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Biometrika 1969 56(2):295-299; doi:10.1093/biomet/56.2.295
© 1969 by Biometrika Trust
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Round-robin tournament scores

H. E. DANIELS

University of Birmingham

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 {pi}i'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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