The Structure of Self-Reported Emotional Experiences: A Mixed-Effects Poisson Factor Model

British Journal of Mathematical and Statistical Psychology (2003), 56, 215–229

15 Pages Posted: 14 Feb 2014

See all articles by Ulf Bockenholt

Ulf Bockenholt

Northwestern University

Wagner A. Kamakura

Rice University

Michel Wedel

University of Maryland - Robert H. Smith School of Business, Marketing Department; University of Groningen - Faculty of Economics and Business

Date Written: 2003

Abstract

Multivariate count data are commonly analysed by using Poisson distributions with varying intensity parameters, resulting in a random-effects model. In the analysis of a data set on the frequency of different emotion experiences we Žfind that a Poisson model with a single random effect does not yield an adequate Ž fit. An alternative model that requires as many random effects as emotion categories requires high-dimensional integration and the estimation of a large number of parameters. As a solution to these computational problems, we propose a factor-analytic Poisson model and show that a two-dimensional factor model Ž ts the reported data very well. Moreover, it yields a substantively satisfactory solution: one factor describing the degree of pleasantness and unpleasantness of emotions and the other factor describing the activation levels of the emotions. We discuss the incorporation of covariates to facilitate rigorous tests of the random-effects structure. Marginal maximum likelihood methods lead to straightforward estimation of the model, for which goodness-of-Žfit tests are also presented.

Suggested Citation

Bockenholt, Ulf and Kamakura, Wagner A. and Wedel, Michel, The Structure of Self-Reported Emotional Experiences: A Mixed-Effects Poisson Factor Model (2003). British Journal of Mathematical and Statistical Psychology (2003), 56, 215–229. Available at SSRN: https://ssrn.com/abstract=2395284

Ulf Bockenholt (Contact Author)

Northwestern University ( email )

2001 Sheridan Road
Evanston, IL 60208
United States

Wagner A. Kamakura

Rice University ( email )

6100 South Main Street
P.O. Box 1892
Houston, TX 77005-1892
United States
(713) 348-6307 (Phone)

Michel Wedel

University of Maryland - Robert H. Smith School of Business, Marketing Department ( email )

College Park, MD 20742
United States
301.405.2162 (Phone)
301.405.0146 (Fax)

HOME PAGE: http://www.rhsmith.umd.edu/marketing/faculty/wedel.html

University of Groningen - Faculty of Economics and Business ( email )

Postbus 72
9700 AB Groningen
Netherlands

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