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What can we learn from Plausible Values?

Author

Listed:
  • Maarten Marsman

    (University of Amsterdam
    Cito)

  • Gunter Maris

    (University of Amsterdam
    Cito)

  • Timo Bechger

    (Cito)

  • Cees Glas

    (University of Twente)

Abstract

In this paper, we show that the marginal distribution of plausible values is a consistent estimator of the true latent variable distribution, and, furthermore, that convergence is monotone in an embedding in which the number of items tends to infinity. We use this result to clarify some of the misconceptions that exist about plausible values, and also show how they can be used in the analyses of educational surveys.

Suggested Citation

  • Maarten Marsman & Gunter Maris & Timo Bechger & Cees Glas, 2016. "What can we learn from Plausible Values?," Psychometrika, Springer;The Psychometric Society, vol. 81(2), pages 274-289, June.
    • Handle: RePEc:spr:psycho:v:81:y:2016:i:2:d:10.1007_s11336-016-9497-x
    DOI: 10.1007/s11336-016-9497-x
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    References listed on IDEAS

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    1. Robert Mislevy, 1991. "Randomization-based inference about latent variables from complex samples," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 177-196, June.
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    3. Hua-Hua Chang, 1996. "The asymptotic posterior normality of the latent trait for polytomous IRT models," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 445-463, September.
    4. Hua-Hua Chang & William Stout, 1993. "The asymptotic posterior normality of the latent trait in an IRT model," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 37-52, March.
    5. Lynne Schofield & Brian Junker & Lowell Taylor & Dan Black, 2015. "Predictive Inference Using Latent Variables with Covariates," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 727-747, September.
    6. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    7. Thomas Warm, 1989. "Weighted likelihood estimation of ability in item response theory," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 427-450, September.
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    Cited by:

    1. Oberrauch, Luis & Kaiser, Tim, 2020. "Economic competence in early secondary school: Evidence from a large-scale assessment in Germany," International Review of Economics Education, Elsevier, vol. 35(C).
    2. Robert J. Zwitser & S. Sjoerd F. Glaser & Gunter Maris, 2017. "Monitoring Countries in a Changing World: A New Look at DIF in International Surveys," Psychometrika, Springer;The Psychometric Society, vol. 82(1), pages 210-232, March.
    3. Shelley H. Liu & Yitong Chen & Jordan R. Kuiper & Emily Ho & Jessie P. Buckley & Leah Feuerstahler, 2024. "Applying Latent Variable Models to Estimate Cumulative Exposure Burden to Chemical Mixtures and Identify Latent Exposure Subgroups: A Critical Review and Future Directions," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 16(2), pages 482-502, July.
    4. Juan Aparicio & Jose M. Cordero & Lidia Ortiz, 2021. "Efficiency Analysis with Educational Data: How to Deal with Plausible Values from International Large-Scale Assessments," Mathematics, MDPI, vol. 9(13), pages 1-16, July.
    5. Kaiser, Tim & Oberrauch, Luis, 2021. "Economic education at the expense of indoctrination? Evidence from Germany," EconStor Preprints 245801, ZBW - Leibniz Information Centre for Economics.
    6. Mark D. Flood & Dror Y. Kenett & Robin L. Lumsdaine & Jonathan J. Simon, 2017. "The Complexity of Bank Holding Companies: A New Measurement Approach," Working Papers 17-03, Office of Financial Research, US Department of the Treasury.

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