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Activity Number: 573
Type: Contributed
Date/Time: Wednesday, August 6, 2014 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Sports
Abstract #311368 View Presentation
Title: Bringing the Heat
Author(s): Jared Cross*+ and Dana Sylvan
Companies: Hunter College and Hunter College
Keywords: baseball ; heat maps ; spatial interpolation ; Monte Carlo simulations ; random fields
Abstract:

In baseball, heat maps, which visualize a batter's ability across regions in and around the strike zone play an important role in baseball commentary and scouting reports. We simulate the stochastic process underlying these heat maps as a spatial Gaussian field with isotropic covariance. Spatial interpolation (kriging) relies on the covariance parameters assumed to be known, but in reality they are estimated from the same data. Our simulation study helps to understand and explain the spatial dependence of the process, thus allowing us to produce heat maps that more accurately represent batters' true ability.


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