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

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  • 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
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    References listed on IDEAS

    as
    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. 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.
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    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.

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