Incorporating Measurement Errors in Fixed Person Parameter Calibration

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Bibliographic Details
Title: Incorporating Measurement Errors in Fixed Person Parameter Calibration
Language: English
Authors: Ikkyu Choi, Yi Cao, Hongwen Guo, Zhuangzhuang Han, Sooyeon Kim
Source: Journal of Educational Measurement. 2026 63(1).
Availability: Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www.wiley.com/en-us
Peer Reviewed: Y
Page Count: 28
Publication Date: 2026
Document Type: Journal Articles
Reports - Research
Descriptors: Error of Measurement, Ability, Computation, Bayesian Statistics, Sample Size, Test Items
DOI: 10.1111/jedm.70035
ISSN: 0022-0655
1745-3984
Abstract: In this study, we propose a new fixed person parameter calibration (FPC) strategy that incorporates measurement error in examinee ability estimates. Specifically, the proposed FPC method is an application of the mixed-effect structural equation model of Junker et al. (2012) to the small-sample item calibration context and relies on a Bayesian iterative sampling procedure for parameter estimation. We evaluated the proposed FPC method using simulated data sets that varied in terms of sample size, item composition, and examinee ability distribution. The parameter recovery performance of the proposed method was compared to those from alternative small-sample calibration methods two other FPC methods and the state-of-the-art fixed item parameter calibration (FIC) method. The results from the simulation study showed that the proposed method consistently outperformed the compared FPC and FIC methods. The encouraging performance of the proposed method demonstrates the impact of properly accounting for measurement error and provides a justification for its use as a competent small-sample item calibration method.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1501285
Database: ERIC
FullText Text:
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  Data: Incorporating Measurement Errors in Fixed Person Parameter Calibration
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  Data: <searchLink fieldCode="AR" term="%22Ikkyu+Choi%22">Ikkyu Choi</searchLink><br /><searchLink fieldCode="AR" term="%22Yi+Cao%22">Yi Cao</searchLink><br /><searchLink fieldCode="AR" term="%22Hongwen+Guo%22">Hongwen Guo</searchLink><br /><searchLink fieldCode="AR" term="%22Zhuangzhuang+Han%22">Zhuangzhuang Han</searchLink><br /><searchLink fieldCode="AR" term="%22Sooyeon+Kim%22">Sooyeon Kim</searchLink>
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  Data: <searchLink fieldCode="SO" term="%22Journal+of+Educational+Measurement%22"><i>Journal of Educational Measurement</i></searchLink>. 2026 63(1).
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  Data: Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www.wiley.com/en-us
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  Data: 28
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  Data: Journal Articles<br />Reports - Research
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  Data: <searchLink fieldCode="DE" term="%22Error+of+Measurement%22">Error of Measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Ability%22">Ability</searchLink><br /><searchLink fieldCode="DE" term="%22Computation%22">Computation</searchLink><br /><searchLink fieldCode="DE" term="%22Bayesian+Statistics%22">Bayesian Statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Sample+Size%22">Sample Size</searchLink><br /><searchLink fieldCode="DE" term="%22Test+Items%22">Test Items</searchLink>
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  Data: 10.1111/jedm.70035
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  Data: 0022-0655<br />1745-3984
– Name: Abstract
  Label: Abstract
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  Data: In this study, we propose a new fixed person parameter calibration (FPC) strategy that incorporates measurement error in examinee ability estimates. Specifically, the proposed FPC method is an application of the mixed-effect structural equation model of Junker et al. (2012) to the small-sample item calibration context and relies on a Bayesian iterative sampling procedure for parameter estimation. We evaluated the proposed FPC method using simulated data sets that varied in terms of sample size, item composition, and examinee ability distribution. The parameter recovery performance of the proposed method was compared to those from alternative small-sample calibration methods two other FPC methods and the state-of-the-art fixed item parameter calibration (FIC) method. The results from the simulation study showed that the proposed method consistently outperformed the compared FPC and FIC methods. The encouraging performance of the proposed method demonstrates the impact of properly accounting for measurement error and provides a justification for its use as a competent small-sample item calibration method.
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  Data: 2026
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      – SubjectFull: Ability
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      – SubjectFull: Computation
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      – SubjectFull: Bayesian Statistics
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      – SubjectFull: Sample Size
        Type: general
      – SubjectFull: Test Items
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      – TitleFull: Incorporating Measurement Errors in Fixed Person Parameter Calibration
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            NameFull: Ikkyu Choi
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            NameFull: Yi Cao
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            NameFull: Hongwen Guo
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            NameFull: Zhuangzhuang Han
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            NameFull: Sooyeon Kim
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