IDEAS home Printed from https://ideas.repec.org/p/osf/osfxxx/hmy45.html

About Still Nonignorable Consequences of (Partially) Ignoring Missing Item Responses in Large-scale Assessment

Author

Listed:
  • Robitzsch, Alexander

Abstract

In recent literature, alternative models for handling missing item responses in large-scale assessments are proposed. In principle, based on simulations and arguments based test theory (Rose, 2013). In those approaches, it is argued that missing item responses should never be scored as incorrect, but rather treated as ignorable (e.g., Pohl et al., 2014). The present contribution shows that these arguments have limited validity and illustrates the consequences in a country comparison in the PIRLS 2011 study. A different treatment of missing item responses than recoding them as incorrect leads to significant changes in country rankings, which induces nonignorable consequences regarding the results' validity. Additionally, two alternative item response models based on different assumptions for missing item responses are proposed.

Suggested Citation

  • Robitzsch, Alexander, 2020. "About Still Nonignorable Consequences of (Partially) Ignoring Missing Item Responses in Large-scale Assessment," OSF Preprints hmy45, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:hmy45
    DOI: 10.31219/osf.io/hmy45
    as

    Download full text from publisher

    File URL: https://osf.io/download/5f8f3c19054378000b827031/
    Download Restriction: no
    File URL: https://libkey.io/10.31219/osf.io/hmy45?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Norman Rose & Matthias Davier & Benjamin Nagengast, 2017. "Modeling Omitted and Not-Reached Items in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 795-819, September.
    2. Frederic Lord, 1974. "Estimation of latent ability and item parameters when there are omitted responses," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 247-264, June.
    3. Robert Mislevy, 1991. "Randomization-based inference about latent variables from complex samples," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 177-196, June.
    4. Francesco Bartolucci & Giorgio E. Montanari & Silvia Pandolfi, 2018. "Latent Ignorability and Item Selection for Nursing Home Case-Mix Evaluation," Journal of Classification, Springer;The Classification Society, vol. 35(1), pages 172-193, April.
    5. Guillermo Rosas & Yael Shomer & Stephen R. Haptonstahl, 2015. "No News Is News: Nonignorable Nonresponse in Roll‐Call Data Analysis," American Journal of Political Science, John Wiley & Sons, vol. 59(2), pages 511-528, February.
    6. Jung, Hyekyung & Schafer, Joseph L. & Seo, Byungtae, 2011. "A latent class selection model for nonignorably missing data," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 802-812, January.
    7. Paul Holland, 1990. "On the sampling theory roundations of item response theory models," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 577-601, December.
    8. Ofer Harel & Joseph L. Schafer, 2009. "Partial and latent ignorability in missing-data problems," Biometrika, Biometrika Trust, vol. 96(1), pages 37-50.
    9. Santos, Vera Lúcia F. & Moura, Fernando A.S. & Andrade, Dalton F. & Gonçalves, Kelly C.M., 2016. "Multidimensional and longitudinal item response models for non-ignorable data," Computational Statistics & Data Analysis, Elsevier, vol. 103(C), pages 91-110.
    10. Jouni Kuha & Myrsini Katsikatsou & Irini Moustaki, 2018. "Latent variable modelling with non‐ignorable item non‐response: multigroup response propensity models for cross‐national analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(4), pages 1169-1192, October.
    11. Thomas Warm, 1989. "Weighted likelihood estimation of ability in item response theory," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 427-450, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:osf:osfxxx:hmy45_v1 is not listed on IDEAS
    2. Simon Grund & Oliver Lüdtke & Alexander Robitzsch, 2021. "On the Treatment of Missing Data in Background Questionnaires in Educational Large-Scale Assessments: An Evaluation of Different Procedures," Journal of Educational and Behavioral Statistics, , vol. 46(4), pages 430-465, August.
    3. Jouni Kuha & Myrsini Katsikatsou & Irini Moustaki, 2018. "Latent variable modelling with non‐ignorable item non‐response: multigroup response propensity models for cross‐national analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(4), pages 1169-1192, October.
    4. Matthias von Davier & Youngmi Cho & Tianshu Pan, 2019. "Effects of Discontinue Rules on Psychometric Properties of Test Scores," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 147-163, March.
    5. Gnambs, Timo, 2025. "Reciprocal effects between information and communication technology literacy and conventional literacies," Intelligence, Elsevier, vol. 111(C).
    6. Alexander Robitzsch, 2021. "A Comprehensive Simulation Study of Estimation Methods for the Rasch Model," Stats, MDPI, vol. 4(4), pages 1-23, October.
    7. Anders Skrondal & Sophia Rabe-Hesketh, 2022. "The Role of Conditional Likelihoods in Latent Variable Modeling," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 799-834, September.
    8. 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.
    9. Justina Fischer & Torberg Falch, 2008. "Does a generous welfare state crowd out student effort? Panel data evidence from international student tests," TWI Research Paper Series 25, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    10. 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).
    11. Fumiko Samejima, 1997. "Departure from normal assumptions: A promise for future psychometrics with substantive mathematical modeling," Psychometrika, Springer;The Psychometric Society, vol. 62(4), pages 471-493, December.
    12. Julia C. Morse & Bridget Coggins, 2024. "Your silence speaks volumes: Weak states and strategic absence in the UN General Assembly," The Review of International Organizations, Springer, vol. 19(3), pages 515-544, September.
    13. repec:zbw:rwidps:0002 is not listed on IDEAS
    14. Vernon T. Farewell & Li Su & Christopher Jackson, 2019. "Partially hidden multi-state modelling of a prolonged disease state defined by a composite outcome," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(4), pages 696-711, October.
    15. Dahmann, Sarah C., 2017. "How does education improve cognitive skills? Instructional time versus timing of instruction," Labour Economics, Elsevier, vol. 47(C), pages 35-47.
    16. Jinxin Guo & Xin Xu & Zhiliang Ying & Susu Zhang, 2022. "Modeling Not-Reached Items in Timed Tests: A Response Time Censoring Approach," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 835-867, September.
    17. Angelina Hammon, 2023. "Multiple imputation of ordinal missing not at random data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 107(4), pages 671-692, December.
    18. Torberg Falch & Justina AV Fischer, 2008. "Does a generous welfare state crowd out student achievement? Panel data evidence from international student tests," TWI Research Paper Series 31, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    19. Ting Lin, 2007. "Identifying Optimal Items in Quality of Life Assessment," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(5), pages 661-672, October.
    20. Matthias Davier & Xueli Xu & Claus Carstensen, 2011. "Measuring Growth in a Longitudinal Large-Scale Assessment with a General Latent Variable Model," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 318-336, April.
    21. Hendrik Jürges & Wolfram F. Richter & Kerstin Schneider, 2005. "Teacher Quality and Incentives: Theoretical and Empirical Effects of Standards on Teacher Quality," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 61(3), pages 298-326, November.
    22. Santos, Vera Lúcia F. & Moura, Fernando A.S. & Andrade, Dalton F. & Gonçalves, Kelly C.M., 2016. "Multidimensional and longitudinal item response models for non-ignorable data," Computational Statistics & Data Analysis, Elsevier, vol. 103(C), pages 91-110.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:osf:osfxxx:hmy45. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: OSF (email available below). General contact details of provider: https://osf.io/preprints/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.