Abstract
Multinomial response modeling is still in debate, with numerous parametric and nonparametric methods being popular. We investigate a tiered logistic regression technique that can handle complex functional forms while still maintaining a parametric framework. Using our model, we find the value of different plays in the NFL. We apply these results to ranking NFL quarterbacks and compare our rankings to the rankings found using the NFL quarterback rating. The main application of this article is to a sports topic, but our model could be used in any polychotomous regression setting.
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