A stochastic multidimensional unfolding approach for representing phased decision outcomes

Psychometrika

Volumn 61, Issue 3, 1996, Pages 485-508

  DeSarbo, Wayne S ^a   Lehmann, Donald R ^b   Carpenter, Gregory ^b   Sinha, Indrajit ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b NONE

Author keywords

Consideration sets; Consumer psychology; Maximum likelihood; Multidimensional scaling; Multidimensional unfolding; Successive categories analysis

Indexed keywords

EID: 0030490965     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294551     Document Type: Article

References (84)

1. Abelson, R. P., & Levi A. (1985). Decision making and decision theory. In G. Lindzey & E. Aronson (Eds.), The handbook of social psychology (Vol. 1, 213-251). New York: Random House.
2. Akaike, H. (1974). A new look at statistical model identification. IEEE transactions on automatic control (Vol. 6), 716-723.
3. Alba, J. W., & Hutchinson, J. W. (1987). Dimensions of consumer expertise. Journal of Consumer Research, 13, 411-454.
4. Belonax, J. A., Jr. (1979). Decision rule uncertainty, evoked set size, and task difficulty as a function of number of choice criteria and information variability. In William L. Wilkie (Ed.), Advances in consumer research (pp. 232-235). Provo, UT: Association for Consumer Research.
5. Belonax, J. A., Jr., & Mittelstaedt, R. A. (1978). Evoked set size as a function of choice criteria and information variability. In H. Keith Hunt (Ed.), Advances in consumer research (pp. 48-51). Provo, UT: Association for Consumer Research.
6. Bettman, J. (1979). An information processing theory of consumer choice. Reading, MA: Addison-Wesley.
7. Bettman, J. R., & Whan Park, C. (1980). Effects of prior knowledge and experience, and phase of the choice process on consumer decision processes: A protocols analysis. Journal of Consumer Research, 12, 234-248.
8. Bettman, J. R., Johnson, E. J., & Payne, J. W. (1993). Consumer decision making. In T. S. Robertson & H. H. Kassayain (Eds.), Handbook of consumer behavior (pp. 50-84). Englewood Cliffs, NJ: Prentice Hall.
9. Biehal, G., & Chakravarti, D. (1986). Consumers' use of memory and external information in choice: Macro and micro perspectives. Journal of Consumer Research, 12, 382-405.
10. Boccara, B. (1989). Modeling choice set formation in discrete choice models. Unpublished doctoral dissertation, Massachusetts Institute of Technology, Department of Civil Engineering.
11. Böckenholt, U., & Böckenholt, I. (1991). Constrained latent class analysis: Simultaneous classification and scaling of discrete choice data. Psychometrika, 56, 699-717.
12. Böckenholt, I., & Gaul, W. (1991). Generalized latent class analysis: A new methodology for market structure analysis. In O. Opitz (Ed.), Conceptual and numerical analysis of data (pp. 367-376). New York: Springer-Verlag.
13. Bozdogan, H. (1987). Model selection and Akaike's information criterion (AIC): The general theory and its analytical extensions. Psychometrika, 52, 345-370.
14. Brisoux, J. E., & Cheron, E. (1990), Brand categorization and product involvement. In Marvin E. Goldberg & Gerald Gorn (Eds.), Advances in consumer research (pp. 101-109). Provo, UT: Association for Consumer Research.
15. Brisoux, J. E., & Laroche, M. (1980). A proposed consumer strategy of simplification for categorizing brands. In John H. Summey & Ronald D. Taylor (Eds.), Evolving marketing thought for 1980 (pp. 112-114). Carbondale, IL: Southern Marketing Association.
16. Brisoux, J. E., & Laroche, M. (1981). Evoked set formation and composition: An empirical investigation under a routinized response behavior situation. In Kent B. Monroe (Ed.), Advances in consumer research (pp. 357-361). Provo, UT: Association for Consumer Research.
17. Brown, J. J., & Wildt, A. R. (1992). Consideration set measurement. Journal of the Academy of Marketing Science, 3, 235-243.
18. Campbell, B. M. (1969). The existence and determinants of evoked set in brand choice behavior. Unpublished doctoral disseration, Columbia University.
19. Carroll, J. D. (1980). Models and methods for multidimensional analysis of preferential choice data. In E. D. Lantermann & H. Feger (Eds.), Similarity and choice (pp. 234-289). Bern: Hans Huber.
20. Crowley, A. E., & Williams, J. H. (1991). An information theoretic approach to understanding the consideration set/awareness set proportion. In Rebecca H. Holman & Michael R. Solomon (Eds.), Advances in consumer research (pp. 780-787). Provo, UT: Association for Consumer Research.
21. Currim, I. S., Meyer, R. J., & Lee, N. (1988). Disaggregate tree-structured modeling of consumer choice. Journal of Marketing Research, 25, 253-265.
22. Dawes, R. M., & Corrigan, B. (1974). Linear models in decision making. Psychological Bulletin, 81, 95-106.
23. DeSarbo, W. S., & Carroll, J. D. (1985). Three-way metric unfolding via weighted alternating least-squares. Psychometrika, 50, 275-300.
24. DeSarbo, W. S., & Hoffman, D. L. (1986). Simple and weighted unfolding MDS threshold models for the spatial analysis of binary data. Applied Psychological Measurement, 10, 247-264.
25. DeSarbo, W. S., & Hoffman, D. L. (1987). Constructing MDS joint spaces from binary choice data: A new multidimensional unfolding threshold model for marketing research. Journal of Marketing Research, 24, 40-54.
26. DeSarbo, W. S., Manrai, A. K., & Manrai, L. A. (1994). Latent class multidimensional scaling: A review of recent development in the marketing and psychometric literature. In R. Bagozzi (Ed.), Handbook of marketing research (pp. 190-222). London, UK: Blackwell Publishing.
27. DeSarbo, W. S., & Rao, V. R. (1984). GENFOLD2: A set of models and algorithms for the general unfolding analysis of preference/dominance data. Journal of Classification, 1, 146-185.
28. DeSarbo, W. S., & Rao, V. R. (1986). A new constrained unfolding model for product positioning. Marketing Science, 5, 1-19.
29. DeSoete, G., Carroll, J. D., & DeSarbo, W. S. (1986). The waundering ideal point model: A probabilistic multidimensional unfolding model for paired comparison data. Journal of Mathematical Psychology, 30, 28-41.
30. Einhorn, H. J. (1970a). The use of nonlinear, noncompensatory models in decision making. Psychological Bulletin, 73, 221-230.
31. Einhorn, H. J. (1970b). Use of nonlinear, noncompensatory models as a function of task and amount of information. Organizational Behavior and Human Performance, 6, 1-27.
32. Einhorn, H. J. (1970c). Use of Nonlinear, noncompensatory models in decision making. Psychological Bulletin, 73, 221-230.
33. Fishbein, M. (1967). Attitude and prediction of behavior. In M. Fishbein (Ed.), Readings in attitude theory and measurement (pp. 477-492). New York: Wiley and Sons.
34. Gensch, D. (1987). A two-stage disaggregate attribute choice model. Marketing Science, 6, 223-231.
35. Hauser, J. R. (1978). Testing the accuracy, usefulness, and significance of probabilistic choice models: An information theoretic approach. Operations Research, 26, 406-421.
36. Hauser, J. R., & Shugan, S. M. (1983). Defensive marketing strategies. Marketing Science, 3, 327-351.
37. Hauser, J. R., & Gaskin, S. (1984). Application of the defender consumer model. Marketing Science, 3, 327-351.
38. Hauser, J. R., & Wernerfelt, B. (1990). An evaluation cost model of evoked sets. Journal of Consumer Research, 16, 393-408.
39. Himmelblau, D. M. (1972). Applied non-linear programming. New York: Harper & Row.
40. Howard, J. A., & Sheth, J. N. (1969). The theory of buyer behavior, New York: John Wiley and Sons.
41. Janis, I. L. (1968). Stages in the decision making process. In R. P. Abelson (Ed.), Theories of cognitive consistency (pp. 577-588). Chicago: Rand McNally.
42. Janis, I. L., & Mann, L. (1977). Decision making, New York: Free Press.
43. Jedidi, K., & DeSarbo, W. S. (1991). A stochastic multidimensional scaling methodology for the spatial representation of three-mode, three-way binary data. Psychometrika, 56, 471-494.
44. Johnson, E. J., & Meyer, R. J. (1984). Compensatory choice models of noncompensatory processes: The effect of varying context. Journal of Consumer Research, 11, 528-541.
45. Johnson, E. J., Meyer, R. J., & Ghosh, S. (1989). When choice models fail: Compensatory models in negatively correlated environments. Journal of Marketing Research, 26, 255-270.
46. Kardes, F. R., Kalyanaram, G., Chandrashekaran, M., & Dornoff, R. J. (1993). Brand retrieval, consideration set composition, consumer choice, and the pioneering advantage. Journal of Consumer Research, 20, 62-75.
47. Klenosky, D. B., & Rethans, A. J. (1989). The formation of consumer choice sets. In M. Houston (Ed.), Advances in consumer research (pp. 13-17). Provo, UT: ACR.
48. Laurent, G., & Lapersonne, E. (1990). Consideration sets of size one (Working paper). Jouy-en-Josas, France: Ecole Des Hautes Etudes Commerciales, Centre HEC-ISA.
49. Lehmann, D. R., & Pan, Y. (in press). Context effects, new brand entry, and consideration sets. Journal of Marketing Research.
50. Lussier, D. A., & Olshavsky, R. W. (1979). Task complexity and contingent processing in brand choice. Journal of Consumer Research, 6, 154-165.
51. McFadden, D. (1978). Modeling the choice of residential locations. In Anders Karlquist, Lars Lundquist, Folke Snickars, & Jorgen W. Weibull (Eds.), Spatial interaction theory and planning models (pp. 75-96). Amsterdam: North-Holland.
52. Narayana, C. L., & Markin, R. J. (1975). Consumer behavior and product performance: An alternative conceptualization. Journal of Marketing, 39, 1-6.
53. Nedungadi, P. (1987). Formation and use of a consideration set: Implications for marketing and research on consumer choice. Unpublished doctoral dissertation, University of Florida, Gainesville.
54. Nedungadi, P. (1990a). Recall and consumer consideration sets: Influencing choice without altering brand evaluations. Journal of Consumer Research, 17, 245-253.
55. Nedungadi, P. (1990b). Consideration sets: A brief review of issues (Working paper). Toronto, ON: University of Toronto, Faculty of Management.
56. Payne, J. W., (1976). Task complexity and contingent processing in decision making: An information search and protocol analysis. Organizational Behavior and Human Performance, 16, 366-387.
57. Payne, J. W. (1982). Contingent decision behavior. Psychological Bulletin, 92, 382-402.
58. Payne, J. W., Bettman, J. R., & Johnson, E. J. (1990). The adaptive decision maker. In R. M. Hogarth (Ed.), Insights in decision making (pp. 129-153). Chicago: University of Chicago Press.
59. Powell, M. J. D. (1977). Restart procedures for the conjugate gradient method. Mathematical Programming, 12, 241-254.
60. Punj, G. N., & Staelin, R. (1978). The choice process for graduate business schools. Journal of Marketing Research, 15, 588-598.
61. Ratneshwar, S., & Shocker, A. D. (1991). Substitution in use and the role of usage context in product category structures. Journal of Marketing Research, 28, 281-295.
62. Roberts, J. H. (1989). A grounded model of consideration set size and composition. In Thomas K. Shrull (Ed.), Advances in consumer research (pp. 749-757). Provo, UT: Association for Consumer Research.
63. Roberts, J. H., & Lattin, J. M. (1991). Development and testing of a model of consideration set composition. Journal of Marketing Research, 28, 429-440.
64. Rosenberg, M. J. (1956). Cognitive structures and attitudinal affect. Journal of Abnormal and Social Psychology, 53, 367-372.
65. Schwarz, G. (1978). Estimating the dimension of a model. Annals of Statistics. 6, 461-464.
66. Sclove, S. L. (1987). Application of model selection criteria to some problems in multivariate analysis. Psychometrika, 52, 333-343.
67. Shocker, A. D., Ben-Akiva, M., Boccara, B., & Nedungadi, P. (1991). Consideration set influences on customer decision-making and choice: Issues, models, and suggestions. Marketing letters, 2, 181-198.
68. Shugan, S. M. (1980). The cost of thinking. Journal of Consumer Research, 7, 99-111.
69. Silk, A. J., & Urban, G. L. (1978). Pre-test market evaluation of new packaged goods: A model and measurement methodology. Journal of Marketing Research, 15, 171-191.
70. Simon, H. (1957). Models of man. New York: Wiley and Sons.
71. Simonson, I., & Tversky, A. (1992). Choice in context: Trade-off contrast and extremism aversion. Journal of Marketing Research, 29, 281-295.
72. Sneath, P. H., & Sneath, R. R. (1973). Numerical taxonomy. San Francisco: W. H. Freeman.
73. Spiggle, S., & Sewall, M. A. (1987). A choice sets model of retail selection. Journal of Marketing, 51, 97-111.
74. Swait, J. (1984). Probabilistic choice set formation in transportation demand models. Unpublished doctoral dissertation, Massachusetts Institute of Technology, Cambridge, MA.
75. Takane, Y. (1981). Multidimensional successive categories scaling: A maximum likelihood method. Psychometrika, 46, 9-28.
76. Takane, Y., & Carroll, J. D. (1981). Nonmetric maximum likelihood scaling from directional rankings of similarities. Psychometrika, 46, 389-405.
77. Troye, S. V. (1984) Evoked set formation as a categorization process. In T. C. Kinnear (Ed.), Advances in consumer research (Vol. 11, pp. 180-186). Provo, UT: ACR.
78. Tversky, A. (1972). Elimination by aspects: A theory of choice. Psychological Review, 79(4), 281-289.
79. Tversky, A., & Sattath, S. (1979). Preference Trees. Psychological Review, 86, 542-573.
80. Urban, G. L., & Hauser, J. R. (1993). Design and marketing of new products (2nd ed.). Clifton Heights, NJ: Prentice Hall.
81. Urban, G. L., Hulland, J. S., & Weinberg, B. D. (1993). Premarket forecasting for new consumer durable goods: Modeling categorization, elimination, and consideration phenomena. Journal of Marketing, 57, 47-63.
82. Wilkie, W. L., & Pessemier, E. A. (1973). Issues in marketing's use of multi-attribute models. Journal of Marketing Research, 10, 428-441.
83. Wright, P. (1975). Consumer choice strategies: Simplifying vs. optimizing. Journal of Marketing Research, 12, 60-67.
84. Wright, P., & Barbour, F. (1977). Phased decision strategies: Sequels to initial screening. In Marting Starr & Milan Zeleny (Eds.), Multiple criteria decision making (pp. 91-109, North Holland TIMS Studies in Management Science). Amsterdam: North Holland.