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DFIT: An R Package for Raju's Differential Functioning of Items and Tests Framework

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  • Cervantes, Víctor H.

Abstract

This paper presents DFIT, an R package that implements the differential functioning of items and tests framework as well as the Monte Carlo item parameter replication approach for producing cut-off points for differential item functioning indices. Furthermore, it illustrates how to use the package to calculate power for the NCDIF index, both post hoc, as has regularly been the case in differential item functioning empirical and simulation studies, as well as a priori given certain item parameters. The version reviewed here implements all DFIT indices and Raju's area measures for tests comprised of items modeled with the same parametric item response unidimensional model (1-, 2-, and 3-parameters, generalized partial credit model or graded response model), the Mantel-Haenszel statistic with an underlying dichotomous item response model, and the item parameter replication method for any of the estimated indices with dichotomous item response models.

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  • Cervantes, Víctor H., 2017. "DFIT: An R Package for Raju's Differential Functioning of Items and Tests Framework," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i05).
    • Handle: RePEc:jss:jstsof:v:076:i05
    DOI: http://hdl.handle.net/10.18637/jss.v076.i05
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    References listed on IDEAS

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    1. Bates, Douglas & Mächler, Martin & Bolker, Ben & Walker, Steve, 2015. "Fitting Linear Mixed-Effects Models Using lme4," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 67(i01).
    2. Louis A. Roussos & Deborah L. Schnipke & Peter J. Pashley, 1999. "A Generalized Formula for the Mantel-Haenszel Differential Item Functioning Parameter," Journal of Educational and Behavioral Statistics, , vol. 24(3), pages 293-322, September.
    3. Carolin Strobl & Julia Kopf & Achim Zeileis, 2015. "Rasch Trees: A New Method for Detecting Differential Item Functioning in the Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 289-316, June.
    4. 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).
    5. Rizopoulos, Dimitris, 2006. "ltm: An R Package for Latent Variable Modeling and Item Response Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 17(i05).
    6. Choi, Seung W. & Gibbons, Laura E. & Crane, Paul K., 2011. "lordif: An R Package for Detecting Differential Item Functioning Using Iterative Hybrid Ordinal Logistic Regression/Item Response Theory and Monte Carlo Simulations," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 39(i08).
    7. 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).
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    1. Gonthier, Corentin & Grégoire, Jacques & Besançon, Maud, 2021. "No negative Flynn effect in France: Why variations of intelligence should not be assessed using tests based on cultural knowledge," Intelligence, Elsevier, vol. 84(C).

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