Two Stochastic Multidimensional Choice Models for Marketing Research
dc.contributor.author | Carroll, J. Douglas | en_US |
dc.contributor.author | Soete, Geert De | en_US |
dc.contributor.author | DeSarbo, Wayne S. | en_US |
dc.date.accessioned | 2010-06-01T19:35:01Z | |
dc.date.available | 2010-06-01T19:35:01Z | |
dc.date.issued | 1990-03 | en_US |
dc.identifier.citation | Carroll, J. Douglas; Soete, Geert; DeSarbo, Wayne S. (1990). "Two Stochastic Multidimensional Choice Models for Marketing Research." Decision Sciences 21(1): 337-356. <http://hdl.handle.net/2027.42/72720> | en_US |
dc.identifier.issn | 0011-7315 | en_US |
dc.identifier.issn | 1540-5915 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/72720 | |
dc.description.abstract | Two recently developed probabilistic multidimensional models for analyzing pairwise choice data are introduced, discussed in terms of their differential properties, and extended in several ways. The first one, the wandering vector model, was originally suggested by Carroll [12] and extended by De Soete and Carroll [30]. The second model, called the wandering ideal point model, is a more recently proposed [32] unfolding analog of the wandering vector model. A general maximum likelihood estimation method for fitting the various models described is mentioned, as well as a statistical test for assessing the goodness of fit. Finally, an application of the models is provided concerning consumer choice for some 14 brands of over-the-counter analgesics to illustrate how such models can be gainfully utilized for marketing decision making concerning product positioning. | en_US |
dc.format.extent | 1126889 bytes | |
dc.format.extent | 3109 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.publisher | Blackwell Publishing Ltd | en_US |
dc.rights | 1990 by the American Institute for Decision Sciences | en_US |
dc.subject.other | Consumer Behavior | en_US |
dc.subject.other | Marketing Research | en_US |
dc.subject.other | Product Design and Performance | en_US |
dc.title | Two Stochastic Multidimensional Choice Models for Marketing Research | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Marketing and Statistics Departments, Graduate School of Business, University of Michigan, Ann Arbor, MI 48109 | en_US |
dc.contributor.affiliationother | Room 2C-247, AT&T Bell Laboratories, 600 Mountain Avenue, Murray Hill, NJ 07974 | en_US |
dc.contributor.affiliationother | Department of Psychology, University of Ghent, Henri-Dunantlaan 2, Ghent, Belgium, B-9000 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/72720/1/j.1540-5915.1990.tb00318.x.pdf | |
dc.identifier.doi | 10.1111/j.1540-5915.1990.tb00318.x | en_US |
dc.identifier.source | Decision Sciences | en_US |
dc.identifier.citedreference | Akaike, H. On entropy maximization principle. In P. R. Krishnaiah ( Ed. ), Applications of statistics. Amsterdam: North-Holland, 1977. | en_US |
dc.identifier.citedreference | Bechtel, G. G. Folded and unfolded scaling from preferential paired comparisons. Journal of Mathematical Psychology, 1968, 5, 333 – 357. | en_US |
dc.identifier.citedreference | Bechtel, G. G. Multidimensional preference scaling. The Hague: Mouton, 1976. | en_US |
dc.identifier.citedreference | Bechtel, G. G., Tucker, L. R., & Chang, W. A scalar product model for the multidimensional scaling of choice. Psychometrika, 1971, 36, 369 – 388. | en_US |
dc.identifier.citedreference | Becker, G. M., DeGroot, M. H., & Marschak, J. Probabilities of choice among very similar objects. Behavioral Science, 1963, 8, 306 – 311. | en_US |
dc.identifier.citedreference | Bennett, J. F., & Hays, W. L. Multidimensional unfolding: Determining the dimensionality of ranked preference data. Psychometrika, 1964, 25, 27 – 43. | en_US |
dc.identifier.citedreference | Bentler, P. M., & Weeks, D. G. Restricted multidimensional scaling models. Journal of Mathematical Psychology, 1978, 17, 138 – 151. | en_US |
dc.identifier.citedreference | Bloxom, B. Constrained multidimensional scaling in N spaces. Psychometrika, 1978, 43, 397 – 408. | en_US |
dc.identifier.citedreference | Bock, R. D., & Jones, L. V. The measurement and prediction of judgment and choice. San Francisco, CA: Holden-Day, 1968. | en_US |
dc.identifier.citedreference | Box, B. E. P., Hunter, W. G., & Hunter, J. S. Statistics for experiments. New York: Wiley, 1978. | en_US |
dc.identifier.citedreference | Bradley, R. A., & Terry, M. E. Rank analysis of incomplete block designs I. The Method of paired comparisons. Biometrika, 1952, 39, 324 – 345. | en_US |
dc.identifier.citedreference | Carroll, J. D. Models and methods for multidimensional analysis of preferential choice (or other dominance) data. In E.D. Lantermann & H. Feger ( Eds. ), Similarity and choice. Bern, Switzerland: Huber, 1980. | en_US |
dc.identifier.citedreference | Carroll, J. D., & DeSarbo, W. S. Two-way spatial models for modeling individual differences in preference. In E.C. Hirschman & M.B. Holbrook ( Eds. ), Advances in consumer research ( Vol. 12 ). Prov, UT: Association for Consumer Research, Brigham Young Graduate School of Management, 1975. | en_US |
dc.identifier.citedreference | Carroll, J. D., Pruzansky, S., & Kruskal, J. B. CANDELINC: A general approach to multidimensional analysis of many-way arrays with linear constraints on parameters. Psychometrika, 1979, 45, 3 – 24. | en_US |
dc.identifier.citedreference | Carroll, J. D., & Winsberg, S. Maximum likelihood procedures for metric and quasi-nonmetric fitting of an extended INDSCAL model assuming both common and specific dimension. Paper presented at the Multidimensional Data Analysis Workshop, Cambridge, England, June 1985. | en_US |
dc.identifier.citedreference | Chow, G. C. A comparison of information and posterior probability criteria for model selection. Journal of Econometrics, 1981, 16, 21 – 33. | en_US |
dc.identifier.citedreference | Coombs, C. H. Psychological scaling without a unit of measurement. Psychological Review, 1950, 57, 148 – 158. | en_US |
dc.identifier.citedreference | Coombs, C. H. A theory of data. New York: Wiley, 1964. | en_US |
dc.identifier.citedreference | Coombs, C. H., Greenberg, M., & Zinnes, J. A double law of comparative judgment for the analysis of preferential choice and similarities data. Psychometrika, 1961, 26, 165 – 171. | en_US |
dc.identifier.citedreference | Cooper, L. G., & Nakanishi, M. Two logit models for external analysis of preference. Psychometrika, 1983, 48, 607 – 620. | en_US |
dc.identifier.citedreference | Daganzo, C. Multinomial probit. New York: Academic Press, 1980. | en_US |
dc.identifier.citedreference | David, H. A. The method of paired comparisons. New York: Hafner, 1963. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., & Carroll, J. D. Three-way metric unfolding via alternating weighted least squares. Psychometrika, 1985, 50, 275 – 300. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., Carroll, J. D., Lehmann, D. R., & O'Shaughnessy, J. Three-way multivariate conjoint analysis. Marketing Science, 1982, 1, 323 – 350. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., de Soete, G., & Eliashberg, J. A new stochastic multidimensional unfolding model for the investigation of paired comparison consumer preference/choice data. Journal of Economic Psychology, 1987, 8, 357 – 384. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., Oliver, R. L., & de Soete, G. A probabilistic multidimensional scaling vector model. Applied Psychological Measurement, 1986, 10 ( 1 ), 79 – 98. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., & Rao, V. R. GENFOLD2: A set of models and algorithms for the GENeral unFOLDing analysis of preference/dominance data. Journal of Classification, 1984, 1, 147 – 186. | en_US |
dc.identifier.citedreference | DeSarbo, W. S., & Rao, V. R. A constrained unfolding model for product positioning. Marketing Science, 1986, 5, 1 – 19. | en_US |
dc.identifier.citedreference | de Soete, G. On the relation between two generalized cases of Thurstone's law of comparative judgment. MathÉmatiques et Sciences Humaines, 1983, 81, 47 – 57. | en_US |
dc.identifier.citedreference | de Soete, G., & Carroll, J. D. A maximum likelihood method for fitting the wandering vector model. Psychometrika, 1983, 48, 553 – 566. | en_US |
dc.identifier.citedreference | de Soete, G., & Carroll, J. D. Probabilistic multidimensional choice models for representing paired comparisons data. In E. Diday, Y. Escofier, L. Lebart, J. Pages, Y. Schektman, & R. Tomassone ( Eds. ) Data analysis and informatics IV. Amsterdam: North-Holland, 1986. | en_US |
dc.identifier.citedreference | de Soete, G., Carroll, J. D., & DeSarbo, W. S. The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data. Journal of Mathematical Psychology, 1986, 30, 28 – 41. | en_US |
dc.identifier.citedreference | Edgell, S. E., & Geisler, W. S. A set-theoretic, random utility model of choice behavior. Journal of Mathematical Psychology, 1980, 21, 265 – 278. | en_US |
dc.identifier.citedreference | Fechner, G. T. Elemente der psychophysik. Leipzig: Breitkopf and Hartel, 1860. | en_US |
dc.identifier.citedreference | Halff, H. M. Choice theories for differentially comparable alternatives. Journal of Mathematical Psychology, 1976, 14, 244 – 246. | en_US |
dc.identifier.citedreference | Heiser, W. J., & de Leeuw, J. Multidimensional mapping of preference data. MathÉmatiques et Sciences Humaines, 1981, 73, 39 – 96. | en_US |
dc.identifier.citedreference | Krantz, D. H. Rational distance function for multidimensional scaling. Journal of Mathematical Psychology, 1967, 4, 226 – 245. | en_US |
dc.identifier.citedreference | Luce, R. D. Individual choice behavior: A theoretical analysis. New York: Wiley, 1959. | en_US |
dc.identifier.citedreference | Marley, A. A. Multivariate stochastic processes compatible with ‘aspect’ models of similarity and choice. Psychometrika, 1981, 46, 421 – 428. | en_US |
dc.identifier.citedreference | McFadden, D. Econometric models of probabilistic choice. In C. Manski & D. McFadden ( Eds. ), Structural analysis of discrete data. Cambridge: Massachussetts Institute of Technology Press, 1981. | en_US |
dc.identifier.citedreference | McFadden, D. Econometric analysis of qualitative response models. In Z. Griliches and M. Intriligator ( Eds. ), Handbook of econometrics ( Vol. 2 ). Amsterdam: North-Holland, 1984. | en_US |
dc.identifier.citedreference | McFadden, D. The choice theory approach to market research. Marketing Science, 1986, 5, 275 – 297. | en_US |
dc.identifier.citedreference | Restle, F. Psychology of judgment and choice: A theoretical essay. New York: Wiley, 1961. | en_US |
dc.identifier.citedreference | Rumelhart, D. L., & Greeno, J. G. Similarity between stimuli: An experimental test of the Luce and Restle choice models. Journal of Mathematical Psychology, 1971, 8, 370 – 381. | en_US |
dc.identifier.citedreference | SchÖnemann, P. H., & Wang, M. M. An individual difference model for the multidimensional analysis of preference data. Psychometrika, 1972, 37, 275 – 305. | en_US |
dc.identifier.citedreference | Schwarz, G. Estimating the dimensions of a model. Annals of Statistics, 1978, 6, 461 – 464. | en_US |
dc.identifier.citedreference | Sixtl, F. Probabilistic unfolding. Psychometrika, 1973, 38, 235 – 248. | en_US |
dc.identifier.citedreference | SjÖberg, L. Uncertainty of comparative judgment and multidimensional structure. Multivariate Behavioral Research, 1975, 10, 207 – 218. | en_US |
dc.identifier.citedreference | SjÖberg, L. Choice frequency and similarity. Scandinavian Journal of Psychology, 1977, 18, 103 – 115. | en_US |
dc.identifier.citedreference | SjÖberg, L. Similarity and correlation. In E.D. Lantermann & H. Feger ( Eds. ), Similarity and choice. Bern, Switzerland: Huber, 1980. | en_US |
dc.identifier.citedreference | SjÖberg, L., & Cappoza, D. Preference and cognitive structure of italian political parties. Italian Journal of Psychology, 1975, 2, 391 – 402. | en_US |
dc.identifier.citedreference | Slater, P. The analysis of personal preferences. British Journal of Statistical Psychology, 1960, 13, 119 – 135. | en_US |
dc.identifier.citedreference | Strauss, D. Choice by features: An extension of Luce's choice model to account for similarities. British Journal of Mathematical and Statistical Psychology, 1981, 22, 188 – 196. | en_US |
dc.identifier.citedreference | Takane, Y. Maximum likelihood estimation in the generalized case of Thurstone's model of comparative judgment. Japanese Psychological Research, 1980, 22, 188 – 196. | en_US |
dc.identifier.citedreference | Thurstone, L. L. A law of comparative judgment. Psychological Review, 1927, 34, 273 – 286. | en_US |
dc.identifier.citedreference | Torgerson, W. S. Theory and methods of scaling. New York: Wiley, 1958. | en_US |
dc.identifier.citedreference | Tucker, L. R. Intra-individual and inter-individual multidimensionality. In H. Gulliksen & S. Messick ( Eds. ), Psychological scaling: Theory and applications. New York: Wiley, 1960. | en_US |
dc.identifier.citedreference | Tversky, A. Elimination by aspects: A theory of choice. Psychological Review, 1972, 79, 281 – 299. | en_US |
dc.identifier.citedreference | Tversky, A., & Russo, J. E. Substitutability and similarity in binary choices. Journal of Mathematical Psychology, 1969, 6, 1 – 12. | en_US |
dc.identifier.citedreference | Tversky, A., & Sattath, S. Preference trees. Psychological Review, 1979, 86, 542 – 573. | en_US |
dc.identifier.citedreference | Wang, M. M., SchÖnemann, P. H., & Rusk, J. G. A conjugate gradient algorithm for the multidimensional analysis of preference data. Multivariate Behavioral Research, 1975, 10, 45 – 99. | en_US |
dc.identifier.citedreference | Winsberg, S., & Carroll, J. D. A metric and quasi-nonmetric method for fitting an extended Euclidean model postulating both common and specific dimensions. Psychometrika, in press. | en_US |
dc.identifier.citedreference | Zinnes, J. L., & Griggs, R. A. Probabilistic, multidimensional unfolding analysis. Psychometrika, 1974, 39, 327 – 350. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.