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Functional ratings in sports

  • Brad Lowery EMAIL logo , Abigail Slater and Kaison Thies
Published/Copyright: August 2, 2020

Abstract

In this paper, we present a new model for ranking sports teams. Our model uses all scoring data from all games to produce a functional rating by the method of least squares. The functional rating can be interpreted as a team average point differential adjusted for strength of schedule. Using two team’s functional ratings we can predict the expected point differential at any time in the game. We looked at three variations of our model accounting for home-court advantage in different ways. We use the 2018–2019 NCAA Division 1 men’s college basketball season to test the models and determined that home-court advantage is statistically important but does not differ between teams.


Corresponding author: Brad Lowery, Department of Mathematics, University of Sioux Falls, 1101 W 22nd St, Sioux Falls, 57105-1699, SD, USA,

Funding source: University of Sioux Falls Natural Science Research Fellowship Grant

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This research was funded by the University of Sioux Falls Natural Science Research Fellowship Grant.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-01-02
Accepted: 2020-06-07
Published Online: 2020-08-02
Published in Print: 2020-09-25

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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