文数: 0引用数: 0
h-index: 0
机构:
Georg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Kneib, Thomas
;
Mayr, Andreas
论文数: 0引用数: 0
h-index: 0
机构:
Friedrich Alexander Univ Erlangen Nurnberg, Inst Med Informat Biometrie & Epidemiol, Erlangen, Bavaria, Germany
Univ Hosp Bonn, WG Stat Methods Epidemiol, Inst Med Biometrie Informat & Epidemiol, Bonn, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Mayr, Andreas
;
Schauberger, Gunther
论文数: 0引用数: 0
h-index: 0
机构:
Ludwig Maximilians Univ Munchen, Dept Stat, Munich, Bavaria, Germany
Tech Univ Munich, Dept Sport & Hlth Sci, Chair Epidemiol, Munich, Bavaria, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
机构:
Walter & Eliza Hall Inst Med Res, Div Mol Med, Melbourne, Vic 3050, Australia
Univ Melbourne, Dept Med Biol, Melbourne, Vic 3050, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Blewitt, Marnie E.
;
Gendrel, Anne-Valerie
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Gendrel, Anne-Valerie
;
Pang, Zhenyi
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Pang, Zhenyi
;
Sparrow, Duncan B.
论文数: 0引用数: 0
h-index: 0
机构:
Univ New S Wales, Victor Chang Cardiac Res Inst, Sydney, NSW 2010, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Sparrow, Duncan B.
;
Whitelaw, Nadia
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, Australia
Univ Queensland, Sch Med, Brisbane, Qld 4072, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Whitelaw, Nadia
;
Craig, Jeffrey M.
论文数: 0引用数: 0
h-index: 0
机构:
Murdoch Childrens Res Inst, Parkville, Vic 3052, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Craig, Jeffrey M.
;
Apedaile, Anwyn
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Apedaile, Anwyn
;
Hilton, Douglas J.
论文数: 0引用数: 0
h-index: 0
机构:
Walter & Eliza Hall Inst Med Res, Div Mol Med, Melbourne, Vic 3050, Australia
Univ Melbourne, Dept Med Biol, Melbourne, Vic 3050, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Hilton, Douglas J.
;
Dunwoodie, Sally L.
论文数: 0引用数: 0
h-index: 0
机构:Queensland Inst Med Res, Brisbane, Qld 4006, Australia
Dunwoodie, Sally L.
;
Brockdorff, Neil
论文数: 0引用数: 0
h-index: 0
机构:
Univ London Imperial Coll Sci Technol & Med, MRC, Ctr Clin Sci, London SW7 2AZ, England
Univ London Imperial Coll Sci Technol & Med, MRC, Fac Med, London SW7 2AZ, EnglandQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Brockdorff, Neil
;
Kay, Graham F.
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
Kay, Graham F.
;
Whitelaw, Emma
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Brisbane, Qld 4006, AustraliaQueensland Inst Med Res, Brisbane, Qld 4006, Australia
机构:
Georg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Tech Univ Dortmund, Fak Stat, Dortmund, Nordrhein Westf, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Groll, Andreas
;
Kneib, Thomas
论文数: 0引用数: 0
h-index: 0
机构:
Georg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Kneib, Thomas
;
Mayr, Andreas
论文数: 0引用数: 0
h-index: 0
机构:
Friedrich Alexander Univ Erlangen Nurnberg, Inst Med Informat Biometrie & Epidemiol, Erlangen, Bavaria, Germany
Univ Hosp Bonn, WG Stat Methods Epidemiol, Inst Med Biometrie Informat & Epidemiol, Bonn, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany
Mayr, Andreas
;
Schauberger, Gunther
论文数: 0引用数: 0
h-index: 0
机构:
Ludwig Maximilians Univ Munchen, Dept Stat, Munich, Bavaria, Germany
Tech Univ Munich, Dept Sport & Hlth Sci, Chair Epidemiol, Munich, Bavaria, GermanyGeorg August Univ Gottingen, Dept Stat & Econometr, Gottingen, Niedersachsen, Germany