Volume 30, Issue 2 p. 107-122

Logistic Discriminant Function Analysis for DIF Identification of Polytomously Scored Items

Timothy R. Miller

Corresponding Author

Timothy R. Miller

American College Testing

TIMOTHY R. MILLER is Psychometrician, American College Testing, 2201N. Dodge St., PO Box 168, Iowa City, IA 52243. Degrees: BA, MA, PhD, University of Iowa. Specializations: psychometrics and applied statistics.

JUDITH A. SPRAY is Assistant Director, American College Testing, 2201 N. Dodge St., PO Box 168, Iowa City, LA 52243. Degrees: PhD, University of Wisconsin. Specialization: psychometrics.

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Judith A. Spray

Corresponding Author

Judith A. Spray

American College Testing

TIMOTHY R. MILLER is Psychometrician, American College Testing, 2201N. Dodge St., PO Box 168, Iowa City, IA 52243. Degrees: BA, MA, PhD, University of Iowa. Specializations: psychometrics and applied statistics.

JUDITH A. SPRAY is Assistant Director, American College Testing, 2201 N. Dodge St., PO Box 168, Iowa City, LA 52243. Degrees: PhD, University of Wisconsin. Specialization: psychometrics.

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First published: June 1993
Citations: 74

Both coauthors were principal investigators in this research. Therefore, the names are in alphabetical order.

Abstract

The purpose of this article is to present logistic discriminant function analysis as a means of differential item functioning (DIF) identification of items that are polytomously scored. The procedure is presented with examples of a DIF analysis using items from a 27-item mathematics test which includes six open-ended response items scored polytomously. The results show that the logistic discriminant function procedure is ideally suited for DIF identification on nondichotomously scored test items. It is simpler and more practical than polytomous extensions of the logistic regression DIF procedure and appears to fee more powerful than a generalized Mantel-Haenszelprocedure.

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