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Non-parametric procedure for knockout tournaments

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  • Christopher Todd Edwards

Abstract

In a seeded knockout tournament, where teams have some preassigned strength, do we have any assurances that the best team in fact has won? Is there some insight to be gained by considering which teams beat which other teams solely examining the seeds? We pose an answer to these questions by using the difference in the seeds of the two players as the basis for a test statistic. We offer several models for the underlying probability structure to examine the null distribution and power functions and determine these for small tournaments (less than five teams). One structure each for 8 teams and 16 teams is examined, and we conjecture an asymptotic normal distribution for the test statistic.

Suggested Citation

  • Christopher Todd Edwards, 1998. "Non-parametric procedure for knockout tournaments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(3), pages 375-385.
    • Handle: RePEc:taf:japsta:v:25:y:1998:i:3:p:375-385
    DOI: 10.1080/02664769823106
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    References listed on IDEAS

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    1. Jeff Horen & Raymond Riezman, 1985. "Comparing Draws for Single Elimination Tournaments," Operations Research, INFORMS, vol. 33(2), pages 249-262, April.
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    Cited by:

    1. Edward H. Kaplan & Stanley J. Garstka, 2001. "March Madness and the Office Pool," Management Science, INFORMS, vol. 47(3), pages 369-382, March.

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