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A Note on Keats' Generalization of the Rasch Model

Published online by Cambridge University Press:  01 January 2025

P. O. White
P. O. White*
Affiliation:
University of London
*
Requests for reprints should be sent to P.O. White, Department of Psychology, Institute of Psychiatry, DeCrespigny Park, London SE5 8AF England.
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Abstract

An alternative derivation is given for a simple test model which incorporates an ability parameter for the subject and difficulty level and guessing parameters for the problem. The probability of a correct response to the problem is a projective transformation of the problem difficulty. The ability and difficulty parameters separate into additive components.

Keywords

problem solvingabilitydifficulty levelguessing constantprojective transformationseparability
Type
Original Paper
Information
Psychometrika , Volume 41 , Issue 3 , September 1976 , pp. 405 - 407
Copyright
Copyright © 1976 The Psychometric Society

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References

Keats, J. A. Applications of projective transformations to test theory. Psychometrika, 1974, 39, 359–360.CrossRefGoogle Scholar
Rasch, G. Probabilistic models for some intelligence and attainment tests, 1960, Copenhagen: Nielsen and Lydiche (for Danmark Paedagogiske Institut).Google Scholar