A generalized framework for modelling ordinal data

DOI10.1007/s10260-015-0316-9zbMath1405.62101OpenAlexW2164533657MaRDI QIDQ2013635

Domenico Piccolo, Maria Iannario

Publication date: 8 August 2017

Published in: Statistical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10260-015-0316-9

zbMATH Keywords

ordinal datadiscrete random variablesmaximum likelihood methodsasymptotically efficient inferenceCUP modelsGeCUP modelsordered categorical observationsrating surveyshelter choices

Mathematics Subject Classification ID

Point estimation (62F10) Generalized linear models (logistic models) (62J12)

Related Items (13)

Flexible uncertainty in mixture models for ordinal responses ⋮ Treatment of `don't know' responses in a mixture model for rating data ⋮ Gini heterogeneity index for detecting uncertainty in ordinal data surveys ⋮ A comprehensive framework of regression models for ordinal data ⋮ Varying uncertainty in CUB models ⋮ Generalized residuals and outlier detection for ordinal data with challenging data structures ⋮ Cumulative and CUB Models for Rating Data: A Comparative Analysis ⋮ Modelling uncertainty and response styles in ordinal data ⋮ Analysing sport data with clusters of opposite preferences ⋮ The class of \textsc{cub} models: statistical foundations, inferential issues and empirical evidence ⋮ Discussion of ``The class of CUB models: statistical foundations, inferential issues and empirical evidence ⋮ A model-based fuzzy analysis of questionnaires ⋮ Discussion of ``The class of CUB models: statistical foundations, inferential issues and empirical evidence

Uses Software

• CUB
• catdata

Cites Work

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• Modelling shelter choices in a class of mixture models for ordinal responses
• Preliminary estimators for a mixture model of ordinal data
• Choosing initial values for the EM algorithm for finite mixtures
• A mixture model for preferences data analysis
• Modeling rating data with nonlinear CUB models
• Varying uncertainty in CUB models
• A theorem on CUB models for rank data
• Regression for Categorical Data
• HierarchicalCUBModels for Ordinal Variables
• Approximation Theorems of Mathematical Statistics
• Partial Proportional Odds Models for Ordinal Response Variables
• The EM Algorithm and Extensions, 2E
• Finite mixture models
• Residual diagnostics for interpreting CUB models
• Modelling Uncertainty and Overdispersion in Ordinal Data

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