“…Different families of stochastic models have been proposed to accommodate response styles in psychological assessments with common Likert response formats. On the one hand, traditional IRT models for ordinal responses such as the partial credit or rating scale model were generalized to finite mixture distribution models (e.g., Austin, Deary, & Egan, ; Eid & Rauber, ; Meiser & Machunsky, ; Rost, ; Wetzel, Carstensen, & Böhnke, ), multidimensional IRT models (e.g., Bolt, Lu, & Kim, ; Bolt & Newton, ; Falk & Cai, ; Johnson & Bolt, ; Morren, Gelissen, & Vermunt, ; Wetzel & Carstensen, ) or random‐threshold models (e.g., Jin & Wang, ; Wang, Wilson, & Shih, ; Wang & Wu, ). These extended IRT models maintain the assumption of an ordinal trait‐based response process, according to which the observed rating responses reflect gradual degrees of agreement with the item content, but account for response styles in terms of additional person parameters or in terms of discrete or continuous distributions of random threshold parameters.…”