Ordinal regression: A review and a taxonomy of models

G Tutz - Wiley Interdisciplinary Reviews: Computational …, 2022 - Wiley Online Library
Ordinal models can be seen as being composed from simpler, in particular binary models.
This view on ordinal models allows to derive a taxonomy of models that includes basic …

The class of cub models: statistical foundations, inferential issues and empirical evidence

D Piccolo, R Simone - Statistical Methods & Applications, 2019 - Springer
This paper discusses a general framework for the analysis of rating and preference data that
is rooted on a class of mixtures of discrete random variables. These models have been …

Modelling uncertainty and overdispersion in ordinal data

M Iannario - Communications in Statistics-Theory and Methods, 2014 - Taylor & Francis
In this article we introduce a probability distribution generated by a mixture of discrete
random variables to capture uncertainty, feeling, and overdispersion, possibly present in …

Cumulative and CUB models for rating data: a comparative analysis

D Piccolo, R Simone, M Iannario - International Statistical …, 2019 - Wiley Online Library
Ordinal measurements as ratings, preference and evaluation data are very common in
applied disciplines, and their analysis requires a proper modelling approach for …

A generalized framework for modelling ordinal data

M Iannario, D Piccolo - Statistical Methods & Applications, 2016 - Springer
In several applied disciplines, as Economics, Marketing, Business, Sociology, Psychology,
Political science, Environmental research and Medicine, it is common to collect data in the …

A model-based fuzzy analysis of questionnaires

E Di Nardo, R Simone - Statistical Methods & Applications, 2019 - Springer
In dealing with veracity of data analytics, fuzzy methods are more and more relying on
probabilistic and statistical techniques to underpin their applicability. Conversely, standard …

A comprehensive framework of regression models for ordinal data

M Iannario, D Piccolo - Metron, 2016 - Springer
Literature on the models for ordinal variables grew very fast in the last decades and several
proposals have been advanced when ordered data are expression of ratings, preferences …

Modelling uncertainty and response styles in ordinal data

R Simone, G Tutz - Statistica Neerlandica, 2018 - Wiley Online Library
Mixture models for ordinal responses in the tradition of cub models use the uniform
distribution to account for uncertainty of respondents. A model is proposed that uses more …

An accelerated EM algorithm for mixture models with uncertainty for rating data

R Simone - Computational Statistics, 2021 - Springer
The paper is framed within the literature around Louis' identity for the observed information
matrix in incomplete data problems, with a focus on the implied acceleration of maximum …

Well-being and relational goods: a model-based approach to detect significant relationships

S Capecchi, M Iannario, R Simone - Social Indicators Research, 2018 - Springer
A statistical framework for modelling subjective perceptions expressed through ratings is
presented. The paper deals with the relationships between personal covariates and self …