Comparison of Equating Methods for Multidimensional Tests with Differential Item Functioning.

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Title: Comparison of Equating Methods for Multidimensional Tests with Differential Item Functioning.
Authors: Ugurlu, Secil (AUTHOR), Atar, Burcu (AUTHOR), Lee, Won-Chan (AUTHOR)
Source: Applied Measurement in Education. Apr-Jun2025, Vol. 38 Issue 2, p165-184. 20p.
Subjects: Item response theory, Psychometrics, Multivariable testing, Statistical correlation
Abstract: The purpose of this study is to explore the relationship between differential item functioning (DIF) and equating within the framework of population invariance of multidimensional item response theory (MIRT) equating. Employing simulated data from the simple structure MIRT model, the analysis encompassed four equating methods: simple structure MIRT observed score, unidimensional IRT observed score, unidimensional IRT true score, and traditional equipercentile equating. Findings indicate that population dependency of equating increases and reaches a critical threshold under conditions of differential form DIF. Under a relatively low (0.5) correlation scenario, the multidimensional equating method showed the closest alignment with the criterion in reflecting the interplay between DIF and equating. For higher correlation conditions (0.8 and 0.95), all methods yielded comparable outcomes. Additionally, differences in group mean ability between forms did not impact the population invariance of the applied methods. [ABSTRACT FROM AUTHOR]
Copyright of Applied Measurement in Education is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Comparison of Equating Methods for Multidimensional Tests with Differential Item Functioning.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Ugurlu%2C+Secil%22">Ugurlu, Secil</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Atar%2C+Burcu%22">Atar, Burcu</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lee%2C+Won-Chan%22">Lee, Won-Chan</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Applied+Measurement+in+Education%22">Applied Measurement in Education</searchLink>. Apr-Jun2025, Vol. 38 Issue 2, p165-184. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Item+response+theory%22">Item response theory</searchLink><br /><searchLink fieldCode="DE" term="%22Psychometrics%22">Psychometrics</searchLink><br /><searchLink fieldCode="DE" term="%22Multivariable+testing%22">Multivariable testing</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+correlation%22">Statistical correlation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The purpose of this study is to explore the relationship between differential item functioning (DIF) and equating within the framework of population invariance of multidimensional item response theory (MIRT) equating. Employing simulated data from the simple structure MIRT model, the analysis encompassed four equating methods: simple structure MIRT observed score, unidimensional IRT observed score, unidimensional IRT true score, and traditional equipercentile equating. Findings indicate that population dependency of equating increases and reaches a critical threshold under conditions of differential form DIF. Under a relatively low (0.5) correlation scenario, the multidimensional equating method showed the closest alignment with the criterion in reflecting the interplay between DIF and equating. For higher correlation conditions (0.8 and 0.95), all methods yielded comparable outcomes. Additionally, differences in group mean ability between forms did not impact the population invariance of the applied methods. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Applied Measurement in Education is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/08957347.2025.2534700
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      – Code: eng
        Text: English
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        StartPage: 165
    Subjects:
      – SubjectFull: Item response theory
        Type: general
      – SubjectFull: Psychometrics
        Type: general
      – SubjectFull: Multivariable testing
        Type: general
      – SubjectFull: Statistical correlation
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      – TitleFull: Comparison of Equating Methods for Multidimensional Tests with Differential Item Functioning.
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            NameFull: Ugurlu, Secil
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              Text: Apr-Jun2025
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              Y: 2025
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