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Acceleration model in the heterogeneous case of the general graded response model
Psychometrika, 1995 A new model, called acceleration model, is proposed in the framework of the heterogenous case of the graded response model, based on processing functions defined for a finite or enumerable number of steps. The model is expected to be useful in cognitive assessment, as well as in more traditional areas of application of latent trait models. Criteria for
Fumiko Samejima
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THE GRADED UNFOLDING MODEL: A UNIDIMENSIONAL ITEM RESPONSE MODEL FOR UNFOLDING GRADED RESPONSES
ETS Research Report Series, 1996 ABSTRACTBinary or graded disagree‐agree responses to attitude items are often collected for the purpose of attitude measurement. Although such data are sometimes analyzed with cumulative measurement models, recent investigations suggest that unfolding models are more appropriate (Roberts, 1995; Van Schuur & Kiers, 1994).
James S. Roberts, James E. Laughlin
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A Note on the Equivalence of the Graded Response Model and the Sequential Model
Psychometrika, 2001 This paper concerns items that consist of several item steps to be responded to sequentially. The item score X is defined as the number of correct responses until the first failure. Samejima's graded response model states that each step h =1,...,
Bechger, T.M., Akkermans, W.
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Recovery of Graded Response Model Parameters
Applied Psychological Measurement, 2012Markov chain Monte Carlo (MCMC) methods enable a fully Bayesian approach to parameter estimation of item response models. In this simulation study, the authors compared the recovery of graded response model parameters using marginal maximum likelihood (MML) and Gibbs sampling (MCMC) under various latent trait distributions, test lengths, and sample ...
Prathiba Natesan
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, 2022 The Graded response model (GRM) with item parameters λ, τ, and person-specific parameters θ.
Julia Porcino (12378381) +3 more
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Detection of Differential Item Functioning in the Graded Response Model
Applied Psychological Measurement, 1993 Methods for detecting differential item functioning (DIF) have been proposed primarily for the item response theory dichotomous response model. Three measures of DIF for the dichotomous response model are extended to include Samejima’s graded ...
Allan Cohen +2 more
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Latent Trait Models and Dichotomization of Graded Responses
Psychometrika, 1986This paper discusses the compatibility of the polychotomous Rasch model with dichotomization of the response continuum. It is argued that in the case of graded responses, the response categories presented to the subject are essentially an arbitrary polychotomization of the response continuum,
Jansen, P.G.W., Roskam, Edward
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A Gibbs‐INLA algorithm for multidimensional graded response model analysis
British Journal of Mathematical and Statistical Psychology, 2023Abstract In this paper, we propose a novel Gibbs‐INLA algorithm for the Bayesian inference of graded response models with ordinal response based on multidimensional item response theory. With the combination of the Gibbs sampling and the integrated nested Laplace approximation (INLA), the new framework avoids the cumbersome tuning ...
Xiaofan Lin +3 more
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