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On the use of heterogeneous thresholds ordinal regression models to account for individual differences in response style
Authors:Timothy?R.?Johnson  author-information"  >  author-information__contact u-icon-before"  >  mailto:trjohns@uidaho.edu"   title="  trjohns@uidaho.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Statistics, University of Idaho, 83844-1104 Moscow, ID, USA
Abstract:This paper proposes a general approach to accounting for individual differences in the extreme response style in statistical models for ordered response categories. This approach uses a hierarchical ordinal regression modeling framework with heterogeneous thresholds structures to account for individual differences in the response style. Markov chain Monte Carlo algorithms for Bayesian inference for models with heterogeneous thresholds structures are discussed in detail. A simulation and two examples based on ordinal probit models are given to illustrate the proposed methodology. The simulation and examples also demonstrate that failing to account for individual differences in the extreme response style can have adverse consequences for statistical inferences.The author is grateful to Ulf Böckenholt, an associate editor, and three anonymous reviewers for helpful comments, and Kristine Kuhn and Kshiti Joshi for providing the data.
Keywords:response style  ordinal regression  hierarchical regression models  probit models  Bayesian statistics
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