arXiv 12 Nov 2019 · Statistics — Applications · publishedJournal of Quantitative Analysis in Sports (2019)
arXiv:1911.05044 · PDF · DOI · OpenAlex · Extracted main text
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.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | 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 | 0.511 | 2 | 1 | 100% |
| 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 | 0.511 | 2 | 1 | 100% |
| 3 | Hammond, T. H (2007) Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles | 0.511 | 2 | 1 | 100% |
| 4 | Boudreau, J. W. and S. Sanders (2015) Choosing “flawed” aggregation rules: The benefit of social choice violations in a league that values competitive balance | 0.405 | 1 | 1 | 100% |
| 5 | Conover, William J (1980) Practical Nonparametric Statistics, John Wiley and Sons, (2nd Edition), pp | 0.405 | 1 | 1 | 100% |
| 6 | Huntington, E. V (1938) A paradox in the scoring of competing teams | 0.405 | 1 | 1 | 100% |
| 7 | Lehman, E.L (2006) Nonparametrics: Statistical methods based on ranks New York:Springer | 0.405 | 1 | 1 | 100% |
| 8 | Mann, H. B. and D. R. Whitney (1947) "On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other." Annals of Mathematical Statistics. 1… | 0.405 | 1 | 1 | 100% |
| 9 | Mixon Jr, F. G. and E. W. King (2012) Social choice theory in 10,000 meters: Examining independence and transitivity in the NCAA cross-country championships | 0.405 | 1 | 1 | 100% |
| 10 | National Federation of State High School Associations (2016) -17 Participation Survey Results, http://www.nfhs.org/ParticipationStatistics | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 12 scored citations.