Computer generated track and field scoring tables: II. Theoretical foundation and development of a model.

Area of Science:

• Sports Science
• Athletic Performance Measurement
• Computational Athletics

Background:

• Historical development of track and field scoring tables reviewed.
• Need for objective performance evaluation in athletics.
• Limitations of existing scoring systems identified.

Purpose of the Study:

• To develop a theoretical foundation for track and field scoring tables.
• To create a mathematical model for calculating performance scores.
• To establish guidelines for constructing effective scoring tables.

Main Methods:

• Development of a mathematical model incorporating an exponential term.
• Introduction of a 'zero offset' for low-level performance boundaries.
• Utilizing computational methods for table generation and output.

Main Results:

• A robust mathematical model for athletic scoring tables was established.
• The model provides a framework for quantifying performance quality across track and field events.
• Guidelines for consistent and effective scoring table construction were defined.

Conclusions:

• The developed mathematical model offers a scientifically sound basis for track and field scoring.
• Computer application is crucial for efficient calculation and output of performance scoring tables.
• The model aims to improve the objective assessment of athletic achievements.