Different approaches to modeling response styles in Divide-by-Total IRT models (Part II): Applications and novel extensions

Many approaches in the Item Response Theory (IRT) literature have incorporated response styles to control for potential biases. However, the specific assumptions about response styles are often not made explicit. Having integrated different IRT modeling variants into a superordinate framework, we highlighted assumptions and restrictions of the models (Henninger & Meiser, 2019). In this article, we show that based on the superordinate framework, we can estimate the different models as multidimensional extensions of the Nominal Response Models in standard software environments. Furthermore, we illustrate the differences in estimated parameters, restrictions, and model fit of the IRT variants in a German Big Five standardization sample and show that psychometric models can be used to debias trait estimates. Based on this analysis, we suggest two novel modeling extensions that combine fixed and estimated scoring weights for response style dimensions, or explain discrimination parameters through item attributes. In summary, we highlight possibilities to estimate, apply, and extend psychometric modeling approaches for response styles in order to test hypotheses on response styles through model comparisons.