A double law of comparative judgment for the analysis of preferential choice and similarities data

By virtue of certain modifications in the Law of Comparative Judgment, equations are developed which ( i ) permit the construction of a joint scale of individuals and items, as in the case of attitude measurement, directly from their pair-comparison preferences, and ( ii ) take into account the variable of laterality which is significant for the construction of group preference scales.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45709/1/11336_2005_Article_BF02289712.pd

Book reviews

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45712/1/11336_2005_Article_BF02289577.pd

A stochastic multidimensional scaling procedure for the empirical determination of convex indifference curves for preference/choice analysis

The vast majority of existing multidimensional scaling (MDS) procedures devised for the analysis of paired comparison preference/choice judgments are typically based on either scalar product (i.e., vector) or unfolding (i.e., ideal-point) models. Such methods tend to ignore many of the essential components of microeconomic theory including convex indifference curves, constrained utility maximization, demand functions, et cetera. This paper presents a new stochastic MDS procedure called MICROSCALE that attempts to operationalize many of these traditional microeconomic concepts. First, we briefly review several existing MDS models that operate on paired comparisons data, noting the particular nature of the utility functions implied by each class of models. These utility assumptions are then directly contrasted to those of microeconomic theory. The new maximum likelihood based procedure, MICROSCALE, is presented, as well as the technical details of the estimation procedure. The results of a Monte Carlo analysis investigating the performance of the algorithm as a number of model, data, and error factors are experimentally manipulated are provided. Finally, an illustration in consumer psychology concerning a convenience sample of thirty consumers providing paired comparisons judgments for some fourteen brands of over-the-counter analgesics is discussed.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45748/1/11336_2005_Article_BF02294463.pd

A general model for preferential and triadic choice in terms of centralF distribution functions

multivariate triads, preferential choice, quadratic forms, choice models, multidimensional scaling, preference, unfolding, F distribution,