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ARTICLES

A Generalized Logistic Regression Procedure to Detect Differential Item Functioning Among Multiple Groups

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Pages 365-386 | Published online: 04 Nov 2011

REFERENCES

  • Abdi , H. 2007 . “ Bonferroni and Šidák corrections for multiple comparisons ” . In Encyclopedia of measurement and statistics , Edited by: Salkind , N. J. Thousand Oaks, CA : Sage .
  • Ackerman , T. A. 1992 . A didactic explanation of item bias, item impact, and item validity from a multidimensional perspective . Journal of Educational Measurement , 29 : 67 – 91 .
  • Agresti , A. 1990 . Categorical data analysis , New York : Wiley .
  • Agresti , A. 1996 . An introduction to categorical data analysis , New York : Wiley .
  • Agresti , A. 2002 . Categorical data analysis (2nd ed.) , New York : Wiley .
  • Angoff , W. H. and Sharon , A. T. 1974 . The evaluation of differences in test performance of two or more groups . Educational and Psychological Measurement , 34 : 807 – 816 .
  • Bock , R. D. 1975 . Multivariate statistical methods , New York : McGraw-Hill .
  • Bolt , D. M. and Cohen , A. S. 2005 . A mixture model analysis of differential item functioning . Journal of Educational Measurement , 42 : 133 – 148 .
  • Candell , G. L. and Drasgow , F. 1988 . An iterative procedure for linking metrics and assessing item bias in item response theory . Applied Psychological Measurement , 12 : 253 – 260 .
  • Clauser , B. E. and Mazor , K. M. 1998 . Using statistical procedures to identify differential item functioning test items . Educational Measurement: Issues and Practice , 17 : 31 – 44 .
  • Cox , D. R. and Hinkley , D. V. 1974 . Theoretical statistics , London : Chapman and Hall .
  • Ellis , B. B. and Kimmel , H. D. 1992 . Identification of unique cultural response patterns by means of item response theory . Journal of Applied Psychology , 77 : 177 – 184 .
  • Fidalgo , A. M. and Madeira , J. M. 2008 . Generalized Mantel-Haenszel methods for differential item functioning detection . Educational and Psychological Measurement , 68 : 940 – 958 .
  • Fidalgo , A. M. and Scalon , J. D. 2010 . Using generalized Mantel-Haenszel statistics to assess DIF among multiple groups . Journal of Psychoeducational Assessment , 28 : 60 – 69 .
  • Frederickx , S. , Tuerlinckx , F. , De Boeck , P. and Magis , D. 2010 . RIM: A random item mixture model to detect differential item functioning . Journal of Educational Measurement , 47 : 432 – 457 .
  • Hanson , B. A. 1998 . Uniform DIF and DIF defined by differences in item response functions . Journal of Educational and Behavioral Statistics , 23 : 244 – 253 .
  • Hidalgo , M. D. and Lopez-Pina , J. A. 2004 . Differential item functioning detection and effect size: a comparison between logistic regression and Mantel-Haenszel procedures . Educational and Psychological Measurement , 64 : 903 – 915 .
  • Hoijtink , H. 1998 . Constrained latent class analysis using the Gibbs sampler and posterior predictive p-values: Applications to educational testing . Statistica Sinica , 8 : 691 – 712 .
  • Hoijtink , H. , Klugkist , I. and Boelen , P. A. 2008 . Bayesian information of informative hypotheses , New York : Springer .
  • Holland , P. W. and Thayer , D. T. 1988 . “ Differential item performance and the Mantel-Haenszel procedure ” . In Test validity , Edited by: Wainer , H. and Braun , H. I. 129 – 145 . Hillsdale, NJ : Lawrence Erlbaum Associates .
  • Holm , S. 1979 . A simple sequentially rejective multiple testing procedure . Scandinavian Journal of Statistics , 6 : 65 – 70 .
  • Jodoin , M. G. and Gierl , M. J. 2001 . Evaluating type I error and power rates using an effect size measure with the logistic regression procedure for DIF detection . Applied Measurement in Education , 14 : 329 – 349 .
  • Johnson , R. A. and Wichern , D. W. 1998 . Applied multivariate statistical analysis (4th ed.) , Upper Saddle River, NJ : Prentice-Hall .
  • Kanjee , A. 2007 . Using logistic regression to detect bias when multiple groups are tested . South African Journal of Psychology , 37 : 47 – 61 .
  • Kim , S.-H. , Cohen , A. S. and Park , T.-H. 1995 . Detection of differential item functioning in multiple groups . Journal of Educational Measurement , 32 : 261 – 276 .
  • Laurier , M. D. , Froio , L. , Paero , C. and Fournier , M. 1998 . L’élaboration d’un test provincial pour le classement des étudiants en anglais langue seconde au collégial [The elaboration of a provincial test to classify students in English, as a second language, in colleges] , Québec, QC : Direction générale de l’enseignement collégial, ministère de l’Education du Québec .
  • Lord , F. M. 1980 . Applications of item response theory to practical testing problems , Hillsdale, NJ : Lawrence Erlbaum Associates .
  • Magis , D. , Béland , S. , Tuerlinckx , F. and De Boeck , P. 2010 . A general framework and an R package for the detection of dichotomous differential item functioning . Behavior Research Methods , 42 : 847 – 862 .
  • McCullagh , P. and Nelder , J. 1989 . Generalized linear models (2nd ed.) , London : Chapman & Hall .
  • Millsap , R. E. and Everson , H. T. 1993 . Methodology review: statistical approaches for assessing measurement bias . Applied Psychological Measurement , 17 : 297 – 334 .
  • Nagelkerke , N. J. D. 1991 . A note on a general definition of the coefficient of determination . Biometrika , 78 : 691 – 692 .
  • Nelder , J. and Wedderburn , R. W. M. 1972 . Generalized linear models . Journal of the Royal Statistical Society (Series A) , 135 : 370 – 384 .
  • Osterlind , S. J. and Everson , H. T. 2009 . Differential item functioning (2nd ed.) , Thousand Oakes, CA : Sage .
  • Penfield , R. D. 2001 . Assessing differential item functioning among multiple groups: a comparison of three Mantel-Haenszel procedures . Applied Measurement in Education , 14 : 235 – 259 .
  • Penfield , R. D. and Camilli , G. 2007 . “ Differential item functioning and item bias ” . In Handbook of statistics 26: psychometrics , Edited by: Rao , C. R. and Sinharray , S. 125 – 167 . Amsterdam, , The Netherlands : Elsevier .
  • Penfield , R. D. and Lam , T. C. M. 2001 . Assessing differential item functioning in performance assessment: Review and recommendations . Educational Measurement: Issues and Practice , 19 : 5 – 15 .
  • Raîche , G. 2002 . Le dépistage du sous-classement aux tests de classement en anglais, langue seconde, au collégial [The detection of under-classification at English, as a second language, test in college] , Gatineau, QC : Collège de l’Outaouais .
  • Raju , N. S. 1990 . Determining the significance of estimated signed and unsigned areas between two item response functions . Applied Psychological Measurement , 14 : 197 – 207 .
  • Rao , C. R. 1973 . Linear statistical inference and its applications (second edition) , New York : Wiley .
  • Rogers , H. J. and Swaminathan , H. 1993 . A comparison of logistic regression and Mantel-Haenszel procedures for detecting differential item functioning . Applied Psychological Measurement , 17 : 105 – 116 .
  • Schmitt , A. P. and Dorans , N. J. 1990 . Differential item functioning for minority examinees on the SAT . Journal of Educational Measurement , 27 : 67 – 81 .
  • Shaffer , J. P. 1995 . Multiple hypothesis testing . Annual Review of Psychology , 46 : 561 – 584 .
  • Shealy , R. T. and Stout , W. 1993 . A model based standardization approach that separates true bias/DIF from group ability differences and detects test bias/DIF as well as item bias/DIF . Psychometrika , 58 : 159 – 194 .
  • Šidák , Z. 1967 . Rectangular confidence region for the means of multivariate normal distributions . Journal of the American Statistical Association , 62 : 626 – 633 .
  • Swaminathan , H. and Rogers , H. J. 1990 . Detecting differential item functioning using logistic regression procedures . Journal of Educational Measurement , 27 : 361 – 370 .
  • Thissen , D. , Steinberg , L. and Wainer , H. 1988 . “ Use of item response theory in the study of group difference in trace lines ” . In Test validity , Edited by: Wainer , H. and Braun , H. 147 – 170 . Hillsdale, NJ : Lawrence Erlbaum Associates .
  • Van den Noortgate , W. and De Boeck , P. 2005 . Assessing and explaining differential item functioning using logistic mixed models . Journal of Educational and Behavioral Statistics , 30 : 443 – 464 .
  • Wald , A. 1939 . Contributions to the theory of statistical estimation and testing hypotheses . Annals of Mathematical Statistics , 10 : 299 – 326 .
  • Wedderburn , R. W. M. 1976 . On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models . Biometrika , 63 : 27 – 32 .
  • Wilks , S. S. 1938 . The large-sample distribution of the likelihood ratio for testing composite hypotheses . Annals of Mathematical Statistics , 9 : 60 – 62 .
  • Zumbo , B. D. and Thomas , D. R. 1997 . “ A measure of effect size for a model-based approach for studying DIF ” . Prince George, , BC, Canada : University of Northern British Columbia, Edgeworth Laboratory for Quantitative Behavioral Science .
  • Zwick , R. and Ercikan , K. 1989 . Analysis of differential item functioning in the NAEP history assessment . Journal of Educational Measurement , 26 : 55 – 66 .

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