This Monte Carlo study assessed Type I error in differential item functioning analyses using Lord’s chi-square (LC), Likelihood Ratio Test (LRT), and Mantel-Haenszel (MH) procedure. Two research interests were investigated: response theory (IRT) model specification LC the LRT continuity correction MH enhances literature by investigating correct incorrect model-data fit comparing those results t...

In multidimensional item response theory (MIRT), it is possible for the estimate of a subject’s ability in some dimension to decrease after they have answered a question correctly. This paper investigates how and when this type of paradoxical result can occur. We demonstrate that many response models and statistical estimates can produce paradoxical results and that in the popular class of line...

We investigate short-term learning from hints and feedback in a Web-based physics tutoring system. Both the skill of students and the difficulty and discrimination of items were determined by applying item response theory IRT to the first answers of students who are working on for-credit homework items in an introductory Newtonian physics course. We show that after tutoring a shifted logistic i...

Using item response theory (IRT) in computer adaptive test (CAT) is critical to assess learners’ readiness for further learning. This theory has assumptions concerning the mathematical relationship between learner’s abilities and item responses. A numerical value from the theory has potential to decide who the best learner is. The IRT score only provides the learner’s result and lack of the ass...

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