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Remarks and a Correction of Ligtvoet’s Treatment of the Isotonic Partial Credit Model

Published online by Cambridge University Press:  01 January 2025

Rudy Ligtvoet
Rudy Ligtvoet*
Affiliation:
University of Amsterdam
*
Requests for reprints should be sent to Rudy Ligtvoet, Department of Pedagogical and Educational Science, University of Amsterdam, Nieuwe Prinsengracht 130, 1018 VZ Amsterdam, The Netherlands. E-mail: [email protected]
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Abstract

This note contains some remarks on Ligtvoet’s (Psychometrika, 77:479–494, 2012) treatment of the isotonic partial credit model. The Proposition relating to the observable property MWI is shown to be false.

Keywords

isotonic partial credit modelitem response theory
Type
Original Paper
Information
Psychometrika , Volume 80 , Issue 2 , June 2015 , pp. 514 - 515
Copyright
Copyright © 2013 The Psychometric Society

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References

Bartolucci, F., & Forcina, A. (2005). Likelihood inference on the underlying structure of IRT models. Psychometrika, 70, 31–43.CrossRefGoogle Scholar
Holland, P.W., & Rosenbaum, P.R. (1986). Conditional association and unidimensionality in monotone latent variable models. The Annals of Statistics, 14, 1523–1543.CrossRefGoogle Scholar
Karlin, S., & Rinott, Y. (1980). Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions. Journal of Multivariate Analysis, 10, 467–498.CrossRefGoogle Scholar
Ligtvoet, R. (2012). An isotonic partial credit model for ordering subjects on the basis of their sum scores. Psychometrika, 77, 479–494.CrossRefGoogle ScholarPubMed
Stanley, R.P. (1986). Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Annals of the New York Academy of Sciences, 576, 500–535.CrossRefGoogle Scholar