Multivariate Analysis of Multiple Response Data
Tóm tắt
Multiple response questions, also known as a pick any/J format, are frequently encountered in the analysis of survey data. The relationship among the responses is difficult to explore when the number of response options, J, is large. The authors propose a multivariate binomial probit model for analyzing multiple response data and use standard multivariate analysis techniques to conduct exploratory analysis on the latent multivariate normal distribution. A challenge of estimating the probit model is addressing identifying restrictions that lead to the covariance matrix specified with unit-diagonal elements (i.e., a correlation matrix). The authors propose a general approach to handling identifying restrictions and develop specific algorithms for the multivariate binomial probit model. The estimation algorithm is efficient and can easily accommodate many response options that are frequently encountered in the analysis of marketing data. The authors illustrate multivariate analysis of multiple response data in three applications.
Từ khóa
Tài liệu tham khảo
Anderson T.W., 1984, An Introduction to Multivariate Statistical Analysis.
Andrews Kelly, J., 1999, Target Marketing, 22, 36
Baier Martin, 1996, How to Find and Cultivate Customers Through Direct Marketing.
Barnard John, 2000, Statistica Sinica, 10, 1281
Billingsley Patrick, 1979, Probability and Measure.
Day George S., 1976, Identifying Competitive Product-Market Boundaries: Strategic and Analytical Issues.
Johnson Richard A., 1998, Applied Multivariate Analysis.
Jöreskog Karl G., 1996, LISREL 8: User's Reference Guide.
Jöreskog Karl G., 1996, PRELIS 2: User's Reference Guide.
Kendall Maurice, 1979, The Advanced Theory of Statistics, 2
Muthen Linda, 1998, Mplus User's Guide.
Myers James H., 1977, Market Structure Analysis.
van Nierop Erjen, 2000, “Modeling Unobserved Consideration Sets for Household Panel Data,”
Olsson Ulf, 1980, Journal of Marketing Research, 17, 391
Schmid Jack, 1998, Desktop Database Marketing.
Slater Robert Bruce, 1991, Bankers Monthly, 108, 5A
Stone Bob, 1997, Successful Direct Marketing Methods.
Wedel Michel, 1996, Journal of Business and Economic Statistics, 14, 447, 10.1080/07350015.1996.10524674