When unidimensional stimulus sets are subjected to
a nonmetric scaling in two dimensions, the stimuli frequently
form a C- or S-shaped configuration. In simulated
unidimensional data scaled in two dimensions,
stimuli formed a C-shaped configuration when the
monotone function relating distances to dissimilarity
data was negatively accelerating. They formed an S-shaped
configuration when the monotone function was
positively accelerating. Results suggest that when unidimensional
stimulus sets are scaled in two dimensions
using a rational starting configuration, the nature of
the two-dimensional configuration can indicate the
general form of the function mapping psychological
dissimilarity, represented as distance in the scaling
model, onto the observed response scale. Index
terms: data transformations, multidimensional scaling,
paired comparisons, proximity data, unidimensional
Davison, Mark L & Hearn, Marsha. (1989). Two-dimensional configurations on unidimensional stimulus sets in nonmetric multidimensional scaling. Applied Psychological Measurement, 13, 329-334. doi:10.1177/014662168901300401
Davison, Mark L.; Hearn, Marsha.
Two-dimensional configurations on unidimensional stimulus sets in nonmetric multidimensional scaling.
Retrieved from the University of Minnesota Digital Conservancy,
Content distributed via the University of Minnesota's Digital Conservancy may be subject to additional license and use restrictions applied by the depositor.