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The Polytomous Rasch Model II

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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Multilevel Rasch Models

2007
Over the past few years, several studies have investigated and demonstrated the relationships between generalized linear mixed models (GLIMM) and item response modeling. Some benefits associated with this GLIMM-based modeling framework include the modeling of nested structure of data, such as examinees nested within schools (Kamata, 2001), of ...
Akihito Kamata, Yuk Fai Cheong
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Rasch Models for Item Bundles

Psychometrika, 1995
This paper discusses the application of a class of Rasch models to situations where test items are grouped into subsets and the common attributes of items within these subsets brings into question the usual assumption of conditional independence.
Wilson, Mark, Adams, Raymond J.
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Graphical Rasch Models

2002
This paper defines a class of multivariate models combining features of Rasch type models with features of graphical interaction models into a common framework for analysis of criterion related construct validity and differential item functioning. Item analysis by Graphical Rasch models is illustrated with reanalysis of a summary Health scale counting ...
Kreiner, Svend, Christensen, Karl Bang
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The Rasch Measurement Model

Journal of Early Intervention, 1992
The Rasch scaling model has been used to advance the development and application of tests in various fields including education, medicine, and psychology. The Rasch model has the potential for overcoming several problems which currently plague developmental measures in early intervention.
SCOTT SNYDER, ROBERT SHEEHAN
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Rasch models overview.

Journal of applied measurement, 2002
This overview of Rasch measurement models begins with a conceptualization of our continuous experiences that are often captured as discrete observations. It goes on to discuss the properties that are require of measures if they are to transcend the occasion in which they were collected, and concludes with a discussion the spiral of inferential ...
B D, Wright, M, Mok
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Multilevel Rasch Modeling: Does Misfit to the Rasch Model Impact the Regression Model?

The Journal of Experimental Education, 2019
Multilevel Rasch models are increasingly used to estimate the relationships between test scores and student and school factors.
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Le Modele De Rasch

Toegepaste Taalwetenschap in Artikelen, 1988
This paper provides an elementary introduction to the one parameter psychometric model known as the Rasch model. It explains the basic principles underlying the model and the concepts of unidimensionality, local stochastic independence, and additivity in non-mathematical terms.
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Testing the Rasch Model

1995
In this chapter, it is shown that the problem of evaluating model fit can be solved within the framework of the general multinomial model, and it is shown how tests for this framework can be adapted to the Rasch model. Four types of tests are considered: generalized Pearson tests, likelihood ratio tests, Wald tests, and likelihood ratio tests.
Cees A. W. Glas, Norman D. Verhelst
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16 Rasch Models

2006
Publisher Summary This chapter begins with the history of the Rasch models (RM) and also discusses some basic concepts and properties of the RM. According to Georg Rasch, the RM should have the following property: a nontrivial likelihood function should exist, which is a function of the item parameters but is independent of the person parameters, and
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