On Keats' Generalization of the Rasch Model

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1977 English Publisher:Cambridge University Press (CUP)Journal:Psychometrika, volume 42, pages 443-445 (issn: 0033-3123, eissn: 1860-0980,

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Authors: Colonius, Hans;

doi: 10.1007/bf02293662

On Keats' Generalization of the Rasch Model

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Abstract

Parameter estimation for Keats generalization of the Rasch model that takes account of guessing behavior is investigated. It is shown that no minimal sufficient statistics for the ability parameters independent of the difficulty parameters exist. Thus Andersen's conditional inference technique for consistent estimation is not applicable to Keats' model. The notion of separability of the parameters is generalized.

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Technische Universität Braunschweig
Germany

Keywords

Mathematical psychology

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