convertRank: Change the representation of a rank

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

Change the representation of a rank

Description

convertRank converts a rank from its ranking representation to its ordering representation, and vice-versa. The function does not work with partial ranking. The transformation to convert a rank from ordering to ranking representation is the same that from ranking to ordering representation, there is no need to precise the representation of rank x.

Usage

convertRank(x)

Arguments

x	a rank (vector) datum either in its ranking or ordering representation.

Details

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.

The ordering representation o=(o_1,...,o_m) means that object o_i is in the ith position.

Let us consider the following example to illustrate both notations: a judge, which has to rank three holidays destinations according to its preferences, O1 = Countryside, O2 =Mountain and O3 = Sea, ranks first Sea, second Countryside, and last Mountain. The ordering result of the judge is o = (3, 1, 2) whereas the ranking result is r = (2, 3, 1).

Value

a rank (vector) in its ordering representation if its ranking representation has been given in input of convertRank, and vice-versa.

Author(s)

Julien Jacques

Examples

x <- c(2, 3, 1, 4, 5)
convertRank(x)

Rankcluster documentation built on Nov. 12, 2022, 9:05 a.m.