Erroneous detection of nonuniform DIF using the Breslow-Day test in a short test

Aguerri, María Ester; Galibert, María Silvia; Attorresi, Horacio Félix; Marañón, Pedro Prieto

doi:10.1007/s11135-007-9130-2

Cited by 8 publications

(6 citation statements)

References 22 publications

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“…This method, developed by Breslow and Day (1980), was proposed to evaluate the homogeneity of the relationship between focal and reference group membership and item responses in the total test score range. In the absence of homogeneity, there is uniform DIF (Aguerri, Galibert, Attorresi & Marañón, 2009). The method has a distribution of with a degree of freedom of 1.…”

Section: Breslow-day Methodsmentioning

confidence: 99%

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Determination of differantial item functioning (DIF) according to SIBTEST, Lord s X^2, Raju s area measurement and Breslow-Day methods

Yörü

Atar²

2019

JPR

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The aim of this study is to examine whether the items in the mathematics subtest of the Centralized High School Entrance Placement Test [HSEPT] administered in 2012 by the Ministry of National Education in Turkey show DIF according to gender and type of school. For this purpose, SIBTEST, Breslow-Day, Lord's and Raju's area measurement methods were used to determine the DIF of the 20 items in the mathematics subtest of HSEPT in 2012, and it was determined whether the items show DIF according to these methods or not. The research was conducted on the basis of the data obtained from HSEPT that the eighth grade students took in 2012. After the missing data were removed from the data set, DIF analyses were performed for the mathematics subtest of 1,063,570 (nfemale=523,939 and nmale=539,631; nstate school=1,025,979 and nprivate school =37,591) in total. Since it is aimed to examine the current situation, this study is based on a descriptive research design. According to the methods used, the number and DIF levels of the items with DIF differed depending on the variables of gender and type of school. In line with the findings, this research suggests the researchers to use at least two methods to determine the DIF.

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Section: Breslow-day Methodsmentioning

confidence: 99%

“…In addition, Breslow-day method has superior statistical power and Type I error rate compared to other proposed methods (Penfield, 2003). Breslow-Day statistics are given in equality 4 (Aguerri, Galibert, Attorresi & Marañón, 2009):…”

Section: Breslow-day Methodsmentioning

confidence: 99%

Determination of differantial item functioning (DIF) according to SIBTEST, Lord s X^2, Raju s area measurement and Breslow-Day methods

Yörü

Atar²

2019

JPR

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“…We have developed an R package for nine of the aforementioned methods so they can be used simultaneously (for further details, see Aguerri, Galibert, Attorresi, & Marañón, 2009). The BD statistic has an asymptotic chisquare distribution with as many degrees of freedom as the number of total test scores that are taken into account in the sum in Equation 10.…”

Section: An R Package For Difmentioning

confidence: 99%

A general framework and an R package for the detection of dichotomous differential item functioning

Magis

Béland

Tuerlinckx

et al. 2010

Behavior Research Methods

245

207

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“…The Type I error rate and the power of both MH and LR, when applied to the analysis of DIF, were studied with different designs in numerous articles. However, as for BD applied to the analysis of DIF, the only simulation studies that exist are those on Type I error rate by Aguerri, Galibert, Attorresi, and Prieto-Maran ˜o ´n (2009) and Aguerri, Galibert, Lozzia, and Attorresi (2004). In both studies, the BD erroneous detection rate on a short test was close to the nominal value (5%) in almost all the cases under analysis.…”

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confidence: 99%

Detection of Differential Item Functioning

et al. 2012

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This study analyzes Differential Item Functioning (DIF) with three combined decision rules and compares the results with the variation of the Mantel-Haenszel procedure (vaMH) proposed by Mazor, Clauser, and Hambleton (1994). One decision rule combines the Mantel-Haenszel procedure (MH) with the Breslow-Day test of trend in odds ratio heterogeneity (BDT), having performed the Bonferroni adjustment, as Randall Penfield proposed. The second uses both MH and BDT without the Bonferroni adjustment. The third combines MH with the Breslow-Day test for homogeneity of the odds ratio without the Bonferroni adjustment. The three decision rules yielded satisfactory results, showed similar power, and none of them detected DIF erroneously. The second rule proved to be the most powerful in the presence of nonuniform DIF. Only in the presence of uniform DIF with the smallest difference of difficulty parameters, was there evidence of vaMH’s superiority.

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Erroneous detection of nonuniform DIF using the Breslow-Day test in a short test

Abstract: Nonuniform differential item functioning, Breslow-Day test, Three parameter logistic model, Logistic regression, Mantel–Haenszel procedure,

Cited by 8 publications

References 22 publications

Determination of differantial item functioning (DIF) according to SIBTEST, Lord s X^2, Raju s area measurement and Breslow-Day methods

Determination of differantial item functioning (DIF) according to SIBTEST, Lord s X^2, Raju s area measurement and Breslow-Day methods

A general framework and an R package for the detection of dichotomous differential item functioning

Detection of Differential Item Functioning

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