
Resumo:
Multidimensional item response theory (MIRT) models use data from individual item responses to estimate multiple latent traits of interest, making them useful in educational and psychological measurement, among other areas. When MIRT models are applied in practice, it is not uncommon to see that not all items are designed to measure all latent traits while some items may only measure one or two traits. In order to facilitate a clear expression of which items measure which traits and formulate such relationship as a math function in MIRT models, we applied the concept of the Q-matrix commonly used in diagnostic classification models to the MIRT models. In this study, we introduced how to incorporate a Q-matrix into an existing MIRT model, and demonstrated benefits of the proposed model through a simulation study and a study applied to real data.