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A Comparison of Item Parameter Standard Error Estimation Procedures for Unidimensional and Multidimensional Item Response Theory Modeling

Bibliographic Data

ID20282000
AuthorsInsu Paek (0000-0002-2552-9475, Florida State University, Tallahassee, FL, USA), Li Cai (0000-0002-6098-1168, University of California, Los Angeles, CA, USA)
Year2014
Volume74
Issue1
Pages58-76
Publication date2014-02-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEducational and Psychological Measurement (JOURNAL)
Journal identifiersISSN: 0013-1644 • E-ISSN: 1552-3888
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/0013164413500277
OpenAlexW2092003689
LanguageEN
Citations received7
References cited18

The present study was motivated by the recognition that standard errors ( SEs) of item response theory (IRT) model parameters are often of immediate interest to practitioners and that there is currently a lack of comparative research on different SE (or error variance–covariance matrix) estimation procedures. The present study investigated item parameter SEs based on three error variance–covariance matrix estimation procedures for unidimensional and multidimensional IRT models: Fisher information, empirical cross-product, and supplemented expectation maximization. This study centers on the direct comparisons of SEs from different procedures and complements a recent study by Tian, Cai, Thissen, and Xin by providing insights and suggestions on the nature of the differences and similarities as well as on practical matters such as the computational cost. The simulation results show that all three procedures produced similar results with respect to bias in the SE estimates for most conditions. When the number of items is large and sample size is small, empirical cross-product, which was the most computationally efficient procedure, appeared to be affected most, producing slight upward bias

Analysis of covariance · Covariance · Covariance matrix · Econometrics · Fisher information · Item response theory · Psychometrics · Sample size determination · Standard error · Statistics · Variance (accounting) · Advanced Statistical Modeling Techniques · Computer Science · Mathematics · Multi-Criteria Decision Making · Psychometric Methodologies and Testing

  • On the reliability of point estimation of model parameters

    Yanlou Liu, Qishan Chen et al.•Acta Psychologica Sinica•2023

  • On Lagrange Multiplier Tests in Multidimensional Item Response Theory

    Open Access•Carl F Falk, Scott Lee Monroe et al.•Educational and Psychological…•2018

  • It Might Not Make a Big DIF

    Open Access•R Philip Chalmers, Alyssa Counsell et al.•Educational and Psychological…•2016

  • Investigating Confidence Intervals of Item Parameters When Some Item Parameters Take Priors in the 2PL and 3PL Models

    Open Access•Insu Paek, Zhongtian Lin et al.•Educational and Psychological…•2023

  • A Note on the Conversion of Item Parameters Standard Errors

    Chun Wang, Xue Zhang•Multivariate Behavioral Research•2019

  • Robustness of Parameter Estimation to Assumptions of Normality in the Multidimensional Graded Response Model

    Chun Wang, Shiyang Su et al.•Multivariate Behavioral Research•2018

  • Profile-likelihood Confidence Intervals in Item Response Theory Models

    R Philip Chalmers, Jolynn Pek et al.•Multivariate Behavioral Research•2017

  • Statistical Theories of Mental Test Scores

    Frederic M Lord, Melvin R Novick•Statistical Theories of Mental…•2008

  • Marginal Maximum Likelihood Estimation of Item Parameters

    Open Access•R Darrell Bock, Murray Aitkin•Psychometrika•1981

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    Open Access•Robert D Gibbons, Donald R Hedeker•Psychometrika•1992

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    Open Access•A P Dempster, N M Laird et al.•Journal of the Royal Statistical…•1977

  • Numerical Differentiation Methods for Computing Error Covariance Matrices in Item Response Theory Modeling

    Open Access•Wei Tian, Li Cai et al.•Educational and Psychological…•2013

  • Characterizing Sources of Uncertainty in Item Response Theory Scale Scores

    Open Access•Ji Seung Yang, Mark Hansen et al.•Educational and Psychological…•2012

  • The Langer-Improved Wald Test for DIF Testing With Multiple Groups

    Open Access•Carol M Woods, Li Cai et al.•Educational and Psychological…•2013

  • Covariance Structure Model Fit Testing Under Missing Data

    Li Cai, Taehun Lee•Multivariate Behavioral Research•2009

Unique citing works7
Citations per year0,7
Citation span2016 - 2023 (8)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 6

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