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Expanding the Rasch Model to a General Model having more than One Dimension
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The well-known Rasch model is generalized to a multicomponent model, so that observations of component events are not needed to apply the model. It is shown that the generalized model has retained the property of the specific objectivity of the Rasch model. For a restricted variant of the model, maximum likelihood estimates of its parameters and a statistical test of the model are given. The results of an application to a mathematics test involving six components are described.
Title: Expanding the Rasch Model to a General Model having more than One Dimension
Description:
The well-known Rasch model is generalized to a multicomponent model, so that observations of component events are not needed to apply the model.
It is shown that the generalized model has retained the property of the specific objectivity of the Rasch model.
For a restricted variant of the model, maximum likelihood estimates of its parameters and a statistical test of the model are given.
The results of an application to a mathematics test involving six components are described.
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