Plot rankings on a permutation polytope of 3 o 4 objects containing all possible ties

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Description

Plot rankings a permutation polytope that is the geometrical space of preference rankings. The plot is available for 3 or for 4 objects

Usage

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polyplot(X = NULL, L = NULL, Wk = NULL, nobj = 3)

Arguments

X

the sample of rankings, most of the time as returned by tabulaterows

L

labels of the objects

Wk

frequency associated to each ranking

nobj

number of objects: 3 or 4

Details

polyplot() plots the universe of 3 objecys. polyplot(nobj=4) plots the universe of 4 objecys.

Author(s)

Antonio D'Ambrosio <antdambr@unina.it> and Sonia Amodio <sonia.amodio@unina.it>

References

Thompson, G. L. (1993). Generalized permutation polytopes and exploratory graphical methods for ranked data. The Annals of Statistics, 1401-1430.

Heiser, W. J., & D'Ambrosio, A. (2013). Clustering and prediction of rankings within a Kemeny distance framework. In Algorithms from and for Nature and Life (pp. 19-31). Springer International Publishing.

See Also

tabulaterows

Examples

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polyplot()

#polyplot(nobj=4)

data(BU)

polyplot(BU[,1:3],Wk=BU[,4])

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