IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v37y2012i6p758-766.html
   My bibliography  Save this article

The Use of the lz and lz* Person-Fit Statistics and Problems Derived From Model Misspecification

Author

Listed:
  • Rob R. Meijer
  • Jorge N. Tendeiro

Abstract

We extend a recent didactic by Magis, Raîche, and Béland on the use of the l z and l z * person-fit statistics. We discuss a number of possibly confusing details and show that it is important to first investigate item response theory model fit before assessing person fit. Furthermore, it is argued that appropriate distributions are only a first step for practical use of person-fit statistics.

Suggested Citation

  • Rob R. Meijer & Jorge N. Tendeiro, 2012. "The Use of the lz and lz* Person-Fit Statistics and Problems Derived From Model Misspecification," Journal of Educational and Behavioral Statistics, , vol. 37(6), pages 758-766, December.
    • Handle: RePEc:sae:jedbes:v:37:y:2012:i:6:p:758-766
    DOI: 10.3102/1076998612466144
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/1076998612466144
    Download Restriction: no
    File URL: https://libkey.io/10.3102/1076998612466144?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. Ivo Molenaar & Herbert Hoijtink, 1990. "The many null distributions of person fit indices," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 75-106, March.
    2. Tom Snijders, 2001. "Asymptotic null distribution of person fit statistics with estimated person parameter," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 331-342, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tendeiro, Jorge N. & Meijer, Rob R. & Niessen, A. Susan M., 2016. "PerFit: An R Package for Person-Fit Analysis in IRT," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 74(i05).
    2. Sandip Sinharay, 2016. "Asymptotically Correct Standardization of Person-Fit Statistics Beyond Dichotomous Items," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 992-1013, December.

    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. C. Glas & Anna Dagohoy, 2007. "A Person Fit Test For Irt Models For Polytomous Items," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 159-180, June.
    2. Kevin Carl P. Santos & Jimmy Torre & Matthias Davier, 2020. "Adjusting Person Fit Index for Skewness in Cognitive Diagnosis Modeling," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 399-420, July.
    3. David Magis & Gilles Raîche & Sébastien Béland, 2012. "A Didactic Presentation of Snijders’s lz* Index of Person Fit With Emphasis on Response Model Selection and Ability Estimation," Journal of Educational and Behavioral Statistics, , vol. 37(1), pages 57-81, February.
    4. Sandip Sinharay, 2016. "Asymptotically Correct Standardization of Person-Fit Statistics Beyond Dichotomous Items," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 992-1013, December.
    5. Sandip Sinharay, 2015. "Assessment of Person Fit for Mixed-Format Tests," Journal of Educational and Behavioral Statistics, , vol. 40(4), pages 343-365, August.
    6. Sukaesi Marianti & Jean-Paul Fox & Marianna Avetisyan & Bernard P. Veldkamp & Jesper Tijmstra, 2014. "Testing for Aberrant Behavior in Response Time Modeling," Journal of Educational and Behavioral Statistics, , vol. 39(6), pages 426-451, December.
    7. Maxwell Hong & Lizhen Lin & Ying Cheng, 2021. "Asymptotically Corrected Person Fit Statistics for Multidimensional Constructs with Simple Structure and Mixed Item Types," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 464-488, June.
    8. Herbert Hoijtink & Meinte Vollema, 2003. "Contemporary Extensions of the Rasch Model," Quality & Quantity: International Journal of Methodology, Springer, vol. 37(3), pages 263-276, August.
    9. Xiang Liu & James Yang & Hui Soo Chae & Gary Natriello, 2020. "Power Divergence Family of Statistics for Person Parameters in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 85(2), pages 502-525, June.
    10. Martin Biehler & Heinz Holling & Philipp Doebler, 2015. "Saddlepoint Approximations of the Distribution of the Person Parameter in the Two Parameter Logistic Model," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 665-688, September.
    11. Can Shao & Jun Li & Ying Cheng, 2016. "Detection of Test Speededness Using Change-Point Analysis," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 1118-1141, December.
    12. Scott Monroe, 2019. "Estimation of Expected Fisher Information for IRT Models," Journal of Educational and Behavioral Statistics, , vol. 44(4), pages 431-447, August.
    13. Sandip Sinharay, 2016. "Person Fit Analysis in Computerized Adaptive Testing Using Tests for a Change Point," Journal of Educational and Behavioral Statistics, , vol. 41(5), pages 521-549, October.
    14. Herbert Hoijtink, 1990. "A latent trait model for dichotomous choice data," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 641-656, December.
    15. Matthias Davier & Ivo Molenaar, 2003. "A person-fit index for polytomous rasch models, latent class models, and their mixture generalizations," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 213-228, June.
    16. Karl Klauer, 1991. "Exact and best confidence intervals for the ability parameter of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 535-547, September.
    17. Sandip Sinharay, 2017. "Detection of Item Preknowledge Using Likelihood Ratio Test and Score Test," Journal of Educational and Behavioral Statistics, , vol. 42(1), pages 46-68, February.
    18. Xiang Liu & Zhuangzhuang Han & Matthew S. Johnson, 2018. "The UMP Exact Test and the Confidence Interval for Person Parameters in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 182-202, March.
    19. Yue Liu & Hongyun Liu, 2021. "Detecting Noneffortful Responses Based on a Residual Method Using an Iterative Purification Process," Journal of Educational and Behavioral Statistics, , vol. 46(6), pages 717-752, December.
    20. Karl Klauer, 1991. "An exact and optimal standardized person test for assessing consistency with the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 213-228, June.

    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:sae:jedbes:v:37:y:2012:i:6:p:758-766. 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: SAGE Publications (email available below). General contact details of provider: .

    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.