hyperdirichlet (version 1.4-2)

doubles: Match outcomes from repeated doubles tennis matches

Description

Match outcomes from repeated doubles tennis matches

Usage

data(doubles)

format

A hyperdirichlet object corresponding to the match outcomes listed below.

source

Doubles tennis matches at NOCS, Jan-May 2008

Details

There are four players, $p_1$ to $p_4$. These players play doubles tennis matches with the following results:

cc{ match score $\lbrace p_1,p_2\rbrace$ vs $\lbrace p_3,p_4\rbrace$ 9-2 $\lbrace p_1,p_3\rbrace$ vs $\lbrace p_2,p_4\rbrace$ 4-4 $\lbrace p_1,p_4\rbrace$ vs $\lbrace p_2,p_3\rbrace$ 6-7 $\lbrace p_1\rbrace$ vs $\lbrace p_3\rbrace$ 10-14 $\lbrace p_2\rbrace$ vs $\lbrace p_3\rbrace$ 12-14 $\lbrace p_1\rbrace$ vs $\lbrace p_4\rbrace$ 10-14 $\lbrace p_2\rbrace$ vs $\lbrace p_4\rbrace$ 11-10 $\lbrace p_3\rbrace$ vs $\lbrace p_4\rbrace$ 13-13 }

It is suspected that $p_1$ and $p_2$ have some form of team cohesion and play better when paired than when either solo or with other players. As the scores show, each player and, apart from p1-p2, each doubles partnership, is of approximately the same strength.

Dataset doubles_noghost gives the appropriate likelihood function for the players' strengths; and dataset doubles gives the appropriate likelihood function if the extra strength due to team cohesion of $\lbrace p_1,p_2\rbrace$ is represented by a ghost player.

References

Robin K. S. Hankin (2010). A Generalization of the Dirichlet Distribution, Journal of Statistical Software, 33(11), 1-18, http://www.jstatsoft.org/v33/i11/

Examples

data(doubles)