tennis: Match outcomes from repeated doubles tennis matches

In hyper2: The Hyperdirichlet Distribution, Mark 2

Match outcomes from repeated doubles tennis matches

Description

Match outcomes from repeated doubles tennis matches

Usage

data(tennis)

Format

A hyper2 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 tennis gives the appropriate likelihood function for the players' strengths; and dataset tennis_ghost gives the appropriate likelihood function if the extra strength due to team cohesion of {p1,p2} is represented by a ghost player.

These objects can be generated by running script inst/tennis.Rmd, which includes some further discussion and technical documentation and creates file tennis.rda which resides in the data/ directory.

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, doi: 10.18637/jss.v033.i11

Examples

summary(tennis)

tennis %>% psubs(c("Federer","Laver","Graf","Navratilova"))

## Following line commented out because it takes too long:
# specificp.gt.test(tennis_ghost,"G",0)

hyper2 documentation built on Aug. 21, 2022, 1:05 a.m.