ConsRank (version 1.0.1)

kemenyd: Kemeny distance

Description

Compute the Kemeny distance of a data matrix containing preference rankings, or compute the kemeny distance between two (matrices containing) rankings.

Usage

kemenyd(X, Y = NULL)

Arguments

X

A N by M data matrix, in which there are N judges and M objects to be judged. Each row is a ranking of the objects which are represented by the columns. If there is only X as input, the output is a square distance matrix

Y

A row vector, or a n by M data matrix in which there are n judges and the same M objects as X to be judged.

Value

• If there is anly X as input, d = square distance matrix. If there is also Y as input, d = matrix with N rows and n columns.

References

Kemeny, J. G., & Snell, L. J. (1962). Preference ranking: an axiomatic approach. Mathematical models in the social sciences, 9-23.

See Also

Tau_X

Examples

data(Idea)
KD=kemenyd(Idea)

KD2=kemenyd(Idea[1:10,],Idea[55,])