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On Keats' Generalization of the Rasch Model

Published online by Cambridge University Press:  01 January 2025

Hans Colonius
Hans Colonius*
Affiliation:
Technische Universität Braunschweig, West Germany
*
Requests for reprints should be sent to Hans Colonius, Institut für Psychologie, Spielmannstrabe 19, D-3300 Braunschweig, West Germany.
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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.

Keywords

consistent MLEconditional inferencestructural and incidental parametersseparability of parameters
Type
Notes And Comments
Information
Psychometrika , Volume 42 , Issue 3 , September 1977 , pp. 443 - 445
Copyright
Copyright © 1977 The Psychometric Society

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References

Andersen, E. B. Conditional inference and models for measuring, 1973, Copenhagen: Mentalhygiejnisk Forlag.Google Scholar
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White, P. O. A note on Keats' generalization of the Rasch model. Psychometrika, 1976, 41, 405–407.CrossRefGoogle Scholar