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Residual analysis for unidimensional scaling in the L2-norm |
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| Authors: | Michael J Brusco Douglas Steinley Hans-Friedrich Köhn |
| Institution: | 1. Department of Business Analytics, Information Systems, and Supply Chain, Florida State University, Tallahassee, FL, USAmbrusco@business.fsu.edu;3. Department of Psychological Sciences, University of Missouri, Columbia, MO, USA;4. Department of Psychology, University of Illinois, Champaign, IL, USA |
| Abstract: | ABSTRACTWe present a procedure (RAUS) for residual analysis of a dissimilarity matrix whereby unidimensional scaling is successively applied to the absolute value of residuals. A key advantage of RAUS is that the efficient Defays formulation of unidimensional scaling can be used for the fitting of each scale. An example using U.S. Supreme Court voting data is provided to illustrate the interpretation of successive scales. A simulation study was performed to evaluate RAUS. |
| Keywords: | Combinatorial data analysis Least-squares unidimensional scaling: Residual analysis Simulated annealing |