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A Note on “Constant Latent Odds-Ratios Models and the Mantel–Haenszel Null Hypothesis” Hessen, 2005

Published online by Cambridge University Press:  01 January 2025

Gunter Maris
Gunter Maris*
Affiliation:
CITO, National Institute for Educational Measurement Arnhem
*
Requests for reprints should be sent to Gunter Maris, CITO, P.O. Box 1034, 6801 MG Arnhem, The Netherlands. E-mail: [email protected]
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Abstract

In a recent paper, Hessen (Psychometrika 70(3):497–516, 2005) introduces the class of constant latent odds-ratios models as an extension of the Rasch model for which the sum score is still the sufficient statistic for ability. In this paper the relation between both the general and the general parametric constant latent odds-ratios model and the Rasch model is considered.

Keywords

four-parameter logistic modelconstant latent odds-ratios modelRasch model
Type
Theory and Methods
Information
Psychometrika , Volume 73 , Issue 1 , March 2008 , pp. 153 - 157
Copyright
Copyright © 2007 The Psychometric Society

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References

Barton, M., & Lord, F. (1981). An upper asymptote for the three-parameter logistic item-response model (Technical Report No. 81-20). New York: Educational Testing Service.Google Scholar
Hessen, D.J. (2005). Constant latent odds-ratios models and the Mantel–Haenszel null hypothesis. Psychometrika, 70(3), 497–516.CrossRefGoogle Scholar
Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests, Copenhagen: The Danish Institute of Educational Research. Expanded edition, 1980. Chicago: The University of Chicago Press.Google Scholar