Abstract
We have outlined quantification approaches to analysis of nominal data, and we also noted problems associated with joint graphical display of rows and columns of the contingency table.
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References
Carroll, J. D., Green, P. E., & Schaffer, C. M. (1986). Interpoint distance comparisons in correspondence analysis. Journal of Marketing Research, 23, 271–280.
Carroll, J. D., Green, P. E., & Schaffer, C. M. (1987). Comparing interpoint distances in correspondence analysis: A clarification. Journal of Marketing Research, 24, 445–450.
Carroll, J. D., Green, P. E., & Schaffer, C. M. (1989). Reply to Greenacre’s commentary on the Carroll-Green-Schaffer scaling of two-way correspondence analysis solutions. Journal of Marketing Research, 26, 366–368.
Garmize, L. M., & Rychlak, J. F. (1964). Role-play validation of a socio-cultural theory of symbolism. Journal of Consulting Psychology, 28, 107–115.
Greenacre, M. J. (1989). The Carroll-Green-Schaffer scaling in correspondence analysis: A theoretical and empirical appraisal. Journal of Marketing Research, 26, 358–365.
Greenacre, M. J. (1989). An invited talk on the CGS scaling at the meeting of the International Federation of Classification Societies. Charlottesville.
Lebart, L., & Mirkin, B. D. (1993). Correspondence analysis and classification. Multivariate Analysis: Future Directions, 2, 341–357.
Lebart, L., Morineau, A., & Tabard, N. (1977). Techniques de la Description Statistique: Méthodes et Logiciels pour l’Analyse des Grands Tableaux. Dunod.
Nishisato, S. (1980). Analysis of categorical data: Dual scaling and its applications. The University of Toronto Press.
Nishisato, S. (1984a). Dual scaling by reciprocal medians. Proceedings of the 32nd Scientific Conference of the Italian Statistical Society (pp. 141–147), Sorrento, Italy.
Nishisato, S. (1984). Forced classification: A simple application of a quantification technique. Psychometrika, 49, 25–36.
Nishisato, S. (1985). Methods of handling outlier responses in dual scaling. Proceedings of the 49th Annual Meeting of the Japanese Psychological Association (p. 501). Tokyo, Japan.
Nishisato, S. (1987). Robust techniques for quantifying categorical data. In I. B. MacNeil & G. J. Umphrey (Eds.), Foundations of statistical inference (pp. 209–217). D. Reidel Publishing Company.
Nishisato, S. (1991). Standardizing multidimensional space for dual scaling. Proceedings of the 20th Annual Meeting of the German Operations Research Society (pp. 584–591), Hohenheim University.
Nishisato, S. (1994). Elements of dual scaling: An introduction to practical data analysis. Lawrence Erlbaum Associates.
Nishisato, S. (1996). Gleaning in the field of dual scaling. Psychometrika, 61, 559–599.
Nishisato, S. (2007). Multidimensional nonlinear descriptive analysis. Chapman-Hall/CRC.
Nishisato, S. (2016). Quantification theory: Dual space and total space. Paper presented at the Annual Meeting of the Behaviormetric Society, Sapporo, Japan, p. 27 (In Japanese).
Nishisato, S. (2019a). Reminiscence: Quantification theory and graphs. Theory and Applications of Data Analysis, 8, 47–57 (in Japanese).
Nishisato, S. (2019b). Expansion of contingency space: Theory of doubled multidimensional space and graphs. In An invited talk at the Annual Meeting of the Japanese Classification Society, Tokyo (in Japanese).
Nishisato, S., & Baba, Y. (1999). On contingency, projection and forced classification of dual scaling. Behaviormetrika, 26, 207–219.
Nishisato, S., Beh, E. J., Lombardo, R., & Clavel, J. G. (2021). Modern quantification theory: Joint graphical display, biplots, and alternatives. Springer Nature.
Verboon, P. (1994). A Robust approach to nonlinear multivariate analysis. DSWO Press: Leiden University.
Young, G., & Householder, A. A. (1938). Discussion of a set of points in terms of their mutual distances. Psychometrika, 3, 19–22.
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Nishisato, S. (2023). Geometry of Space: A New Look. In: Measurement, Mathematics and New Quantification Theory. Behaviormetrics: Quantitative Approaches to Human Behavior, vol 16. Springer, Singapore. https://doi.org/10.1007/978-981-99-2295-6_8
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