Abstract In educational and psychological measurement, a person-fit statistic (PFS) is designed to identify aberrant response patterns. For parametric PFSs, valid inference depends on several assumptions, one of which is that the item response theory …
We present a monotonic polynomial graded response (GRMP) model that subsumes the unidimensional graded response model for ordered categorical responses and results in flexible category response functions. We suggest improvements in the …
Acquiescence is a commonly observed response style that may distort respondent scores. One approach to control for acquiescence involves creating a balanced scale and computing sum scores. Other model-based approaches may explicitly include an …
One flexible approach for item response modeling involves use of a monotonic polynomial in place of the linear predictor for commonly used parametric item response models. Since polynomial order may vary across items, model selection can be …
We examined the feasibility and results of a multilevel multidimensional nominal response model (ML-MNRM) for measuring both substantive constructs and extreme response style (ERS) across countries. The ML-MNRM considers within-country clustering …
Lagrange multiplier (LM) or score tests have seen renewed interest for the purpose of diagnosing misspecification in item response theory (IRT) models. LM tests can also be used to test whether parameters differ from a fixed value. We argue that the …
We present a semi-parametric approach to estimating item response functions (IRF) useful when the true IRF does not strictly follow commonly used functions. Our approach replaces the linear predictor of the generalized partial credit model with a …