IRT linking methods for the bifactor model with mixed format tests.

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Title: IRT linking methods for the bifactor model with mixed format tests.
Authors: Kim, Sohee (AUTHOR), Cole, Ki Lynn (AUTHOR)
Source: International Journal of Testing. Apr-Jun2025, Vol. 25 Issue 2, p158-177. 20p.
Subjects: Item response theory, Standard deviations, Calibration
Abstract: This study conducted a comprehensive comparison of Item Response Theory (IRT) linking methods applied to a bifactor model, examining their performance on both multiple choice (MC) and mixed format tests within the common item nonequivalent group design framework. Four distinct multidimensional IRT linking approaches were explored, consisting of two methods that incorporated linking coefficients, namely extensions of Haebara and Stocking-Lord, and two methods that did not involve linking coefficients, specifically concurrent calibration and fixed item parameter calibration (FIPC). The study involved an evaluation of the linked item parameters, with a focus on their bias, standard error of estimate (SEE), and root mean squared error (RMSE). The findings revealed that both linking methods, those with and without linking coefficients, demonstrated proficient recovery of item parameters. Notably, the methods lacking linking coefficients exhibited superior performance compared to their counterparts with coefficients. Remarkably, the FIPC linking method emerged as particularly adept at recovering item parameters, especially with regard to difficulty parameters, within the context of the bifactor model. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Testing 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.)
Database: Psychology and Behavioral Sciences Collection
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  Data: IRT linking methods for the bifactor model with mixed format tests.
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  Data: <searchLink fieldCode="AR" term="%22Kim%2C+Sohee%22">Kim, Sohee</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cole%2C+Ki+Lynn%22">Cole, Ki Lynn</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Testing%22">International Journal of Testing</searchLink>. Apr-Jun2025, Vol. 25 Issue 2, p158-177. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Item+response+theory%22">Item response theory</searchLink><br /><searchLink fieldCode="DE" term="%22Standard+deviations%22">Standard deviations</searchLink><br /><searchLink fieldCode="DE" term="%22Calibration%22">Calibration</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study conducted a comprehensive comparison of Item Response Theory (IRT) linking methods applied to a bifactor model, examining their performance on both multiple choice (MC) and mixed format tests within the common item nonequivalent group design framework. Four distinct multidimensional IRT linking approaches were explored, consisting of two methods that incorporated linking coefficients, namely extensions of Haebara and Stocking-Lord, and two methods that did not involve linking coefficients, specifically concurrent calibration and fixed item parameter calibration (FIPC). The study involved an evaluation of the linked item parameters, with a focus on their bias, standard error of estimate (SEE), and root mean squared error (RMSE). The findings revealed that both linking methods, those with and without linking coefficients, demonstrated proficient recovery of item parameters. Notably, the methods lacking linking coefficients exhibited superior performance compared to their counterparts with coefficients. Remarkably, the FIPC linking method emerged as particularly adept at recovering item parameters, especially with regard to difficulty parameters, within the context of the bifactor model. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Testing 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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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/15305058.2025.2471752
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      – Code: eng
        Text: English
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        PageCount: 20
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        Type: general
      – SubjectFull: Standard deviations
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      – SubjectFull: Calibration
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      – TitleFull: IRT linking methods for the bifactor model with mixed format tests.
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            NameFull: Kim, Sohee
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              Text: Apr-Jun2025
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              Y: 2025
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