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The Growing Family of Rasch Models

  • Chapter
Essays on Item Response Theory

Part of the book series: Lecture Notes in Statistics ((LNS,volume 157))

Abstract

A family of Rasch models is defined in terms of the prominent properties of all Rasch models, that is, separability, sufficiency, specific objectivity, and latent additivity. It is argued that concepts such as item homogeneity, person homogeneity, and unidimensionality do not hold for all generalizations of the Rasch model (RM). Four directions of generalizing the model are discussed: the multidimensional, the ordinal polytomous, the linear logistic, and the mixture distribution generalization. A hierarchical system of generalized Rasch models is presented. Four out of these eight models are discussed in the literature and can be applied by means of reliable computer software.

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Authors and Affiliations

  1. Institute for Science Education, University of Kiel, Olshausenstr. 62, D-24098, Kiel, Federal Republic of Germany

    Jürgen Rost

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  1. Jürgen Rost
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Editors and Affiliations

  1. Department of Statistics and Measurement Theory, University of Groningen, Grote Kruisstraat 2/1, 9712 TS, Groningen, The Netherlands

    Anne Boomsma , Marijtje A. J. van Duijn  & Tom A. B. Snijders ,  & 

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Rost, J. (2001). The Growing Family of Rasch Models. In: Boomsma, A., van Duijn, M.A.J., Snijders, T.A.B. (eds) Essays on Item Response Theory. Lecture Notes in Statistics, vol 157. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0169-1_2

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  • DOI: https://doi.org/10.1007/978-1-4613-0169-1_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95147-8

  • Online ISBN: 978-1-4613-0169-1

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