You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Symmetric Sequential Analysis: The Efficiencies of Sports Scoring Systems (with Particular Reference to those of Tennis)
Roger E. Miles
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 46, No. 1 (1984), pp. 93-108
Stable URL: http://www.jstor.org/stable/2345467
Page Count: 16
You can always find the topics here!Topics: Tennis, Games, Sequential analysis, Sports, Ratios, Probabilities, Table tennis, Statism, Entropy, Lead
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Bernoulli-type models are adopted for the sequence of contested points between two players (or teams). In bipoints, there are two types of point--"A serving" and "B serving"--necessary for a realistic model of top (class) men's tennis. Unipoints is the special case of bipoints in which the probabilities that A (and hence B) wins each type of point are the same--a reasonable model for top men's squash rackets. Sports scoring systems based upon such play ("uniformats" and "biformats") may be regarded as sequential statistical tests concerning the identity of the "better player". Provided they satisfy certain fairness criteria, these tests are symmetric, with equal probabilities of type I and II error, and a unique efficiency ρ; then formally 1 - ρ represents the average fraction of play being virtually wasted through the use of a suboptimal scoring system. Largely because in top men's tennis the proportions of service points won by both players are so high, the efficiency of traditional tennis scoring in such play is unduly low. Whilst the introduction of tiebreaker games has further reduced efficiency, it is shown how a simple entropy-increasing modification of the traditional scoring system serves to increase efficiency.
Journal of the Royal Statistical Society. Series B (Methodological) © 1984 Royal Statistical Society