Statistical Modelling 22 (5) (2022), 409–429
Multivariate ordinal random effects models including subject and group specific response style effects
Gunther Schauberger,
Department of Sport and Health Sciences,
Technical University of Munich,
Germany.
Department of Statistics,
LMU Munich,
Munich,
Germany.
e-mail: gunther.schauberger@tum.de
Gerhard Tutz,
Department of Statistics,
LMU Munich,
Munich,
Germany.
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.
Keywords:
adjacent categories model, Cumulative model, multivariate ordinal response, random effects models, response styles
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