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Are football referees really biased and inconsistent?: evidence on the incidence of disciplinary sanction in the English Premier League
Authors:Peter Dawson  Stephen Dobson  John Goddard  John Wilson
Institution:University of Bath, UK; University of Otago, Dunedin, New Zealand; University of Wales, Bangor, UK; University of St Andrews, UK
Abstract:Summary.  The paper presents a statistical analysis of patterns in the incidence of disciplinary sanction (yellow and red cards) that were taken against players in the English Premier League over the period 1996–2003. Several questions concerning sources of inconsistency and bias in refereeing standards are examined. Evidence is found to support a time consistency hypothesis, that the average incidence of disciplinary sanction is predominantly stable over time. However, a refereeing consistency hypothesis, that the incidence of disciplinary sanction does not vary between referees, is rejected. The tendency for away teams to incur more disciplinary points than home teams cannot be attributed to the home advantage effect on match results and appears to be due to a refereeing bias favouring the home team.
Keywords:Bivariate negative binomial regression  Bivariate Poisson regression  English Premier League football  Refereeing bias and inconsistency
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