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The many null distributions of person fit indices

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  • Ivo Molenaar
  • Herbert Hoijtink

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  • 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.
    • Handle: RePEc:spr:psycho:v:55:y:1990:i:1:p:75-106
    DOI: 10.1007/BF02294745
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    References listed on IDEAS

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    1. Verbeek, Albert & Kroonenberg, Pieter M., 1985. "A survey of algorithms for exact distributions of test statistics in r x c contingency tables with fixed margins," Computational Statistics & Data Analysis, Elsevier, vol. 3(1), pages 159-185, May.
    2. Erling Andersen & Mette Madsen, 1977. "Estimating the parameters of the latent population distribution," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 357-374, September.
    3. C. Glas & N. Verhelst, 1989. "Extensions of the partial credit model," Psychometrika, Springer;The Psychometric Society, vol. 54(4), pages 635-659, September.
    4. Kikumi Tatsuoka, 1984. "Caution indices based on item response theory," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 95-110, March.
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    Citations

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    Cited by:

    1. 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.
    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.
    3. G. Van Den Wittenboer & J. Hox & E. De Leeuw, 2000. "Latent Class Analysis of Respondent Scalability," Quality & Quantity: International Journal of Methodology, Springer, vol. 34(2), pages 177-191, May.
    4. 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.
    5. 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.
    6. Herbert Hoijtink, 1990. "A latent trait model for dichotomous choice data," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 641-656, December.
    7. 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.
    8. 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.
    9. Edward Bedrick, 1997. "Approximating the conditional distribution of person FIT indexes for checking the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 62(2), pages 191-199, June.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Sandip Sinharay, 2015. "Assessment of Person Fit for Mixed-Format Tests," Journal of Educational and Behavioral Statistics, , vol. 40(4), pages 343-365, August.
    16. 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.
    17. 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.
    18. 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.
    19. 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.

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