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Item Response Models

1985
The purpose of this chapter is to introduce a wide array of mathematical models that have been used in the analysis of educational and psychological test data. Each model consists of (1) an equation linking (observable) examinee item performance and a latent (unobservable) ability and (2) several of the assumptions described in chapter 2 plus others ...
Ronald K. Hambleton, Hariharan Swaminathan   +1 more
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Item Response Modeling

2011
Item response models are applied for analyzing item scores of psychological and intelligence tests, and they are based on exponential relationships between the psychological traits and the item responses (Baker and Kim 2004; De Boeck and Wilson 2004). Items are usually questions with “yes” or “no” answers.
Ton J. Cleophas, Aeilko H. Zwinderman
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Modelling sequentially scored item responses

British Journal of Mathematical and Statistical Psychology, 2000
The sequential model can be used to describe the variable resulting from a sequential scoring process. In this paper two more item response models are investigated with respect to their suitability for sequential scoring: the partial credit model and the graded response model.
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Randomized Item Response Theory Models

Journal of Educational and Behavioral Statistics, 2005
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.
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Item Response Models for Examinee‐Selected Items

Journal of Educational Measurement, 2012
In some tests, examinees are required to choose a fixed number of items from a set of given items to answer. This practice creates a challenge to standard item response models, because more capable examinees may have an advantage by making wiser choices. In this study, we developed a new class of item response models to account for the choice effect of
Wen‐Chung Wang, Kuan‐Yu Jin, Xue‐Lan Qiu, Lei Wang   +3 more
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A Taxonomy of Item Response Models

Psychometrika, 1986
A number of models for categorical item response data have been proposed in recent years. The models appear to be quite different. However, they may usefully be organized as members of only three distinct classes, within which the models are distinguished only by assumptions and constraints on their parameters.
Thissen, David, Steinberg, Lynne
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Item Response Modeling of Presence-Severity Items

Applied Psychological Measurement, 2012
The Presence-Severity (P-S) format refers to a compound item structure in which a question is first asked to check the presence of the particular event in question. If the respondent provides an affirmative answer, a follow-up is administered, often about the frequency, density, severity, or impact of the event.
Ying Liu, Jay Verkuilen
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