pingpong
US Table Tennis Association Data
Description
The parameterized data frame (pframe) pingpong summarizes
the data from 3017 table tennis matches taken from eight tournaments
as the rating of the winner, the rating of the loser,
the difference of their ratings, and the average of their ratings.
Details
Data:
winner
the rating of the winner.
loser
the rating of the loser.
Match
which of eight tournaments the data is taken from.
D
the difference between the rating of the winner and that of the loser,
i.e., winner - loser.
Level
the average of the ratings of the winner and loser,
i.e., (winner + loser)/2.
Parameters:
p
the number of times the winner's rating was higher than the loser's
divided by the number of matches,
i.e., sum(winner > loser)/length(winner).
alpha
log(p/(1-p))/mean(D)
Source
Mallows, Colin L. (1973) Some comments on Cp.
Technometrics
Vol. 15, pp 661--667.
John M. Chambers and Trevor J. Hastie, (eds.)
Statistical Models in S.
Wadsworth and Brooks, Pacific Grove, CA 1992, pg. 423.
Examples
data(pingpong)
summary(pingpong)