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A Response Model for Multiple-Choice Items
Psychometrika, 1984We introduce an extended multivariate logistic response model for multiple choice items; this model includes several earlier proposals as special cases. The discussion includes a theoretical development of the model, a description of the relationship between the model and data, and a marginal maximum likelihood estimation scheme for the item parameters.
David Thissen, Lynne Steinberg
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Goodness of Fit in Item Response Models
Multivariate Behavioral Research, 1995It is shown that goodness-of-fit criteria developed for the evaluation of multivariate structural models can be applied to assist in evaluating the dimensionality of a test consisting of binary items, and correlative methods regularly employed in factor analysis can be used to diagnose causes of misfit.
R P, McDonald, M M, Mok
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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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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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Metric Stability in Item Response Models
Multivariate Behavioral Research, 2020In item response theory, uncertainty associated with estimated item parameters can lead to greater uncertainty in subsequent analyses, such as estimating trait scores for individual examinees. Most existing methods to characterize or correct for item parameter uncertainty implicitly assume that the latent trait continuum is fixed across the posterior ...
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Item Response Modeling of Presence-Severity Items
Applied Psychological Measurement, 2012The 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. Despite the popularity of the P-S format
Ying Liu, Jay Verkuilen
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Item Response Models for Examinee‐Selected Items
Journal of Educational Measurement, 2012In 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 +3 more
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Modelling sequentially scored item responses
British Journal of Mathematical and Statistical Psychology, 2000The 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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Polytomous Item Response Theory Models
2006Polytomous Item Response Theory Models provides a unified, comprehensive introduction to the range of polytomous models available within item response theory (IRT). It begins by outlining the primary structural distinction between the two major types of polytomous IRT models.
Ostini, Remo, Nering, Michael
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Psychometrika, 1994
The item response function (IRF) for a polytomously scored item is defined as a weighted sum of the item category response functions (ICRF, the probability of getting a particular score for a randomly sampled examinee of ability θ). This paper establishes the correspondence between an IRF and a unique set of ICRFs for two of the most commonly used ...
Chang, Hua-Hua, Mazzeo, John
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The item response function (IRF) for a polytomously scored item is defined as a weighted sum of the item category response functions (ICRF, the probability of getting a particular score for a randomly sampled examinee of ability θ). This paper establishes the correspondence between an IRF and a unique set of ICRFs for two of the most commonly used ...
Chang, Hua-Hua, Mazzeo, John
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Identification of a Semiparametric Item Response Model
Psychometrika, 2012AbstractWe consider the identification of a semiparametric multidimensional fixed effects item response model. Item response models are typically estimated under parametric assumptions about the shape of the item characteristic curves (ICCs), and existing results suggest difficulties in recovering the distribution of individual characteristics under ...
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