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Activity Number: 314
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and Marketing
Abstract - #308047
Title: Unobserved Change in Conjoint Analysis
Author(s): Thomas Otter*+ and Sylvia Fruehwirth-Schnatter and Regina Tuechler
Companies: The Ohio State University and Johannes Kepler Universitaet Linz and Vienna University of Economics and Business Administration
Address: Department of Marketing & Logistics, Columbus, OH, ,
Keywords: conjoint analysis ; change point ; heterogeneity ; Bayesian Analysis
Abstract:

We develop models of change that are parsimonious in the sense that each respondent is characterized by one vector of regression weights, like in the standard mixed effects model. In the first model every respondent's observation error variance is allowed to change according to a change point process. The change points are modeled as random effects. In the second model change is viewed to affect which attributes are being used by a respondent in forming product evaluations. This may be expressed as a dynamic variable selection problem where indicators pointing to the active variables evolve over the course of the experiment. We model these indicators as random effects that evolve according to a change point process. We conclude with a comparison to an approach where observations separated by change points are independent (conditional on hyper-parameters).


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Revised September, 2007