1. Ordinal Regression Models in Psychology: A Tutorial
- Author
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Vuorre, Matti, Bürkner, Paul, and Bürkner , Paul
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Ordinal data ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Mathematical Psychology ,bepress|Social and Behavioral Sciences|Psychology|Quantitative Psychology ,Social and Behavioral Sciences ,01 natural sciences ,Ordinal regression ,010104 statistics & probability ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Experimental Design and Sample Surveys ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Quantitative Psychology ,0504 sociology ,Statistics ,Psychology ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Statistical Methods ,Detection theory ,0101 mathematics ,General Psychology ,05 social sciences ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Computational Modeling ,050401 social sciences methods ,Quantitative Psychology ,Statistical model ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Psychometrics ,FOS: Psychology ,Mathematics::Logic ,PsyArXiv|Social and Behavioral Sciences ,Open data ,Metric (mathematics) ,bepress|Social and Behavioral Sciences ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods - Abstract
Ordinal variables, while extremely common in Psychology, are almost exclusively analysed with statistical models that falsely assume them to be metric. This practice can lead to distorted effect size estimates, inflated error rates, and other problems. We argue for the application of ordinal models that make appropriate assumptions about the variables under study. In this tutorial article, we first explain the three major ordinal model classes; the cumulative, sequential and adjacent category models. We then show how to fit ordinal models in a fully Bayesian framework with the R package brms, using data sets on stem cell opinions and marriage time courses. Two appendices provide detailed mathematical derivations of the models, and a third practical example that connects ordinal models to Signal Detection Theory with confidence rating data. Ordinal models provide better theoretical interpretation and numerical inference from ordinal data, and we recommend their widespread adoption in Psychology.
- Published
- 2022
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