The purpose of this study was to investigate multidimensional DIF with a simple and nonsimple structure in the context of multidimensional Graded Response Model (MGRM). This study examined and compared the performance of the IRT-LR and Wald test using MML-EM and MHRM estimation approaches with different test factors and test structures in…

Quantitative research on sexual minority youths (SMYs) has likely contributed to misperceptions about the risk and deviance of this population. In part because it often relies on self-reported data from population-based self-administered questionnaires, this research is susceptible to misclassification bias whereby youths who are not SMYs are…

The present study investigates different approaches to adding covariates and the impact in fitting mixture item response theory models. Mixture item response theory models serve as an important methodology for tackling several psychometric issues in test development, including the detection of latent differential item functioning. A Monte Carlo…

Procedures for establishing standards and determining the number of items needed in criterion-referenced measures are reviewed. The discussion of setting a passing score is organized around five factors: performance of others, item content, educational consequences, psychological and financial costs, and measurement error. Classical test theory,…

Psychometricians continue to develop and evaluate methods for linking test scores, both horizontally and vertically. This article describes a social moderation process for articulating (i.e., linking) performance standards across grade levels for an operational state assessment program. The researchers used generated data to evaluate the likely…

The crux in psychometrics is how to estimate the probability that a respondent answers an item correctly on one occasion out of many. Under the current testing paradigm this probability is estimated using all kinds of statistical techniques and mathematical modeling. Multiple evaluation is a new testing paradigm using the person's own personal…

Potential benefits of using item response theory in test construction are evaluated, based on the experience and evidence accumulated during 9 years of using a three-parameter model in the construction of major achievement batteries. Specific benefits covered include obtaining sample-free item calibrations and item-free person measurement,…