The binomial-match, outcome uncertainty, and the case of netball

Baker, R ORCID: https://orcid.org/0000-0003-3555-3425, Chadwick, S ORCID: https://orcid.org/0000-0003-1158-4243, Parma, R and Scarf, P ORCID: https://orcid.org/0000-0001-5623-906X 2021, 'The binomial-match, outcome uncertainty, and the case of netball' , Journal of the Operational Research Society, 73 (8) , pp. 1856-1872.

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Abstract

We introduce the binomial-match as a model for the bivariate score in a paired-contest. This model is naturally associated with sports in which the restart alternates following a goal. The model is a challenger to the Poisson-match, a pair of independent Poisson random variables whose means are related to the strengths of the competing teams. We use the binomial-match primarily to study the relationship between outcome uncertainty and scoring-rate, particularly for high values of the scoring-rate. Netball has a high scoring-rate and motivates our model development. In the binomial-match framework, we also evaluate rule-variations, and study tactical play in netball. Our analysis suggests that the binomial-match is not a better forecaster than the Poisson-match, but it is better for representing outcome uncertainty and evaluating rule-variations and tactics. In general, we find that the binomial-match implies greater outcome uncertainty than the Poisson match, for a given scoring-rate, and that an alternating-restart is a good rule for reducing the frequency of tied outcomes. For netball in particular, we show that starting the final quarter with possession in a close, balanced match may confer a significant advantage.

Item Type: Article
Schools: Schools > School of Health and Society
Journal or Publication Title: Journal of the Operational Research Society
Publisher: Informa UK Limited
ISSN: 1476-9360
SWORD Depositor: Publications Router
Depositing User: Publications Router
Date Deposited: 10 Oct 2022 13:15
Last Modified: 10 Oct 2022 13:15
URI: https://usir.salford.ac.uk/id/eprint/65018

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