Validating rankings in soccer championships

Abstract

ABSTRACT. The final ranking of a championship is determined by quality attributes combined with other factors which should be filtered out of any decision on relegation or draft for upper level tournaments. Factors like referees' mistakes and difficulty of certain matches due to its accidental importance to the opponents should have their influence reduced. This work tests approaches to combine classification rules considering the imprecision of the number of points as a measure of quality and of the variables that provide reliable explanation for it. Two home-advantage variables are tested and shown to be apt to enter as explanatory variables. Independence between the criteria is checked against the hypothesis of maximal correlation. The importance of factors and of composition rules is evaluated on the basis of correlation between rank vectors, number of classes and number of clubs in tail classes. Data from five years of the Brazilian Soccer Championship are analyzed.

Performance analysis of professional soccer goalkeepers by Composition of Probabilistic Preferences

“…saves, clean sheets and goals conceded). Other applications of CPP aimed at evaluating soccer championships and teams are found in the sports literature (Sant'Anna et al, 2010;Sant'Anna and de Mello, 2012).…”

“…MCDA methods are adequate tools to evaluate satisfactory solutions to the problem, considering the inexistence of an optimal alternative that performs perfectly under all criteria. CPP has also been applied to similar problems of assessing individual and collective performance in football (Gavião et al, 2020(Gavião et al, , 2017Príncipe et al, 2017;Sant'Anna et al, 2010;Sant'Anna and de Mello, 2012).…”

Composição probabilística de preferências com abordagem empírica em problemas multicritério

“…The second stage refers to the choice of a probability distribution that is identified or even assumed as characteristic of the disturbances, having as location parameters the exact values. This procedure of "randomization" of the exact values can employ different distributions of probabilities (Sant'Anna & Conde, 2011;Sant'Anna & Mello, 2012;Sant'Anna, 2015b;Sant'Anna et al, 2015b).…”

“…The preferences of appraisers in multi-criteria issues are modeled with empirical probabilities, without assuming a random behavior by continuous probability distributions as proposed by Sant'Anna (2015a) and Abbas (2006). A summary review of the literature indicates that CPP has modeled issues with uniform probability distributions (Sant'Anna & Conde, 2011;Sant'Anna et al, 2012a), normal (Sant'Anna, 2013;Sant'Anna et al, 2015a), triangular (Sant'Anna & Silva, 2011;Treinta et al, 2014), Pareto (Caillaux et al, 2011;Sant'Anna & Mello, 2012) and Beta (Maciel, 2015;Sant'Anna, 2015b;Sant'Anna et al, 2015b), with applications in the most diverse areas of knowledge. In this context, the use of empirical probabilities constitutes a contribution for applying the CPP method.…”

Standards for the Weighting of Criteria and the Measurement of Interaction

“…granting antisymmetry. However, the trichotomic pairwise comparison approach avoids the requirement for transitivity [27]. Transitivity need not hold, generally, in the evaluation of preferences.…”