Abstract

If the Warriors beat the Rockets and the Rockets beat the Spurs, does that mean that the Warriors are better than the Spurs? Sophisticated fans would argue that the Warriors are better by the transitive property, but could Spurs fans make a legitimate argument that their team is better despite this chain of evidence?

We first explore the nature of intransitive (rock-scissors-paper) relationships with a graph theoretic approach to the method of paired comparisons framework popularized by Kendall and Smith (1940). Then, we focus on the setting where all pairs of items, teams, players, or objects have been compared to one another twice (i.e., home and away). We propose a novel linear model (CRSP) whose latent bilinear fixed effect allows us to estimate deviations from our transitive model (C).

Degree Date

Winter 2019

Document Type

Dissertation

Degree Name

Ph.D.

Department

Statistical Science

Advisor

Ian Richard Harris

Second Advisor

Sara Lynne Stokes

Third Advisor

Cornelis Jacobus Potgieter

Fourth Advisor

Paul Xavier Uhlig

Fifth Advisor

Eric Cooper Larson

Sixth Advisor

Daniel Francis Heitjan

Subject Area

Computer Science, Statistics

Number of Pages

177

Format

.pdf

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Available for download on Sunday, December 12, 2021

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