A New Heterogeneous Multidimensional Unfolding Procedure

Psychometrika, Volume 77, Issue 2, pp 263-287, 2012

Posted: 19 Jun 2016

See all articles by Joonwook Park

Joonwook Park

University of Kentucky - Marketing and Supply Chain

Wayne S. DeSarbo

Pennsylvania State University

Priyali Rajagopal

affiliation not provided to SSRN

Date Written: April 1, 2012

Abstract

A variety of joint space multidimensional scaling (MDS) methods have been utilized for the spatial analysis of two- or three-way dominance data involving subjects’ preferences, choices, considerations, intentions, etc. so as to provide a parsimonious spatial depiction of the underlying relevant dimensions, attributes, stimuli, and/or subjects’ utility structures in the same joint space representation. We demonstrate that care must be taken with respect to a key assumption in existent joint space MDS models such that all estimated dimensions are utilized by each and every subject in the sample, as this assumption can lead to serious distortions with respect to the derived joint spaces. We develop a new Bayesian dimension selection methodology for the multidimensional unfolding model which accommodates heterogeneity with respect to such dimensional utilization at the individual subject level for the analysis of two or three-way dominance data. A consumer psychology application regarding the preference for Over-the-Counter (OTC) analgesics is provided. We conclude by discussing the practical implications of the results, as well as directions for future research.

Keywords: multidimensional unfolding, dimension selection, Bayesian multidimensional scaling, consumer psychology, heterogeneity

Suggested Citation

Park, Joonwook and DeSarbo, Wayne S. and Rajagopal, Priyali, A New Heterogeneous Multidimensional Unfolding Procedure (April 1, 2012). Psychometrika, Volume 77, Issue 2, pp 263-287, 2012, Available at SSRN: https://ssrn.com/abstract=2796746

Joonwook Park

University of Kentucky - Marketing and Supply Chain ( email )

United States

Wayne S. DeSarbo (Contact Author)

Pennsylvania State University ( email )

University Park
State College, PA 16802
United States

Priyali Rajagopal

affiliation not provided to SSRN

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