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An Extension of Item Analysis Procedures to the Case of Polychotomous Response

Published online by Cambridge University Press:  01 January 2025

Frank B. Baker  and
John Gurland
Frank B. Baker
Affiliation:
University of Wisconsin
John Gurland
Affiliation:
University of Wisconsin
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Abstract

Classical item analysis procedures were developed for dichotomously scored items and do not apply to items allowing multiple correct responses. Maximum likelihood procedures analogous to those employed in polychotomous bio-assay are presented which yield estimates of the sets of parameters for items having multiple nonordered responses. Expressions for the estimates of the asymptotic variances of the item parameters and on overall chi-square goodness of fit test are also provided.

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 3 , September 1968 , pp. 259 - 266
Copyright
Copyright © 1968 The Psychometric Society

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