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Fit of Responses to the Polytomous Rasch Model
, 2019 One type of fit which examines the consistency of the data with the model begins with the difference between the observed and expected score at the person–item response level, given the parameter estimates. Then a fit statistic can be obtained at both the person (person fit-residual) and item (item fit-residual) level following a parallel sequence of ...
David Andrich, Ida Marais
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Some New and Some Old Results for the Polytomous Rasch Model
, 2002 In the first part, the polytomous Rasch model is discussed as it was presented by Rasch at the Berkeley Symposium in 1960, and published in the Proceedings from the Symposium in 1961. I shall then discuss what was achieved in the next 10 to 15 years as regards estimation and check of the model. As Georg Rasch himself never learned to program a computer,
Erling B. Andersen
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1995
In this chapter, the discrete mixture distribution framework is developed for Rasch models for items with a polytomous ordered response format. Four of these models will be considered, based on different restrictions regarding the so-called threshold distances (Section 20.2).
Matthias von Davier, Jürgen Rost
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In this chapter, the discrete mixture distribution framework is developed for Rasch models for items with a polytomous ordered response format. Four of these models will be considered, based on different restrictions regarding the so-called threshold distances (Section 20.2).
Matthias von Davier, Jürgen Rost
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Residualanalysis in the Polytomous Rasch Model
Psychometrika, 1995Residuals for check of model fit in the polytomous Rasch model are examined. Comparisons are made between using counts for all response pattern and using item totals for score groups for the construction of the residuals. Comparisons are also, for the residuals based on score group totals, made between using as basis the item totals, or using the ...
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A Monte Carlo Approach to Unidimensionality Testing in Polytomous Rasch Models
Applied Psychological Measurement, 2006 Many statistical tests are designed to test the different assumptions of the Rasch model, but only few are directed at detecting multidimensionality. The Martin-Löf test is an attractive approach, the disadvantage being that its null distribution deviates strongly from the asymptotic chi-square distribution for most realistic sample sizes.
Karl Bang Christensen, Svend Kreiner
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Polytomous Rasch Models in Counseling Assessment
Measurement and Evaluation in Counseling and Development, 2017This article provides a brief introduction to the Rasch model. Motivation for using Rasch analyses is provided.
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Quantifying Local, Response Dependence Between Two Polytomous Items Using the Rasch Model
Applied Psychological Measurement, 2012 Models of modern test theory imply statistical independence among responses, generally referred to as local independence. One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model, this article ...
David Andrich +2 more
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Psychometrika, 2003
A normally distributed person-fit index is proposed for detecting aberrant response patterns in latent class models and mixture distribution IRT models for dichotomous and polytomous data.This article extends previous work on the null distribution of person-fit indices for the dichotomous Rasch model to a number of models for categorical data.
von Davier, Matthias, Molenaar, Ivo W.
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A normally distributed person-fit index is proposed for detecting aberrant response patterns in latent class models and mixture distribution IRT models for dichotomous and polytomous data.This article extends previous work on the null distribution of person-fit indices for the dichotomous Rasch model to a number of models for categorical data.
von Davier, Matthias, Molenaar, Ivo W.
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A Derivation of the Polytomous Rasch Model Based on the Most Probable Distribution Method
The Spanish Journal of Psychology, 2014AbstractBoltzmann’s most probable distribution method is applied to derive the Polytomous Rasch model as the distribution accounting for the maximum number of possible outcomes in a test while introducing latent traits, item characteristics, and thresholds as constraints to the system.
NOVENTA, STEFANO +2 more
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An application of dichotomous and polytomous Rasch models for scoring energy insecurity
Energy Policy, 2012Abstract Household food security in the United States has been extensively researched and a number of indexes have been generated. However, household energy security has been largely ignored even though low-income households spend almost equal income shares on food and energy.
Anthony G. Murray, Bradford F. Mills
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