Competitive-component analysis: A new approach to calibrating asymmetric market-share models

Journal of Marketing Research

Volumn 33, Issue 2, 1996, Pages 224-238

  Cooper, Lee G ^a   Klapper, Daniel ^b   Inoue, Akihiro ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b HUMBOLDT UNIVERSITY   (Germany)

^c KWANSEI GAKUIN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003254029     PISSN: 00222437     EISSN: None     Source Type: Journal    
DOI: 10.2307/3152149     Document Type: Article

References (32)

1. Bell, David E., Ralph L. Keeney, and John D. C. Little (1975), "A Market Share Theorem," Journal of Marketing Research, 7 (May), 136-41.
2. Carpenter, Gregory A., Lee G. Cooper, Dominique M. Hanssens, and David F. Midgley (1988), "Modeling Asymmetric Competition," Marketing Science, 7 (4), 393-412.
3. Carroll, J. Douglas and Phipps Arabie (1980), "Multidimensional Scaling," in Annual Review of Psychology, Vol. 31, M. R. Rosensweig and L. W. Porter, eds. Palo Alto, CA: Annual Reviews, 607-49.
4. _ and Jih-Jie Chang (1970), "Analysis of Individual Differences in Multidimensional Scaling Via an N-Way Generalization of 'Eckart-Young' Decomposition," Psychometrika, 35 (September), 283-320.
5. _, Sandra Pruzansky, and Joseph B. Kruskal (1980), "CANDELINC: A General Approach to Multidimensional Analysis of Many-Way Arrays with Linear Constraints on Parameters," Psychometrika, 45 (1), 3-24.
6. Cooper, Lee G. (1988), "Competitive Maps: The Structure Underlying Asymmetric Cross Elasticities," Management Science, 34 (6), 299-319.
7. _ (1993), "Market-Share Models," in Handbooks in Operations Research and Management Science: Marketing, J. Eliashberg and G. L. Lilien, eds. Amsterdam: North-Holland, 259-314.
8. _, Jan deLeeuw, and Arum G. Sogomonian (1991), "An Imputation Method for Dealing With Missing Data in Regression," Applied Stochastic Models and Data Analysis, 7 (3), 213-35.
9. _ and Masao Nakanishi (1988), Market-Share Analysis. Boston: Kluwer Academic Publishers.
10. Estes, William K. (1956), "The Problem of Inference from Curves Based on Group Data," Psychological Bulletin, 53 (2), 134-40.
11. Fader, Peter S., Bruce G. S. Hardie, and John W. Walsh (1994), "Modeling Consumer Choice Among SKUs," Wharton Marketing Department Working Paper #94-007, February.
12. Foekens, E. W., P. S. H. Leeflang, and D. R. Wittink (1992), "Asymmetric Market Share Modeling with Many Competitive Items Using Market Level Scanner Data," working paper, University of Groningen.
13. Harshman, R. A. (1970), "Foundations of the PARAFAC Procedure: Models and Conditions for an 'Explanatory' Multi-Mode Factor Analysis," UCLA Working Papers in Phonetics, 16, 1-84.
14. Kiers, H. A. L. (1991), "Hierarchical Relations Among Three-Way Methods," Psychometrika, 56 (September), 449-70.
15. Kroonenberg, P. M. (1983), Three-Mode Principal Component Analysis. Leiden, The Netherlands: DSWO Press.
16. _ (1992), "Three-Mode Component Models: A Survey of the Literature," Statistica Applicata, 4, 619-33.
17. _ and J. de Leeuw (1977), "TUCKALS2: A Principal Component Analysis of Three-Mode Data," Research Bulletin RB. 001-77, Department of Data Theory, University of Leiden, Leiden, The Netherlands.
18. _ and _ (1980), "Principal Component Analysis of Three-Mode Data by Means of Alternating Least Squares Algorithms," Psychometrika, 45 (March), 69-97.
19. Law, H. G., C. W. Snyder Jr., J. A. Hattie, and R. P. McDonald (1984), Research Methods for Multimode Data Analysis. New York: Praeger Press.
20. Little, R. J. A. and D. B. Rubin (1987), Statistical Analysis with Missing Data. New York: John Wiley & Sons.
21. _ and M. D. Schluchter (1985), "Maximum Likelihood Estimation for Mixed Continuous and Categorical Data with Missing Values," Biometrika, 72 (3), 497-512.
22. Malhotra, Naresh K. (1987), "Analyzing Marketing Research Data With Incomplete Information on the Dependent Variable," Journal of Marketing Research, 24 (February), 74-84.
23. Mulaik, S. (1972), The Foundations of Factor Analysis. New York: McGraw-Hill.
24. Olkin, I. and R. F. Tate (1961), "Multivariate Correlation Models with Mixed Discrete and Continuous Variables," Annals of Mathematical Statistics, 32 (June), 448-65.
25. Ramsay, J. O., J. ten Berge, and G. P. H. Styan (1984), "Matrix Correlation," Psychometrika, 49, 403-23.
26. Torgerson, W. S. (1958), Theory and Methods of Scaling. New York: John Wiley & Sons.
27. Tucker, Ledyard R (1957), "Transformation of Predictor Variables to a Simplified Regression Structure," Technical Report. Princeton, NJ: Educational Testing Service.
28. _ (1966), "Some Mathematical Notes on Three-Mode Factor Analysis," Psychometrika, 31 (September), 279-311.
29. _ (1972), "Relations Between Multidimensional Scaling and Three-Mode Factor Analysis," Psychometrika, 37, 3-27.
30. _, Lee G. Cooper, and William Meredith (1972), "Obtaining Squared Multiple Correlations from a Correlation Matrix Which May Be Singular," Psychometrika, 37 (2), 143-48.
31. _ and Samuel Messick (1963), "An Individual Differences Model for Multidimensional Scaling," Psychometrika, 28 (December), 333-67.
32. Vanden Abeele, P., E. Gijsbrecht, and M. Vanhuele (1990), "Specification and Empirical Evaluation of a Cluster-Asymmetry Market Share Model," International Journal of Research in Marketing, 7 (4), 223-41.