Two-dimensional configurations on unidimensional stimulus sets in nonmetric multidimensional scaling

Davison, Mark L.
Hearn, Marsha
1989
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Two-dimensional configurations on unidimensional stimulus sets in nonmetric multidimensional scaling

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1989

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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 scaling, unidimensionality.

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Applied Psychological Measurement, Volume 13, 1989

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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

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Davison, Mark L.; Hearn, Marsha. (1989). Two-dimensional configurations on unidimensional stimulus sets in nonmetric multidimensional scaling. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/107369.

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