Detection of differential item functioning using Lagrange multiplier tests

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Abstract

In this paper it is shown that differential item functioning can be evaluated using the Lagrange multiplier test or C. R. Rao's efficient score test. The test is presented in the framework of a number of item response theory (IRT) models such as the Rasch model, the one-parameter logistic model, the two-parameter logistic model, the generalized partial credit model, and the nominal response model. However, the paradigm for detection of differential item functioning presented here applies to other IRT models. The proposed method is based on a test statistic with a known asymptotic distribution. Two examples are given, one using simulated data and one using real data from 1,000 boys and 1,000 girls taking a Dutch secondary examination.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversiteit Twente, Faculteit Toegepaste Onderwijskunde
Number of pages40
Publication statusPublished - 1996

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.96-02

Fingerprint

Lagrange multiplier Test
Differential Item Functioning
Logistic Model
Model Theory
Rasch Model
Score Test
Asymptotic distribution
Test Statistic
Categorical or nominal
Two Parameters
Paradigm
Partial
Model

Keywords

  • Simulation
  • Scores
  • Item Response Theory
  • Secondary Education
  • IR-103764
  • Test Items
  • Item Bias
  • Foreign Countries
  • METIS-136523
  • Secondary School Students

Cite this

Glas, C. A. W. (1996). Detection of differential item functioning using Lagrange multiplier tests. (OMD research report; No. 96-02). Enschede: Universiteit Twente, Faculteit Toegepaste Onderwijskunde.
Glas, Cornelis A.W. / Detection of differential item functioning using Lagrange multiplier tests. Enschede : Universiteit Twente, Faculteit Toegepaste Onderwijskunde, 1996. 40 p. (OMD research report; 96-02).
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Glas, CAW 1996, Detection of differential item functioning using Lagrange multiplier tests. OMD research report, no. 96-02, Universiteit Twente, Faculteit Toegepaste Onderwijskunde, Enschede.

Detection of differential item functioning using Lagrange multiplier tests. / Glas, Cornelis A.W.

Enschede : Universiteit Twente, Faculteit Toegepaste Onderwijskunde, 1996. 40 p. (OMD research report; No. 96-02).

Research output: Book/ReportReportProfessional

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AB - In this paper it is shown that differential item functioning can be evaluated using the Lagrange multiplier test or C. R. Rao's efficient score test. The test is presented in the framework of a number of item response theory (IRT) models such as the Rasch model, the one-parameter logistic model, the two-parameter logistic model, the generalized partial credit model, and the nominal response model. However, the paradigm for detection of differential item functioning presented here applies to other IRT models. The proposed method is based on a test statistic with a known asymptotic distribution. Two examples are given, one using simulated data and one using real data from 1,000 boys and 1,000 girls taking a Dutch secondary examination.

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KW - Scores

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KW - Secondary Education

KW - IR-103764

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KW - Item Bias

KW - Foreign Countries

KW - METIS-136523

KW - Secondary School Students

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Glas CAW. Detection of differential item functioning using Lagrange multiplier tests. Enschede: Universiteit Twente, Faculteit Toegepaste Onderwijskunde, 1996. 40 p. (OMD research report; 96-02).