Presentation Title

A Nontransitive Paradox in the Nonparametric Setting

Presentation Type

Oral Presentation

Abstract

In statistics, when performing a nonparametric test on multiple samples, a nontransitive paradox can emerge. For example, given three samples we might find that sample A performs better than sample B, B performs better than C, but C performs better than A. We discuss this phenomenon using the example of a set of "nontransitive dice" and explore how to resolve the paradox by using a reference die.

Start Date

6-5-2017 9:45 AM

End Date

6-5-2017 10:00 AM

Location

Miller Hall

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May 6th, 9:45 AM May 6th, 10:00 AM

A Nontransitive Paradox in the Nonparametric Setting

Miller Hall

In statistics, when performing a nonparametric test on multiple samples, a nontransitive paradox can emerge. For example, given three samples we might find that sample A performs better than sample B, B performs better than C, but C performs better than A. We discuss this phenomenon using the example of a set of "nontransitive dice" and explore how to resolve the paradox by using a reference die.