Multivariate ordinal random effects models including subject and group specific response style effects. (October 2022)

• Record Type: Journal Article
• Authors: Schauberger, Gunther; Tutz, Gerhard
• Is Part Of: Statistical modelling. Volume 22:Number 5(2022)
• Page Start: 409
• Page End: 429
• Publication Date: 2022-10
• Subjects: adjacent categories model -- Cumulative model -- multivariate ordinal response -- random effects models -- response styles; Linear models (Statistics) -- Periodicals; Mathematical models -- Periodicals; Modèles linéaires (Statistique) -- Périodiques; Modèles mathématiques -- Périodiques; Modèle statistique; Modèle linéaire; Modélisation statistique; Périodique électronique (Descripteur de forme); Ressource Internet (Descripteur de forme); 519.5011
• DOI: 10.1177/1471082X20978034
• Languages: English
• ISSNs: 1471-082X

Abstract

Common random effects models for repeated measurements account for the heterogeneity in the population by including subject-specific intercepts or variable effects. They do not account for the heterogeneity in answering tendencies. For ordinal responses in particular, the tendency to choose extreme or middle responses can vary in the population. Extended models are proposed that account for this type of heterogeneity. Location effects as well as the tendency to extreme or middle responses are modelled as functions of explanatory variables. It is demonstrated that ignoring response styles may affect the accuracy of parameter estimates. An example demonstrates the applicability of the method.