doubles: Match outcomes from repeated doubles tennis matches

In hyperdirichlet: A Generalization of the Dirichlet Distribution

Description

Match outcomes from repeated doubles tennis matches

Usage

data(doubles)

Format

A hyperdirichlet object corresponding to the match outcomes listed below.

Details

There are four players, p1 to p4. These players play doubles tennis matches with the following results:

match	score
{p1,p2} vs {p3,p4}	9-2
{p1,p3} vs {p2,p4}	4-4
{p1,p4} vs {p2,p3}	6-7
{p1} vs {p3}	10-14
{p2} vs {p3}	12-14
{p1} vs {p4}	10-14
{p2} vs {p4}	11-10
{p3} vs {p4}	13-13

It is suspected that p1 and p2 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 {p1,p2} is represented by a ghost player.

Source

Doubles tennis matches at NOCS, Jan-May 2008

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)

hyperdirichlet documentation built on May 31, 2017, 5:18 a.m.