Abstract
Football outcomes are often used to illustrate violations of transitivity because, if team A beats team B, and if team B beats team C, there is no guarantee that team C will not beat team A. In the Big Ten Conference, every team played every other team in 1983, providing a complete test of transitivity of the football teams. The conference was very nearly transitive in 1983, with only one violation involving adjacent teams with weak records.
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Coombs, C. (1983). Mathematics and psychology. Ann Arbor: University of Michigan Press.
Coombs, C., Dawes, R., & Tversky, A. (1970). Introduction to mathematical psychology. Englewood Cliffs, NJ: Prentice-Hall.
Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of measurement. New York: Academic Press.
McDonald, J. (1983, November 20). NU coach Green: No upsets in Big Ten season. The Champaign-Urbana News Gazette, p. E-2.
Tversky, A. (1969). Intransitivity of preference. Psychological Review, 76, 31–48.
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Birnbaum, M.H. Transitivity in the Big Ten. Bull. Psychon. Soc. 22, 351–353 (1984). https://doi.org/10.3758/BF03333840
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DOI: https://doi.org/10.3758/BF03333840