Abstract
This paper introduces a new stochastic clustering methodology devised for the analysis of categorized or sorted data. The methodology reveals consumers' common category knowledge as well as individual differences in using this knowledge for classifying brands in a designated product class. A small study involving the categorization of 28 brands of U.S. automobiles is presented where the results of the proposed methodology are compared with those obtained from KMEANS clustering. Finally, directions for future research are discussed.
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References
Akaike, H. (1974), “A New Look at Statistical Model Identification,”IEEE Transactions on Automatic Control, AC-19 716–723.
CarrollJ. D., and ArabieP. (1983). “INDCLUS: An Individual Differen es Generalization of the ADCLUS Model and the MAPCLUS Algorithm,”Psychometrika 48, 157–169.
DeSarbo, W. S., Steckel, J., and Jedidi, K. (1991). “MICROSCALE: A Stochastic Multidimensional Scaling Procedure for the Empirical Determination of Convex Indifference Curves of Preference/Choice Analysis,”Psychometrika, forthcoming.
GillP. E., MurrayW., and WrightM. H. (1981).Practical Optimization, Orlando, FL: Academic Press.
HortonM. S., and MarkmanE. M. (1980). “Developmental Differences in the Acquisition of Basic and Superordinate Categories,”Child Development 51, 708–719.
HowardJ. A. (1989).Consumer Behavior in Marketing Strategy, Englewood Cliffs, NJ: Prentice Hall.
JohnsonM. D., LehmannD. R., and HorneD. R. (1990). “The effects of fatigue on judgments of interproduct similarity,”International Journal of Research in Marketing 7, 35–43.
JohnsonS. C. (1967). “Hierarchical Clustering Schemes,”Psychometrika 32, 241–254.
KruskalJ. B. (1964). “Multidimensional Scaling by Optimizing Goodness of Fit to a Nonmetric Hypothesis,”Psychometrika 29, 1–27.
MedinD. L., and SmithE. E. (1984). “Concepts and Concept Formation,”Annual Review of Psychology 35, 113–138.
MervisC. B., and RoschE. (1981). “Categorization of Natural Objects,”Annual Review of Psychology 32, 89–115.
PowellM. J. D. (1977). “Restart Procedures for the Conjugate Gradient Method,”Mathematical Programming 12, 241–254.
RaoV. R., and KatzR. (1971). “Alternative Multidimensional Scaling Methods for Large Stimulus Sets,”Journal of Marketing Research 8, 488–494.
RoschE. (1975). “Cognitive Representation of Semantic Categories,”Journal of Experimental Psychology: General 104, 192–233.
RoschE. (1977). “Human Categorization,” in W.Warren (ed.),Studies in Cross-Cultural Psychology: Volume 1, London: Academic Press, 1–49.
SattathS., and TverskyA. (1977). “Additive Similarity Trees”,Psychometrika 42, 319–345.
ShepardR. N. (1962). “The Analysis of Proximities: Multidimensional Scaling with an Unknown Distance Function, I and II,”Psychometrika 27, 125–140 and 219–246.
ShepardR. N., and ArabieP. (1979). “Additive Clustering: Representation of Similarities as Combinations of Discrete Overlapping Properties,Psychological Review 86, 87–123.
SpäthH. (1980).Cluster Analysis Algorithms, New York, NY: Wiley & Sons.
WardJ. H. (1963). “Hierarchical Grouping to Optimize an Objective Function,”Journal of the American Statistical Association 58, 236–244.
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Wayne S. DeSarbo is the S. S. Kresge Distinguished Professor of Marketing and Statistics, and Michael D. Johnson is Associate Professor of Marketing, both at the University of Michigan's School of Business Administration. Kamel Jedidi is Assistant Professor of Marketing at Columbia University's Graduate School of Business. The authors gratefully acknowledge DuPont Incorporated for providing financial support for this research.
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Desarbo, W.S., Jedidi, K. & Johnson, M.D. A new clustering methodology for the analysis of sorted or categorized stimuli. Market Lett 2, 267–279 (1991). https://doi.org/10.1007/BF02404077
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DOI: https://doi.org/10.1007/BF02404077