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Predicting the NCAA basketball tournament using isotonic least squares pairwise comparison model
| Content Provider | Scilit |
|---|---|
| Author | Neudorfer, Ayala Rosset, Saharon |
| Copyright Year | 2018 |
| Abstract | Each year, millions of people fill out a bracket to predict the outcome of the popular NCAA men’s college basketball tournament, known as March Madness. In this paper we present a new methodology for team ranking and use it to predict the NCAA basketball tournament. We evaluate our model in Kaggle’s March Machine Learning Mania competition, in which contestants were required to predict the results of all possible games in the tournament. Our model combines two methods: the least squares pairwise comparison model and isotonic regression. We use existing team rankings (such as seeds, Sagarin and Pomeroy ratings) and look for a monotonic, non-linear relationship between the ranks’ differences and the probability to win a game. We use the isotonic property to get new rankings that are consistent with both the observed outcomes of past tournaments and previous knowledge about the order of the teams. In the 2016 and 2017 competitions, submissions based on our methodology consistently placed in the top 5% out of over 800 other submissions. Using simulations, we show that the suggested model is usually better than commonly used linear and logistic models that use the same variables. |
| Related Links | http://www.degruyter.com/downloadpdf/j/jqas.ahead-of-print/jqas-2018-0039/jqas-2018-0039.xml |
| Ending Page | 183 |
| Page Count | 11 |
| Starting Page | 173 |
| ISSN | 21946388 |
| e-ISSN | 15590410 |
| DOI | 10.1515/jqas-2018-0039 |
| Journal | Journal of Quantitative Analysis in Sports |
| Issue Number | 4 |
| Volume Number | 14 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2018-11-27 |
| Access Restriction | Open |
| Subject Keyword | Journal of Quantitative Analysis in Sports Operations Research and Management Science Least Squares Pairwise Comparison Multivariate Isotonic Regression Ranking Journal: Journal of Quantitative Analysis in Sports, Vol- 14 |
| Content Type | Text |
| Resource Type | Article |
| Subject | 3300/3301 1800/1801 |
