On the Probability of Winning with Different Tournament Procedures
作者:
DonaldT. Searls,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1963)
卷期:
Volume 58,
issue 304
页码: 1064-1081
ISSN:0162-1459
年代: 1963
DOI:10.1080/01621459.1963.10480688
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Paired comparisons among competing items are analogous to games between contestants and the process of determining the winning item amongtcontestants is analogous to a tournament. In this paper four different types of tournaments are investigated for the eight-player case. Expressions are developed for (1) the probability that each player wins and (2) the expected number of games required. Examples are presented for comparison of tournament types and to study the effects of (a) the initial draw, (b) mis-classification when usinga prioriinformation in initial pairing, and (c) “byes.” Some generalizations in terms of number of players and replication are developed.
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