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

Genre/Form

presentations (communicative events)

Subjects - Topical (LCSH)

Paradox--Mathematics; Science

Type

Event

Format

application/pdf

Language

English

This document is currently not available here.

COinS
 
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.