Non-parametric procedure for knockout tournaments

Christopher Todd Edwards

Journal of Applied Statistics, 1998, vol. 25, issue 3, 375-385

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.

Date: 1998
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DOI: 10.1080/02664769823106

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