Summary
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.
This study was supported by a grant from the Natural Sciences and Engineering Research Council of Canada to S. Nishisato.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
AHN, H. (1991): Effects of missing responses in multiple choice data on dual scaling. Unpublished doctoral dissertation, University of Toronto.
BENZCRI, J.-P. (1979): Sur le caicul des taux d’inertie dans Panaiyse d’un questionnaire. Cahiers de VAnalyse des Dowries, 4, 377–378.
BENZCRI, J.-P. et al. (1973): L’Anaiyse des donnes: II. L’AnaJyse des correspondances. Paris: Dunod.
CARROLL, J.D., GREEN, P.E. and SCHAFFER, C.M. (1986): Interpoint distance comparisons in correspondence analysis. Journal of Marketing Research, 23, 271–280.
CARROLL, J.D., GREEN, P.E. and SCHAFFER, C.M. (1987): Comparing inter– point distances in correspondence analysis: A clarification. Journal of Marketing Research, 24, 445–450.
CARROLL, J.D., GREEN, P.E. and SCHAFFER, C.M. (1989): Reply to Green– acre’s commentary on the Carroll-Green-Schaffer scaling of two-way correspondence analysis solutions. Journal of Marketing Research, 26, 366–368.
CRONBACH, L.J. (1951): Coefficient alpha and internal structure of tests. Psychometrika, 16, 297–334.
GREENACRE, M.J. (1987): Measuring total variation and its components in multiple correspondence analysis. Murray Hill, NJ, AT&T Bell Laboratories Statistical Research Report.
GREENACRE, M.J. (1989): The Carroll-Green-Schaffer scaling in correspondence analysis: A theoretical and empirical appraisal.Journal of Marketing Research;, 26, 358–365.
LORD, F.M. (1958): Some relations between Guttman’s principal components of scale analysis and other psychometric theory.Psychometrika, 23, 291–296.
NISHISATO, S. (1980): Analysis of categorical data: Dual scaling and its applications. Toronto: University of Toronto Press.
NISHISATO, S. (1984): Forced classification: A simple application of a quantification technique. Psychometrika, 49, 25–36.
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.
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.
NISHISATO, S. (1993): On quantifying different types of categorical data. Psychometrika, 58, 617–629.
NISHISATO, S. (1994): Elements of dual scaling: An introduction to practical data analysis. Hillsdale, NJ: Lawrence Erlbaum Associates.
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).
NISHISATO, S. and NISHISATO, I. (1984): An introduction to dual scaling. Toronto: MicroStats.
NISHISATO, S. and SHEU, W.J. (1980): Piecewise method of reciprocal averages for dual scaling of multiple-choice data. Psychometrika, 45, 467–478.
VAN BUUREN, S. and VAN RIJCKEVORSEL, J.L.A. (1992): Imputation of missing categorical data by maximizing internal consistency. Psychometrika, 57, 567–580.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Nishisato, S. (1996). An Overview and Recent Developments in Dual Scaling. In: Gaul, W., Pfeifer, D. (eds) From Data to Knowledge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79999-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-79999-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60354-2
Online ISBN: 978-3-642-79999-0
eBook Packages: Springer Book Archive