Parity and Predictability of Competitions

Parity and Predictability of Competitions

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from season-end standings data and quantify the predictability of games by the frequency of upsets from game results data. We introduce a novel mathematical model in wh...

Parity law for population dynamics of N-species with cyclic advantage competitions

COMPETITIONS Robot Competitions : What Did We Learn ?

Competitions and mathematics education

Mathematics competitions, together with the people and organizations engaged with them, form an immense and vibrant global network today. This network has many roles. Competitions help identify students with higher abilities in mathematics. They motivate these students to develop their talents and to seek professional realization in science. Competitions have positive impact on education and on...

Parity and Predictability in the National Football League Final Write-up Siddharth Patel

Predicting the outcome of National Football League games is a staple of American sports culture and a significant component of the multi-billion dollar sports betting industry. The NFL prides itself on the perception of parity, the idea that any team can beat any other on ”any given Sunday.” In this paper, I apply machine learning techniques to team performance statistics in order to predict th...