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Score‐based tests for parameter instability in ordinal factor models.

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Title: Score‐based tests for parameter instability in ordinal factor models.
Authors: Classe, Franz (AUTHOR), Debelak, Rudolf (AUTHOR), Kern, Christoph (AUTHOR)
Source: British Journal of Mathematical & Statistical Psychology. Nov2025, Vol. 78 Issue 3, p996-1024. 29p.
Subjects: Item response theory, Parameter estimation, Factor analysis, Statistical software, Error probability, Statistical hypothesis testing, Test scoring
Abstract: We present a novel approach for computing model scores for ordinal factor models, that is, graded response models (GRMs) fitted with a limited information (LI) estimator. The method makes it possible to compute score‐based tests for parameter instability for ordinal factor models. This way, rapid execution of numerous parameter instability tests for multidimensional item response theory (MIRT) models is facilitated. We present a comparative analysis of the performance of the proposed score‐based tests for ordinal factor models in comparison to tests for GRMs fitted with a full information (FI) estimator. The new method has a good Type I error rate, high power and is computationally faster than FI estimation. We further illustrate that the proposed method works well with complex models in real data applications. The method is implemented in the lavaan package in R. [ABSTRACT FROM AUTHOR]
Copyright of British Journal of Mathematical & Statistical Psychology is the property of Wiley-Blackwell 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: Score‐based tests for parameter instability in ordinal factor models.
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  Data: <searchLink fieldCode="AR" term="%22Classe%2C+Franz%22">Classe, Franz</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Debelak%2C+Rudolf%22">Debelak, Rudolf</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kern%2C+Christoph%22">Kern, Christoph</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22British+Journal+of+Mathematical+%26+Statistical+Psychology%22">British Journal of Mathematical & Statistical Psychology</searchLink>. Nov2025, Vol. 78 Issue 3, p996-1024. 29p.
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  Data: <searchLink fieldCode="DE" term="%22Item+response+theory%22">Item response theory</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Factor+analysis%22">Factor analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+software%22">Statistical software</searchLink><br /><searchLink fieldCode="DE" term="%22Error+probability%22">Error probability</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+hypothesis+testing%22">Statistical hypothesis testing</searchLink><br /><searchLink fieldCode="DE" term="%22Test+scoring%22">Test scoring</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We present a novel approach for computing model scores for ordinal factor models, that is, graded response models (GRMs) fitted with a limited information (LI) estimator. The method makes it possible to compute score‐based tests for parameter instability for ordinal factor models. This way, rapid execution of numerous parameter instability tests for multidimensional item response theory (MIRT) models is facilitated. We present a comparative analysis of the performance of the proposed score‐based tests for ordinal factor models in comparison to tests for GRMs fitted with a full information (FI) estimator. The new method has a good Type I error rate, high power and is computationally faster than FI estimation. We further illustrate that the proposed method works well with complex models in real data applications. The method is implemented in the lavaan package in R. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of British Journal of Mathematical & Statistical Psychology is the property of Wiley-Blackwell 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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    Identifiers:
      – Type: doi
        Value: 10.1111/bmsp.12392
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      – Code: eng
        Text: English
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        PageCount: 29
        StartPage: 996
    Subjects:
      – SubjectFull: Item response theory
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Factor analysis
        Type: general
      – SubjectFull: Statistical software
        Type: general
      – SubjectFull: Error probability
        Type: general
      – SubjectFull: Statistical hypothesis testing
        Type: general
      – SubjectFull: Test scoring
        Type: general
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      – TitleFull: Score‐based tests for parameter instability in ordinal factor models.
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            NameFull: Classe, Franz
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            NameFull: Debelak, Rudolf
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            NameFull: Kern, Christoph
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            – D: 01
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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              Value: 78
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