Randomness, uncertainty, and the optimal college football championship tournament size

(Zufälligkeit, Ungewissheit und die optimale Größe eines College-Football-Turniers)

Every year, there is a popular debate over how many teams should take part in the NCAA`s FBS-level college football championship tournament, and especially whether it should be expanded from 4 teams to 8 or even 12. The inherent tradeoff is that the larger the tournament, the higher the probability that the true best team is included ("validity"), but the lower the probability that the true best team will avoid being upset and win the tournament ("effectiveness"). Using simulation based on empirically-derived estimates of the ability to measure true team quality and the amount of randomness inherent in each game, we show that the effect of expanding the tournament to 8 teams could be very small, an effectiveness decrease of only 2-3% while increasing validity by 1-4%, while a 7-team tournament provides slightly better tradeoffs. A 12-team tournament would decrease effectiveness by 5-6%.
© Copyright 2023 Journal of Sports Analytics. IOS Press. Alle Rechte vorbehalten.

Bibliographische Detailangaben
Schlagworte:
Notationen:Spielsportarten Organisationen und Veranstaltungen
Veröffentlicht in:Journal of Sports Analytics
Sprache:Englisch
Veröffentlicht: 2023
Online-Zugang:https://doi.org/10.3233/JSA-220613
Jahrgang:9
Heft:1
Seiten:1-37
Dokumentenarten:Artikel
Level:hoch