An Overview and Recent Developments in Dual Scaling
Dual scaling quantifies such categorical data as contingency tables, multiple-choice data, sorting data, paired comparison data, rank-order data, and successive categories data. These data can be classified into two types, incidence data and dominance data. The present study is an overview of some key formulas and several conceptual problems, which require further investigations. Most of them are peculiar to data types, and some remedial procedures are suggested for them as interim measures. Awareness of these difficulties in dual scaling and other related methods seems to be the most notable recent development.
KeywordsSorting Clarification Plague
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- AHN, H. (1991): Effects of missing responses in multiple choice data on dual scaling. Unpublished doctoral dissertation, University of Toronto.Google Scholar
- BENZCRI, J.-P. (1979): Sur le caicul des taux d’inertie dans Panaiyse d’un questionnaire. Cahiers de VAnalyse des Dowries, 4, 377–378.Google Scholar
- BENZCRI, J.-P. et al. (1973): L’Anaiyse des donnes: II. L’AnaJyse des correspondances. Paris: Dunod.Google Scholar
- GREENACRE, M.J. (1987): Measuring total variation and its components in multiple correspondence analysis. Murray Hill, NJ, AT&T Bell Laboratories Statistical Research Report.Google Scholar
- NISHISATO, S. (1980): Analysis of categorical data: Dual scaling and its applications. Toronto: University of Toronto Press.Google Scholar
- NISHISATO, S. (1987): Robust techniques for quantifying categorical data. In: LB. McNeil and G.J. Umphrey (eds.): Foundations of Statistical Inference. Dordrecht: D. Reidel Publishing, 209–217.Google Scholar
- NISHISATO, S. (1990): Dual scaling of designed experiments. In M. Schader and W. Gaul (eds.): Knowledge, Data and Computer-Assisted Decisions. Berlin: Springer-Verlag, 115–125.Google Scholar
- NISHISATO, S. (1994): Elements of dual scaling: An introduction to practical data analysis. Hillsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
- NISHISATO, S. and AHN, H. (1994): When not to analyze data: Decision making on missing responses in dual scaling. Annals of Operations Research (in press).Google Scholar
- NISHISATO, S. and NISHISATO, I. (1984): An introduction to dual scaling. Toronto: MicroStats.Google Scholar