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 …

Modeling “don't know” responses in rating scales

M Manisera, P Zuccolotto - Pattern Recognition Letters, 2014 - Elsevier
We propose a probabilistic framework for the treatment of “don't know” responses in surveys
aimed at investigating human perceptions through expressed ratings. The rationale behind …

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 …

Model-based clustering of multivariate ordinal data relying on a stochastic binary search algorithm

C Biernacki, J Jacques - Statistics and Computing, 2016 - Springer
We design a probability distribution for ordinal data by modeling the process generating
data, which is assumed to rely only on order comparisons between categories. Contrariwise …

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 …

Mixture models for ordinal responses to account for uncertainty of choice

G Tutz, M Schneider, M Iannario, D Piccolo - Advances in Data Analysis …, 2017 - Springer
In CUB models the uncertainty of choice is explicitly modelled as a Combination of discrete
Uniform and shifted Binomial random variables. The basic concept to model the response as …

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 …

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 …