A Mathematical Decision-Making Framework for Athlete Development in a Collegiate Taekwondo Community: Prioritizing Coaching Interventions Using Statistical Analysis and the Analytic Hierarchy Process

Authors

• King Harold A. Recto, Ateneo de Manila UniversityFollow
• Hazel Jade L. Antonio, University of the Philippines DilimanFollow
• Jhyrald Anthony P. Dalida, University of the Philippines DilimanFollow

Document Type

Conference Proceeding

Publication Date

7-29-2026

Abstract

Athlete development within collegiate sports communities requires informed decisions regarding the prioritization of coaching interventions and allocation of developmental resources. However, such decisions are frequently guided by experience and intuition, limiting opportunities for systematic and evidence-based decision-making. This study develops a mathematical decision-making framework for athlete development by integrating statistical analysis and the Analytic Hierarchy Process (AHP) within a collegiate taekwondo community. Data were collected from 25 collegiate taekwondo athletes who satisfied established eligibility criteria, including participation in University Athletic Association of the Philippines (UAAP) competitions during the previous three seasons. Athletes evaluated coaching practices across five dimensions: Training and Instruction, Democratic Behavior, Autocratic Behavior, Social Support, and Positive Feedback. Athlete performance was measured using individual win percentage.

Descriptive and inferential statistical analyses were employed to identify relationships between coaching dimensions and performance outcomes. The resulting statistical indicators were subsequently incorporated into an AHP-based mathematical model to generate priority weights and rank coaching interventions according to their relative contribution to athlete development. The proposed framework transforms athlete-performance data into actionable decision metrics that support evidence-based coaching decisions, developmental planning, and resource allocation within the collegiate taekwondo community. Furthermore, the framework establishes a quantitative decision model that converts performance indicators into prioritized intervention recommendations, providing the mathematical foundation for future coaching analytics platforms, intelligent recommendation systems, and human-centered performance optimization applications. Beyond its application in sports, the study demonstrates how mathematics, multi-criteria decision analysis, and quantitative modeling can be utilized to address community-development challenges and support data-informed decision-making. The findings highlight the social relevance of mathematics in empowering communities through evidence-based intervention prioritization and strategic planning.

Recommended Citation

Recto, K. H. A., Antonio, H. J. L., & Dalida, J. A. P. (2026, July 29–31). A mathematical decision-making framework for athlete development in a collegiate taekwondo community: Prioritizing coaching interventions using statistical analysis and the analytic hierarchy process [Paper presentation]. 2026 MTAP-TL Annual Convention, General Santos City, Philippines. https://archium.ateneo.edu/