A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia

An absence of measurement bias against distinct groups is a prerequisite for the use of a given psychological instrument in scientific research or high-stakes assessment. Factor analysis is the framework explicitly adopted for the identification of such bias when the instrument consists of a multi-t...

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Main Authors: Lee, M. K., Lee, J. J., Wells, C. S., Sireci, S. G.
Format: Article
Language:English
Published: Université d'Ottawa 2016-01-01
Series:Tutorials in Quantitative Methods for Psychology
Subjects:
Online Access:http://www.tqmp.org/RegularArticles/vol12-1/p009/p009.pdf
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author Lee, M. K.
Lee, J. J.
Wells, C. S.
Sireci, S. G.
author_facet Lee, M. K.
Lee, J. J.
Wells, C. S.
Sireci, S. G.
author_sort Lee, M. K.
collection DOAJ
description An absence of measurement bias against distinct groups is a prerequisite for the use of a given psychological instrument in scientific research or high-stakes assessment. Factor analysis is the framework explicitly adopted for the identification of such bias when the instrument consists of a multi-test battery, whereas item response theory is employed when the focus narrows to a single test composed of discrete items. Item response theory can be treated as a mild nonlinearization of the standard factor model, and thus the essential unity of bias detection at the two levels merits greater recognition. Here we illustrate the benefits of a unified approach with a real-data example, which comes from a statewide test of mathematics achievement where examinees diagnosed with dyscalculia were accommodated with calculators. We found that items that can be solved by explicit arithmetical computation became easier for the accommodated examinees, but the quantitative magnitude of this differential item functioning (measurement bias) was small.
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spelling doaj.art-c5d631a41b7c47b0aeac924b83ae36742022-12-21T17:15:08ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262016-01-0112192910.20982/tqmp.12.1.p009A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculiaLee, M. K.0Lee, J. J.1Wells, C. S.2Sireci, S. G.3University of Massachusetts Amherst and Mayo ClinicUniversity of Minnesota Twin CitiesUniversity of Massachusetts AmherstUniversity of Massachusetts AmherstAn absence of measurement bias against distinct groups is a prerequisite for the use of a given psychological instrument in scientific research or high-stakes assessment. Factor analysis is the framework explicitly adopted for the identification of such bias when the instrument consists of a multi-test battery, whereas item response theory is employed when the focus narrows to a single test composed of discrete items. Item response theory can be treated as a mild nonlinearization of the standard factor model, and thus the essential unity of bias detection at the two levels merits greater recognition. Here we illustrate the benefits of a unified approach with a real-data example, which comes from a statewide test of mathematics achievement where examinees diagnosed with dyscalculia were accommodated with calculators. We found that items that can be solved by explicit arithmetical computation became easier for the accommodated examinees, but the quantitative magnitude of this differential item functioning (measurement bias) was small.http://www.tqmp.org/RegularArticles/vol12-1/p009/p009.pdfFactor analysisItem response theoryMeasurement invarianceDifferential item functioningDyscalculia
spellingShingle Lee, M. K.
Lee, J. J.
Wells, C. S.
Sireci, S. G.
A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
Tutorials in Quantitative Methods for Psychology
Factor analysis
Item response theory
Measurement invariance
Differential item functioning
Dyscalculia
title A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
title_full A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
title_fullStr A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
title_full_unstemmed A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
title_short A unified factor-analytic approach to the detection of item and test bias: Illustration with the effect of providing calculators to students with dyscalculia
title_sort unified factor analytic approach to the detection of item and test bias illustration with the effect of providing calculators to students with dyscalculia
topic Factor analysis
Item response theory
Measurement invariance
Differential item functioning
Dyscalculia
url http://www.tqmp.org/RegularArticles/vol12-1/p009/p009.pdf
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