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The Polytomous Rasch Model III
, 2019 A category coefficient \( \kappa_{k} \) is the sum of the exceeded thresholds for response category k. The PRM can be rewritten in terms of principal components (Guttman) for the thresholds instead of the thresholds themselves. The principal component \( \lambda \) characterizes the spread of the responses, the principal component \( \eta ...
David Andrich, Ida Marais
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Tests of Fit for Polytomous Rasch Models
, 1995 In this chapter, a number of the tests of model fit for the Rasch model for dichotomous items presented in Chapter 5 are generalized to a class of IRT models for polytomous items. Again, the problem of evaluating model fit is solved in the framework of the general multinomial model, and it is shown that the four types of tests considered in Chapter 5 —
Cees A. W. Glas, Norman D. Verhelst
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Modeling Household Food Insecurity with a Polytomous Rasch Model
, 2020 The Household Food Security Survey Module (HFSSM) is an 18-item scale created and maintained by the US Department of Agriculture (USDA) that measures food insecurity in the United States. The HFSSM includes ten items that reference food hardships among adults in the household and eight items that reference food hardships among children.
Victoria T. Tanaka +2 more
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Ordinal response variation of the polytomous Rasch model
METRON, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir Turetsky, Emil Bashkansky
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Polytomous Rasch Models and their Estimation
, 1995 In this chapter, the polytomous Rasch model is introduced, based on the original formulation by Georg Rasch in the 1960 Berkeley Symposium on Mathematical Statistics and Probability. The various versions of the basic model, suggested in the literature, are briefly mentioned and compared.
Erling B. Andersen
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The Derivation of Polytomous Rasch Models
, 1995 This chapter, analogous to Chapter 2, derives polytomous Rasch models from certain sets of assumptions. First, it is shown that the multidimensional polytomous Rasch model follows from the assumption that there exists a vector-valued minimal sufficient statistic T for the vector-valued person parameter θ, where T is independent of the item parameters ...
Gerhard H. Fischer
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Testing Unidimensionality in Polytomous Rasch Models
Psychometrika, 2002A fundamental assumption of most IRT models is that items measure the same unidimensional latent construct. For the polytomous Rasch model two ways of testing this assumption against specific multidimensional alternatives are discussed. One, a marginal approach assuming a multidimensional parametric latent variable distribution, and, two, a conditional
Christensen, Karl Bang +3 more
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The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models
, 1995 Polytomous Rasch models are derived from a new requirement for objective measurement, the (quasi-)interchangeability of measurement instruments. This principle is introduced as a symmetry restriction on the statistical distribution of a set of measurements. The restriction is formulated as a generalized linear model.
Henk Kelderman
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