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Detection of Differential Item Functioning Using the Lasso Approach

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Bibliographic Details
Title: Detection of Differential Item Functioning Using the Lasso Approach
Language: English
Authors: Magis, David, Tuerlinckx, Francis, De Boeck, Paul
Source: Journal of Educational and Behavioral Statistics. Apr 2015 40(2):111-135.
Availability: SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Peer Reviewed: Y
Page Count: 25
Publication Date: 2015
Document Type: Journal Articles
Reports - Research
Descriptors: Test Bias, Test Items, Regression (Statistics), Scores, Bayesian Statistics, Comparative Analysis, Statistical Analysis
DOI: 10.3102/1076998614559747
ISSN: 1076-9986
Abstract: This article proposes a novel approach to detect differential item functioning (DIF) among dichotomously scored items. Unlike standard DIF methods that perform an item-by-item analysis, we propose the "LR lasso DIF method": logistic regression (LR) model is formulated for all item responses. The model contains item-specific intercepts, an effect of the sum score, and item-group interaction (i.e., DIF) effects, with a lasso penalty on all DIF parameters. Optimal penalty parameter selection is investigated through several known information criteria (Akaike information criterion, Bayesian information criterion, and cross validation) as well as through a newly developed alternative. A simulation study was conducted to compare the global performance of the suggested LR lasso DIF method to the LR and Mantel-Haenszel methods (in terms of false alarm and hit rates). It is concluded that for small samples, the LR lasso DIF approach globally outperforms the LR method, and also the Mantel-Haenszel method, especially in the presence of item impact, while it yields similar results with larger samples.
Abstractor: As Provided
Number of References: 46
Entry Date: 2015
Accession Number: EJ1057832
Database: ERIC
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  Data: This article proposes a novel approach to detect differential item functioning (DIF) among dichotomously scored items. Unlike standard DIF methods that perform an item-by-item analysis, we propose the "LR lasso DIF method": logistic regression (LR) model is formulated for all item responses. The model contains item-specific intercepts, an effect of the sum score, and item-group interaction (i.e., DIF) effects, with a lasso penalty on all DIF parameters. Optimal penalty parameter selection is investigated through several known information criteria (Akaike information criterion, Bayesian information criterion, and cross validation) as well as through a newly developed alternative. A simulation study was conducted to compare the global performance of the suggested LR lasso DIF method to the LR and Mantel-Haenszel methods (in terms of false alarm and hit rates). It is concluded that for small samples, the LR lasso DIF approach globally outperforms the LR method, and also the Mantel-Haenszel method, especially in the presence of item impact, while it yields similar results with larger samples.
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