Item Response Theory

A note on the interpretation and simulation of reparameterized intercepts in constrained versions of the nominal response model

This is a brief expository paper on reparameterized intercepts under constrained variants of the nominal response model, including the generalized partial credit and partial credit models. Such parameterizations are commonly found in item response …

A Comparison of Limited-Information Test Statistics for a Response Style MIRT Model

An increased use of models for measuring response styles is apparent in recent years with the multidimensional nominal response model (MNRM) as one prominent example. Inclusion of latent constructs representing extreme (ERS) or midpoint response …

Performance of Person-Fit Statistics Under Model Misspecification

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 …

The Monotonic Polynomial Graded Response Model: Implementation and a Comparative Study

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 …

Controlling Acquiescence Bias with Multidimensional IRT Modeling

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 …

Model Selection for Monotonic Polynomial Item Response Models

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 …

Modeling Response Styles in Cross-Country Self-Reports: An Application of a Multilevel Multidimensional Nominal Response Model

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 …