Item response theory: A basic concept

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Linear Item Response Theory, Nonlinear Item Response Theory, and Factor Analysis: A Unified Framework

What it is now known as item response modeling [for an overview see van der Linden and Hambleton (1997)] originated as an effort to overcome the limitations of the factor model when applied to test items. Test items are most often categorical in nature, whereas the factor model was designed for continuous data. Unfortunately, over the years item response modeling and factor modeling have develo...

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How critical is the concept of the latent trait to modern test theory ? The appeal to some unobservable characteristic modulating response probability can lead to some confusion and misunderstanding among users of psychometric technology. This paper looks at a geometric formulation of item response theory that avoids the need to appeal to unobservables. It draws on concepts in differential geom...

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Randomized Item Response Theory Models

The randomized response (RR) technique is often used to obtain answers on sensitive questions. A new method is developed to measure latent variables using the RR technique because direct questioning leads to biased results. Within the RR technique is the probability of the true response modeled by an item response theory (IRT) model. The RR technique links the observed item response with the tr...

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Paradoxical Results in Multidimensional Item Response Theory

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...

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ژورنال

عنوان ژورنال: Educational Research and Reviews

سال: 2017

ISSN: 1990-3839

DOI: 10.5897/err2017.3147