polyplot {ConsRank} | R Documentation |

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

### 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

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

### Arguments

`X` |
the sample of rankings. Most of the time it is returned by tabulaterows |

`L` |
labels of the objects |

`Wk` |
frequency associated to each ranking |

`nobj` |
number of objects. It must be either 3 or 4 |

### Details

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

### Value

the permutation polytope

### 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., and 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`

frequency distribution for ranking data.

### Examples

```
polyplot()
#polyplot(nobj=4)
data(BU)
polyplot(BU[,1:3],Wk=BU[,4])
```

*ConsRank*version 2.1.4 Index]