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Journal of Quantitative Analysis in Sports

Editor-in-Chief: Glickman, Mark

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The Individual Factors of Successful Free Throw Shooting

Allan Z. Maymin1 / Philip Z. Maymin2 / Eugene Shen3

1AllianceBernstein

2NYU-Polytechnic Institute

3AllianceBernstein

Citation Information: Journal of Quantitative Analysis in Sports. Volume 8, Issue 3, ISSN (Online) 1559-0410, DOI: 10.1515/1559-0410.1414, October 2012

Publication History

Published Online:
2012-10-09

This article offers supplementary material which is provided at the end of the article.

Abstract

We use three-dimensional optical tracking data on the 25-frames-per-second positional data of 2,400 free throw shots by the twenty players with at least twelve tracked makes and twelve tracked misses over the course of the 2010-2011 NBA season, fit each trajectory to a comprehensive physics model to find the implied backspin, initial launch height, velocity, angle, and left-right deviation, and examine the differences of those five factors between makes and misses for each player with sufficient attempts in our sample. We find that usually one or two factors are most responsible for a given player’s misses, but the particular factors at fault differ across players. Thus, the causes of successes and failures in free throw shooting are idiosyncratic. This framework may also be useful in analyzing jump shots taken during the game.

Keywords: free throws; physics; trajectories; shooting; success; NBA

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