augmatrix: Kemeny-equivalent augmented dissimilarity matrix

In ConsRankClass: Classification and Clustering of Preference Rankings

Kemeny-equivalent augmented dissimilarity matrix

Description

Kemeny-equivalent augmented dissimilarity matrix

Usage

augmatrix(X)

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.

Details

First the matrix is transformed with the tau_X rank correlation coeficient, then it is normalized. The output contains:

Delta			the augmented dissimilarity matrix
Interaction			the submatrix containnig the interactions individuals-items
Objects			the submatrix containing the within-items proximities
Indiv			the submatrix containing the within-individuals proximities
beta			the beta parameter
alpha			the alpha parameter
csi			the csi parameter
res			the resume of th eaugmentation in terms of:
	TauX		tau_x rank correlation coefficient
	Kendall		kendall rank correlation coefficient
	Spearman		Spearman correlation coefficient

Value

A list containing the dissimilarity matrix and othe information about the augmented matrix. See details for detailed information.

Author(s)

Antonio D'Ambrosio [e-mail]

References

D'Ambrosio, A., Vera, J. F., & Heiser, W. J. (2022). Avoiding degeneracies in ordinal unfolding using Kemeny-equivalent dissimilarities for two-way two-mode preference rank data. Multivariate Behavioral Research, 57(4), 679-699.

ConsRankClass documentation built on June 8, 2025, 10:33 a.m.