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A Bridge from Monty Hall to the Hot Hand: Restricted Choice, Selection Bias, and Empirical Practice

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  • Miller, Joshua Benjamin

    (The University of Melbourne)

  • Sanjurjo, Adam

Abstract

We show how classic conditional probability puzzles, such as the Monty Hall problem, are intimately related to the hot hand selection bias. We explain the connection by way of the principle of restricted choice, an intuitive inferential rule from the card game bridge, which we show is naturally quantified as the updating factor in the odds form of Bayes Rule. We illustrate how, just as the experimental subject fails to use available information to update correctly when choosing a door in the Monty Hall problem, researchers may neglect analogous information when designing experiments, analyzing data, and interpreting results.

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  • Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "A Bridge from Monty Hall to the Hot Hand: Restricted Choice, Selection Bias, and Empirical Practice," OSF Preprints dmgtp_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:dmgtp_v1
    DOI: 10.31219/osf.io/dmgtp_v1
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