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Statistical Modeling to Inform Optimal Game Strategy: Markov Plays H-O-R-S-E

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  • Thaddeus Tarpey
  • R. Todd Ogden

Abstract

We illustrate practical uses of logistic regression and Markov chains by applying these concepts to the problem of developing optimal strategy in the popular basketball game of H-O-R-S-E. Based on data collected by the authors, we estimate model parameters for each author, describe strategies of optimizing each author’s probability of winning, and calculate the stationary distribution of a Markov chain that arises from the game.

Suggested Citation

  • Thaddeus Tarpey & R. Todd Ogden, 2016. "Statistical Modeling to Inform Optimal Game Strategy: Markov Plays H-O-R-S-E," The American Statistician, Taylor & Francis Journals, vol. 70(2), pages 181-186, May.
    • Handle: RePEc:taf:amstat:v:70:y:2016:i:2:p:181-186
    DOI: 10.1080/00031305.2016.1148629
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