Item response theory (IRT) is currently the dominant methodological paradigm in educational and psychological measurement. IRT models are based on assumptions about the relationship between latent traits and observed responses, so the accuracy of the methodology depends heavily on the reasonableness of these assumptions. This dissertation consists…

Item response theory (IRT) refers to a family of mathematical models which describe the relationship between latent continuous variables (attributes or characteristics) and their manifestations (dichotomous/polytomous observed outcomes or responses) with regard to a set of item characteristics. Researchers typically use parametric IRT (PIRT)…