A Binary-Entropy Analysis of the Relationship Between Scoring Structure and Match Outcome in Badminton

Abstract

This study explores the relationship between the scoring structure and the win or loss of a badminton match, while providing quantitative analytic data using binary entropy to determine the uncertainty of said win or loss. Scoring structure data were collected from the official match records of the top 16 events of the World Badminton Championships from 2006 to 2020 (a total of 10 editions) as collection objects (745 matches and 1,734 sets in all) and were analyzed by means of notational analysis. Our entropy analysis showed that the main factor affecting the certainty of win or loss in men’s singles, men’s doubles and mixed doubles comes from the number of leading points, and in women’s singles and women’s doubles from whether the current point is closer to the match point. Our binary-entropy analysis based on scoring structure showed that, to maintain high uncertainty so that players stay competitive, the scoring points of two sides should differ in less than 5; in addition, the decisive factors for victory strongly depend on gender, also justifying research results of previous studies.

Exploring the Relationship Between Key Factors and Victory and Defeat in Volleyball Matches using Bayesian Network Modeling

“…In contrast, defeat often stems from deficiencies in these areas, compounded by errors in execution, lapses in concentration, and an inability to counteract opponents' strategies effectively [6]. Ultimately, in the dynamic and fiercely competitive realm of volleyball, victory emerges from a harmonious fusion of skill, strategy, teamwork, and determination, while defeat often reflects shortcomings in these critical elements [7]. Exploring the intricate relationship between key factors and victory or defeat in volleyball matches can be effectively analyzed through Bayesian network modeling.…”