big4: Rank data: big4
In Rankcluster: Model-Based Clustering for Multivariate Partial Ranking Data

big4	R Documentation

Rank data: big4

Description

This dataset is composed of the rankings (in ranking notation) of the "Big Four" English football teams (A: Manchester, B: Liverpool, C: Arsenal, D: Chelsea) to the English Championship (Premier League) and according to the UEFA coefficients (statistics used in Europe for ranking and seeding teams in international competitions), from 1993 to 2013.

In 2000-2001, Arsenal and Chelsea had the same UEFA coefficient and then are tied. UEFA ranking is (1, 4, 2, 2) for 2000-2001, what means that Manchester United is the first, Liverpool is the last, and the two intermediate positions are for Arsenal and Chelsea in an unknown order.

In 2009-2010, Liverpool and Arsenal have also the same UEFA coefficient, the ranking is (1, 2, 2, 4).

Format

A list containing:

data

A matrix of size 21*8 containing the 21 Premier League seasons. Each row corresponding to one ranking (ranking representation).

The ranking representation r=(r_1,...,r_m) contains the ranks assigned to the objects, and means that the ith object is in r_ith position.

For example, if the ranking representation of a rank is (4,3,1,2,5), it means that judge ranks the first object in 4th position, second object in 3rd position, ...

frequency

matrix of size 21*9. Each row corresponds to one of the 21 different observed rankings, and the last column contains the observation frequency.

m

the size of the rankings (m=c(4,4) ).