1. bookVolume 16 (2017): Issue 3 (December 2017)
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A Logistic Regression/Markov Chain Model for American College Football

Published Online: 29 Dec 2017
Page range: 185 - 196
Journal Details
License
Format
Journal
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English
Copyright
© 2020 Sciendo

Kvam and Sokol developed a successful logistic regression/Markov chain (LRMC) model for ranking college basketball teams part of Division I of the National Colligate Athletic Association (NCAA). In their 2006 publication, they illustrated that the LRMC model is one of the most successful ranking systems in predicting the outcome of the NCAA Division I Basketball Tournament. However, it cannot directly be extended to college football because of the lack of home-and-home matchups that LRMC exploits in performing its Logistic Regression. We present a common-opponents-based approach that allows us to perform a Logistic Regression and thus create a football LRMC (F-LRMC) model. This approach compares the margin of victory of home teams to their winning percentage in games played against common-opponents with the away team. Computational results show that F-LRMC is among the best of the many ranking systems tracked by Massey's College Football Ranking Composite.

Keywords

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