Published online by Cambridge University Press: 01 January 2025
In this study, a new item response theory model is developed to account for situations in which respondents overreport or underreport their actual opinions on a positive or negativeissue. Such behavior is supposed to be a result of deception and transfer mechanisms. In the proposed model, this behavior is simulated by incorporating a deception term into a multidimensional rating scale model, followed by multiplication by a transfer term, with the two operations performed by an indicator function and a transition matrix separately. The proposed model is presented in a Bayesian framework approximated by Markov chain Monte Carlo algorithms. Through a series of simulations, the parameters of the proposed model are recovered accurately. The methodology is also implemented within an online experimental study to demonstrate the methodology’s application.
Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11336-019-09689-y) contains supplementary material, which is available to authorized users.
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.