Binary segmentation procedures using the bivariate binomial distribution for detecting streakiness in sports data
Seong W. Kim,
Sabina Shahin,
Hon Keung Tony Ng and
Jinheum Kim ()
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Seong W. Kim: Hanyang University
Sabina Shahin: Karakoram International University
Hon Keung Tony Ng: Southern Methodist University
Jinheum Kim: University of Suwon
Computational Statistics, 2021, vol. 36, issue 3, No 14, 1843 pages
Abstract:
Abstract Streakiness is an important measure in many sports data for individual players or teams in which the success rate is not a constant over time. That is, there are many successes/failures during some periods and few or no successes/failures during other periods. In this paper we propose a Bayesian binary segmentation procedure using a bivariate binomial distribution to locate the changepoints and estimate the associated success rates. The proposed method consists of a series of nested hypothesis tests based on the Bayes factors or posterior probabilities. At each stage, we compare three different changepoint models to the constant success rate model using the bivariate binary data. The proposed method is applied to analyze real sports datasets on baseball and basketball players as illustration. Extensive simulation studies are performed to demonstrate the usefulness of the proposed methodologies.
Keywords: Bayes factor; Changepoint analysis; Model selection; Posterior probability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:compst:v:36:y:2021:i:3:d:10.1007_s00180-020-00992-2
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DOI: 10.1007/s00180-020-00992-2
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