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PerFit: An R Package for Person-Fit Analysis in IRT

Author

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  • Tendeiro, Jorge N.
  • Meijer, Rob R.
  • Niessen, A. Susan M.

Abstract

Checking the validity of test scores is important in both educational and psychological measurement. Person-fit analysis provides several statistics that help practitioners assessing whether individual item score vectors conform to a prespecified item response theory model or, alternatively, to a group of test takers. Software enabling easy access to most person-fit statistics was lacking up to now. The PerFit R package was written in order to fill in this void. A theoretical overview of relatively simple person-fit statistics is provided. A practical guide showing how the main functions of PerFit can be used is also given. Both numerical and graphical tools are described and illustrated using examples. The goal is to show how person-fit statistics can be easily applied to testing of questionnaire data.

Suggested Citation

  • 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).
    • Handle: RePEc:jss:jstsof:v:074:i05
    DOI: http://hdl.handle.net/10.18637/jss.v074.i05
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    References listed on IDEAS

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    1. 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.
    2. van der Ark, L. Andries, 2007. "Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i11).
    3. Klaas Sijtsma & Rob Meijer, 2001. "The person response function as a tool in person-fit research," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 191-207, June.
    4. L. Ark, 2005. "Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 70(2), pages 283-304, June.
    5. Edith M.L.A. van Krimpen-Stoop & Rob R. Meijer, 2001. "CUSUM-Based Person-Fit Statistics for Adaptive Testing," Journal of Educational and Behavioral Statistics, , vol. 26(2), pages 199-217, June.
    6. Mair, Patrick & Hatzinger, Reinhold, 2007. "Extended Rasch Modeling: The eRm Package for the Application of IRT Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i09).
    7. Kikumi K. Tatsuoka & Maurice M. Tatsuoka, 1982. "Detection of Aberrant Response Patterns and their Effect on Dimensionality," Journal of Educational and Behavioral Statistics, , vol. 7(3), pages 215-231, September.
    8. 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.
    9. Honaker, James & King, Gary & Blackwell, Matthew, 2011. "Amelia II: A Program for Missing Data," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 45(i07).
    10. Chalmers, R. Philip, 2012. "mirt: A Multidimensional Item Response Theory Package for the R Environment," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i06).
    11. Su, Yu-Sung & Gelman, Andrew & Hill, Jennifer & Yajima, Masanao, 2011. "Multiple Imputation with Diagnostics (mi) in R: Opening Windows into the Black Box," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 45(i02).
    12. van der Ark, L. Andries, 2012. "New Developments in Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i05).
    13. 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.
    14. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1997. "Stochastic ordering using the latent trait and the sum score in polytomous IRT models," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 331-347, September.
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    Cited by:

    1. Eduardo Doval & Pedro Delicado, 2020. "Identifying and Classifying Aberrant Response Patterns Through Functional Data Analysis," Journal of Educational and Behavioral Statistics, , vol. 45(6), pages 719-749, December.
    2. 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.

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