Hal. Kiers, HANDLING ORDINAL VARIABLES IN 3-WAY ANALYSIS OF QUANTIFICATION MATRICES FOR VARIABLES OF MIXED MEASUREMENT LEVELS, British journal of mathematical & statistical psychology, 46, 1993, pp. 135-152
Citations number
36
Categorie Soggetti
Psychology, Experimental","Psychologym Experimental","Mathematical, Methods, Social Sciences
For the analysis of variables of mixed measurement levels a class of m
ethods can be used that is based on three-way analysis of quantificati
on matrices for nominal or quantitative variables. This class of metho
ds incorporates some well-known techniques but also offers a series of
interesting new alternatives for the analysis of nominal or quantitat
ive variables. Ordinal variables have received hardly any attention in
this class of methods, and are usually treated as if they are quantit
ative variables. In the present paper this gap is filled by constructi
ng quantification matrices for ordinal variables via optimal scaling o
f the ordinal variables, thus yielding optimal quantification matrices
for these variables. Algorithms for this optimal scaling procedure ar
e developed, and the optimal scaling procedures are compared to optima
l scaling of ordinal variables in the context of principal components
analysis and multidimensional scaling.