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Abstract Details

Activity Number: 683
Type: Contributed
Date/Time: Thursday, August 5, 2010 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and Marketing
Abstract - #307501
Title: A Hierarchical Bayesian Model for the Analysis of Customer Choice Data
Author(s): Zhe Chen*+ and Duncan K.H. Fong
Companies: Penn State and Penn State
Address: 325 Thomas Building, University Park, PA, 16802,
Keywords: Bayesian method ; Multinomial probit model ; correlation matrix
Abstract:

Bayesian multinomial probit models are commonly used to analyze choice data in marketing. Because of identification issues, there is a controversy on the use of covariance matrix versus correlation matrix. Here we provide new insights in favor of using the correlation matrix when only limited choice data are available. We also provide an efficient algorithm to perform the required Bayesian computation. In studying this problem, we have found some mistakes in the literature and offered their corrections in this paper. Synthetic and real data sets are analyzed to illustrate the methodology.


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