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On Equivalence between a Partial Credit Item and a Set of Independent Rasch Binary Items

Published online by Cambridge University Press:  01 January 2025

Huynh Huynh
Huynh Huynh*
Affiliation:
University of South Carolina
*
Requests for reprints should be sent to Huynh Huynh, College of Education, University of South Carolina, Columbia, SC 29208.
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Abstract

Given a Masters partial credit item with n known step difficulties, conditions are stated for the existence of a set of (locally) independent Rasch binary items such that their raw score and the partial credit raw score have identical probability density functions. The conditions are those for the existence of n positive values with predetermined elementary symmetric functions and include the requirement that the n step difficulties form an increasing sequence.

Keywords

elementary symmetric functionsfree-response itemgraded response modelpartial credit modelperformance assessmentopen-ended itemRasch model

Information

Type
Article
Information
Psychometrika , Volume 59 , Issue 1 , March 1994 , pp. 111 - 119
Copyright
Copyright © 1994 The Psychometric Society

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Footnotes

The author wishes to thank an anonymous reviewer for several thoughtful comments and for providing references to earlier works by Andersen and Rasch on unidimensional models for polytomous items.

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