Abstract
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. An interesting property of this requirement is that it does not assume conditionally independent item responses. This new requirement is related to the assumption of a Rasch model: the model is shown to be equivalent to the conditional or (extended) Rasch model; if the assumption of local independence is added, it is shown to be closely related to the original Rasch model.
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© 1995 Springer-Verlag New York, Inc.
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Kelderman, H. (1995). The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models. In: Fischer, G.H., Molenaar, I.W. (eds) Rasch Models. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4230-7_17
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DOI: https://doi.org/10.1007/978-1-4612-4230-7_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8704-9
Online ISBN: 978-1-4612-4230-7
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