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Round-Robin Tournament Scores

H. E. Daniels
Biometrika
Vol. 56, No. 2 (Aug., 1969), pp. 295-299
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334422
Stable URL: http://www.jstor.org/stable/2334422
Page Count: 5
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Round-Robin Tournament Scores
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Abstract

Some methods of scoring players in a round-robin tournament are proposed, based on a concept of fair allocation of rewards to each player. The scores are related to those determined by a previously suggested principle of `consistency'. The scoring systems lead to the πi's of the Bradley-Terry model, and they have desirable ranking properties in the case of a general linear model. Various other properties of the scores are described.

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