Combinatorial models of cross-country dual meets: what is a big victory?-Reference-Cited by-同舟云学术

Combinatorial models of cross-country dual meets: what is a big victory?

Published:2019-08-01 Issue:4 Volume:15 Page:345-356
ISSN:1559-0410
Container-title:Journal of Quantitative Analysis in Sports
language:en
Short-container-title:

Author:

Riedel Kurt S.¹

Affiliation:

1. Millennium Partners , 666 Fifth Ave , New York, NY 10103 , USA

Abstract

Abstract Combinatorial/probabilistic models for cross-country dual-meets are proposed. The first model assumes that all runners are equally likely to finish in any possible order. The second model assumes that each team is selected from a large identically distributed population of potential runners and with each potential runner’s ranking determined by the initial draw from the combined population.

Publisher

Walter de Gruyter GmbH

Subject

Decision Sciences (miscellaneous),Social Sciences (miscellaneous)

Reference12 articles.

1. Boudreau, J. W. and S. Sanders. 2015. “Choosing “Flawed” Aggregation Rules: The Benefit of Social Choice Violations in a League that Values Competitive Balance.” Economics Letters 137:106–108.

2. Boudreau, J., J. Ehrlich, S. Sanders, and A. Winn. 2014. “Social Choice Violations in Rank Sum Scoring: A Formalization of Conditions and Corrective Probability Computations.” Mathematical Social Sciences 71:20–29.

3. Boudreau, J., J. Ehrlich, M. F. Raza, and S. Sanders. 2018. “The Likelihood of Social Choice Violations in Rank Sum Scoring: Algorithms and Evidence from NCAA Cross Country Running.” Public Choice 174:219–238.

4. Conover, William J. 1980. Practical Nonparametric Statistics, (2nd Edition), pp. 252–256, John Wiley and Sons. https://onlinepubs.trb.org/onlinepubs/nchrp/cd-22/manual/v2chapter6.pdf.

5. Hammond, T. H. 2007. “Rank Injustice?: How the Scoring Method for Cross-Country Running Competitions Violates Major Social Choice Principles.” Public Choice 133:359–375.