The author discusses an information-theoretic approach to testing the exact order of an individual's brand choice process and compares it with alternative tests that perform a similar task. Special focus is on the relative statistical power of the various tests when limited choice sequences are available. Considering computational complexity and statistical power, the author suggests instances in which the information-theoretic test is preferred.
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References
1.
AndersonT. W., and GoodmanL. A. (1957), “Statistical Inference About Markov Chains,”The Annals of Mathematical Statistics, 28(March), 89–110.
2.
AttneaveF. (1959), Applications of Information Theory to Psychology.New York: Holt, Rinehart and Winston.
3.
BassF. M. (1974), “The Theory of Stochastic Preference and Brand Switching,”Journal of Marketing Research, 11(February), 1–20.
4.
BassF. M., and GivonM. M., and KalwaniM. U., and ReibsteinD., and WrightG. P. (1984), “An Investigation into the Order of the Brand Choice Process,”Marketing Science, 3, 267–87.
5.
CorstjensJ. L., and GautschiD. A. (1983), “Formal Choice Models in Marketing,”Marketing Science,2, 19–56.
6.
DodsonJ. A. (1976), “An Information Measure for Determining the Order of Individual Brand Choice Process,”Proceedings of the American Statistical Association, 69–72.
7.
FrankR. E. (1962), “Brand Choice as a Probability Process,” in Quantitative Techniques in Marketing Analysis, FrankR. E., and KuehnA. A., and MassyW. F., eds. Homewood, IL: Richard D. Irwin, Inc.
8.
FreundJ. E. (1971), Mathematical Statistics, 2nd ed.Englewood Cliffs, NJ: Prentice-Hall, Inc.
9.
GallagherR. (1968), Information Theory and Reliable Communication.New York: John Wiley & Sons, Inc.
10.
GarnerW. R. (1968), Uncertainty and Structure as Psychological Concepts.New York: John Wiley & Sons, Inc.
11.
HauserJ. R. (1978), “Testing the Accuracy, Usefulness, and Significance of Probabilistic Choice Models: An Information-Theoretic Approach,”Operations Research, 26, 406–21.
12.
JeulandA. P. (1978), “Brand Preference Over Time: A Partially Deterministic Operationalization of the Notion of Variety Seeking,” in Research Frontiers in Marketing: Dialogues and Directions, AMA 1978 Educators’ Conference Proceedings, JainS., ed. Chicago: American Marketing Association.
13.
KahnB., and MorrisonD. G. (1984), “Limitations of Panel Data in the Testing and Estimation of Choice Models,” working paper, Graduate School of Management, University of California, Los Angeles.
14.
KalwaniW. U., and MorrisonD. G. (1977), “A Parsimonious Description of the Hendry System,”Management Science, 23, 467–77.
15.
KeonJ. W. (1980), “The Bargain Value Model and a Comparison of Managerial Implications with the Linear Learning Model,”Management Science, 26(November), 1117–30.
16.
KinchinA. I. (1957), Mathematical Foundations of Information Theory.New York: Dover.
17.
KuehnA. A. (1962), “Consumer Brand Choice—A Learning Process?” in Quantitative Techniques in Marketing Analysis, FrankR. E., and KuehnA. A., and MassyW. R., eds. Homewood, IL: Richard D. Irwin, Inc.
18.
MassyW. F., and MontgomeryD. B., and MorrisonD. G. (1970), Stochastic Models of Buying Behavior.Cambridge, MA: MIT Press.
19.
McAlisterL. (1982), “A Dynamic Attribute Satiation Model of Variety-Seeking Behavior,”Journal of Consumer Research, 9(September), 141–50.
20.
McMillanB. (1953), “The Basic Theorems of Information Theory,”Annals of Mathematical Statistics, 24, 196–219.
21.
MillerG. A., and FrickF. C. (1949), “Statistical Behavioristics and Sequences of Responses,”Psychological Review, 56, 311–24.
22.
MorrisonD. F. (1976), Multivariate Statistical Methods.New York: McGraw-Hill Book Company.
23.
MorrisonD. G. (1966), “Testing Brand-Switching Models,”Journal of Marketing Research, 3(November), 401–9.
24.
RubinsonJ. R., and VanhonackerW. R., and BassF. M. (1980), “On ‘A Parsimonious Description of the Hendry System’,”Management Science, 26, 215–26.
25.
SawyerA. G., and BallA. D. (1981), “Statistical Power and Effect Size in Marketing Research,”Journal of Marketing Research, 18(August), 275–90.
26.
ShannonC., and WeaverW. (1949), The Mathematical Theory of Communications.Evanston, IL: University of Illinois Press.
27.
StarrM. K. (1980), “Some New Fundamental Considerations of Variety-Seeking Behavior,”Behavioral Science, 25, 171–9.
28.
TheilH. (1965), “The Information Approach to Demand Analysis,”Econometrics, 33, 67–87.
29.
WilsonA. G. (1970), “The Uses of the Concept of Entropy in System Modelling,”Operations Research Quarterly, 21, 247–65.