Testing and ranking on round-robin design for data sport analytics with application to basketballs. (February 2019)

• Record Type: Journal Article
• Authors: Corain, Livio; Arboretti, Rosa; Ceccato, Riccardo; Ronchi, Fabrizio; Salmaso, Luigi
• Other Names: Groll Andreas guest-editor.; Manisera Marica guest-editor.; Schauberger Gunther guest-editor.; Zuccolotto Paola guest-editor.
• Is Part Of: Statistical modelling. Volume 19:Number 1(2019)
• Page Start: 5
• Page End: 27
• Publication Date: 2019-02
• Subjects: permutation tests -- p-value combination -- union-intersection principle -- nonparametric combination -- sport performances; Linear models (Statistics) -- Periodicals; Mathematical models -- Periodicals; Modèles linéaires (Statistique) -- Périodiques; Modèles mathématiques -- Périodiques; Modèle statistique; Modèle linéaire; Modélisation statistique; Périodique électronique (Descripteur de forme); Ressource Internet (Descripteur de forme); 519.5011
• DOI: 10.1177/1471082X18808630
• Languages: English
• ISSNs: 1471-082X

Abstract

By modelling results of sport matches as a set of paired fixed effect linear models, the goal of the present article is showing that traditional scoring outputs can be used to do inference on parameters related to the net relative strength or weakness of teams within a league. As hypothesis testing method, we propose either a normal-based and a non-parametric permutation-based approach. As an extension to round-robin of the ranking methodology recently proposed byArboretti Giancristofaro et al. (2014) andCorain et al. (2016), results of pairwise testing are then exploited to provide a ranking of teams within a league. Through an extensive Monte Carlo simulation study, we investigated the properties of the proposed testing and ranking methodology where we proved its validity under different random distributions. In its simplest univariate version, the proposed methodology allows us to infer on the teams average net scoring within a league, while in its more intriguing multivariate layout it is suitable for looking for any team-related global dominance using a wide set of performance indicators. Finally, by using traditional basketball box scores, we present an application to the Italian Basket League.