Mixture Models for Ordinal Responses with a Flexible Uncertainty Component

Tutz, Gerhard und Schneider, Micha (24. February 2017): Mixture Models for Ordinal Responses with a Flexible Uncertainty Component. Department of Statistics: Technical Reports, No.203

Abstract

In classical mixture models for ordinal data with an uncertainty component the uniform distribution is used to model indecision. In the approach proposed here the discrete uniform distribution is replaced by a more exible distribution, which is centered in the middle of the response categories.The resulting model allows to distinguish between a tendency to middle categories and a tendency to extreme categories. By linking these preferences to explanatory variables one can investigate which persons show a tendency to these response styles. It is demonstrated that severe bias might occur if inadvertently the uniform distribution is used to model uncertainty. An application to attitudes on the performance of health services illustrates the advantages of the more exible model.

• Item Type: Paper
• Keywords: Ordinal responses, response styles, rating scales, mixture models, CUP model, CUB model
• Faculties: Mathematics, Computer Science and Statistics > Statistics > Technical Reports
• Subjects: 500 Science > 510 Mathematics
• Language: English