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Comparison of DIF Detection Performances of Mantel Test and Likelihood Ratio Test
American Journal of Applied Psychology
Volume 5, Issue 6, November 2016, Pages: 38-43
Received: Oct. 20, 2016; Accepted: Nov. 3, 2016; Published: Nov. 25, 2016
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Safiye Bilican Demir, Department of Educational Sciences, Kocaeli University, Kocaeli, Turkey
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The purpose of this study was to investigate Type I error rate of the IRT-Likelihood Ratio (IRT-LR) statistic and Mantel Test in detecting DIF. A multiple replication Monte Carlo study was utilized for simulated data sets. In final study design, there were 18 conditions [3 (sample size) x 3 (group mean difference) x 2 (methods of DIF detection)]. WinGen3 was used to simulate ability estimates and to generate response data sets. MULTİLOG and DIFAS were used to conduct the Mantel and IRT-LR DIF analyses. Results indicated that with equal group distribution, Mantel Test and IRT-LR Test performed similarly under all testing conditions and had better Type I error rate control. Large sample size and presence of group mean difference tended to inflate the Type I error rates of both DIF detection tests. IRT-LR had higher Type I error rates than Mantel Test when large sample size and when group mean difference conditions.
Differential Item Functioning, Monte Carlo, Polytomous Items, Type I Error
To cite this article
Safiye Bilican Demir, Comparison of DIF Detection Performances of Mantel Test and Likelihood Ratio Test, American Journal of Applied Psychology. Vol. 5, No. 6, 2016, pp. 38-43. doi: 10.11648/j.ajap.20160506.11
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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