Modeling rating data with Nonlinear CUB models

Marica Manisera and Paola Zuccolotto

Computational Statistics & Data Analysis, 2014, vol. 78, issue C, 100-118

Abstract: A general statistical model for ordinal or rating data, which includes some existing approaches as special cases, is proposed. The focus is on the CUB models and a new class of models, called Nonlinear CUB, which generalize CUB. In the framework of the Nonlinear CUB models, it is possible to express a transition probability, i.e. the probability of increasing one rating point at a given step of the decision process. Transition probabilities and the related transition plots are able to describe the state of mind of the respondents about the response scale used to express judgments. Unlike classical CUB, the Nonlinear CUB models are able to model decision processes with non-constant transition probabilities.

Keywords: CUB models; Decision process; Latent variables; Ordinal data; Rating data; Transition probability; Eurobarometer (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:78:y:2014:i:c:p:100-118

DOI: 10.1016/j.csda.2014.04.001

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