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
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.