kunfolding: Kemeny-equivalent augmented unfolding

In ConsRankClass: Classification and Clustering of Preference Rankings

Kemeny-equivalent augmented unfolding

Description

Kemeny-equivalent augmented unfolding.

Usage

kunfolding(X, p = 2, control = mdscontrol(...), ...)

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.
p	the dimensionality of the solution. Default p=2
control	a list of options that control details of the kunfolding model governed by the function mdscontrol. The options govern the MDS model ("ordinal" or "metric"), the initial configuration ("torgerson", "random" or "user"), the transformation ("primary", "secondary", "tertiary","spline","ratio", "interval","none"), the set of weights, and other related options
...	arguments passed bypassing mdscontrol

Details

The MDS engine is smacofsym from smacof.In a future release other mds algorithms will be implemented. The output consists in a object of the class "kunfolding". It contains:

rawstress			raw stress
nrawstress			normalized raw stress
stress1			Stress-1
rowcoord			row (individuals) coordinates
colcord			column (items) coordinates
dhat			dhat
dij			configuration distance
shepardD			DeSarbo I Index
kendallfit			Kendall tau_b between transformed and fitted proximities
tauxfit			Tau_X between transformed and fitted proximities
avgrecov			Averaged recovery measure between raw preference data and fitted proximities
avgedpearson			Averaged Pearson correlation between raw preference data and fitted proximities
avgspearman			Averaged Spearman rho between raw preference data and fitted proximities
avgkendall			Averaged Kendall taub between raw preference data and fitted proximities
avgtaux			Averaged Tau_X between raw preference data and fitted proximities
resume			Resume meausures
resumerec	tab	Resume of recovery measures
resumeaug			Resume of augmentation matrix
kDelta			Kemeny equivalent dissimilarity matrix
beta			beta parameter
alpha			alpha parameter
interactions			n x m interaction submatrix
csi			csi parameter
mdssol			mds solution as returned by smacof package
n_i			number of individuals
n_c			number of items
tots			total
model			mds model
transf			transformation used

Value

An object of the class kunfolding. 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.

See Also

augmatrix

Examples

data("breakfast", package="smacof")
unfout <- kunfolding(breakfast)
itemsl <- colnames(breakfast)
plot(unfout,labs=itemsl)

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