Evaluation of MIMIC-Model Methods for DIF Testing With Comparison to Two-Group Analysis

REFERENCES

• Ankenmann , R. D. , Witt , E. A. and Dunbar , S. B. 1999 . An investigation of the power of the likelihood ratio goodness-of-fit statistic in detecting differential item functioning . Journal of Educational Measurement , 36 : 277 – 300 .
   Web of Science ®Google Scholar
• Benjamini , Y. and Hochberg , Y. 1995 . Controlling the false discovery rate: A practical and powerful approach to multiple testing . Journal of the Royal Statistical Society, Series B , 57 : 289 – 300 .
   Web of Science ®Google Scholar
• Birnbaum , A. 1968 . “ Some latent trait models ” . In Statistical theories of mental test scores , Edited by: Lord , F. M. and Novick , M. R. 395 – 479 . Reading , MA : Addison-Wesley .
   Google Scholar
• Bock , R. D. and Aitkin , M. 1981 . Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm . Psychometrika , 46 : 443 – 459 .
   Web of Science ®Google Scholar
• Bolt , D. M. , Hare , R. D. , Vitale , J. E. and Newman , J. P. 2004 . A multigroup item response theory analysis of the Psychopathy Checklist-Revised . Psychological Assessment , 16 : 155 – 168 .
   PubMed Web of Science ®Google Scholar
• Camilli , G. and Shepard , L. A. 1994 . Methods for identifying biased test items , Thousand Oaks , CA : Sage .
   Google Scholar
• Chambless , D. L. , Caputo , G. C. , Bright , P. and Gallagher , R. 1984 . Assessment of ‘fear of fear’ in agoraphobics: The Body Sensations Questionnaire and the Agoraphobic Cognitions Questionnaire . Journal of Consulting and Clinical Psychology , 52 : 1090 – 1097 .
   PubMed Web of Science ®Google Scholar
• Chen , C. and Anthony , J. C. 2003 . Possible age-associated bias in reporting of clinical features of drug dependence: Epidemiological evidence on adolescent-onset marijuana use . Addiction , 98 : 71 – 82 .
   PubMed Web of Science ®Google Scholar
• Christensen , H. , Jorm , A. F. , MacKinnon , A. J. , Korten , A. E. , Jacomb , P. A. Henderson , A. S. 1999 . Age differences in depression and anxiety symptoms: A structural equation modeling analysis of data from a general population sample . Psychological Medicine , 29 : 325 – 339 .
   PubMed Web of Science ®Google Scholar
• Cohen , A. S. , Kim , S. and Wollack , J. A. 1996 . An investigation of the likelihood ratio test for detection of differential item functioning . Applied Psychological Measurement , 20 : 15 – 26 .
   Web of Science ®Google Scholar
• Deacon , B. J. , Abramowitz , J. S. , Woods , C. M. and Tolin , D. F. 2003 . The Anxiety Sensitivity Index-Revised: Psychometric properties and factor structure in two nonclinical samples . Behaviour Research and Therapy , 41 : 1427 – 1449 .
   PubMed Web of Science ®Google Scholar
• Edelen , M. O. , Thissen , D. , Teresi , J. A. , Kleinman , M. and Ocepek-Welikson , K. 2006 . Identification of differential item functioning using item response theory and the likelihood-based model comparison approach . Medical Care , 44 : S134 – S142 .
   PubMed Web of Science ®Google Scholar
• Finch , H. 2005 . The MIMIC model as a method for detecting DIF: Comparison with Mantel-Haenszel, SIBTEST, and the IRT likelihood ratio . Applied Psychological Measurement , 29 : 278 – 295 .
   Web of Science ®Google Scholar
• Fleishman , J. A. , Spector , W. D. and Altman , B. M. 2002 . Impact of differential item functioning on age and gender differences in functional disability . Journal of Gerontology: Social Sciences , 57B : S275 – S284 .
   Web of Science ®Google Scholar
• Gelin , M. N. 2005 . Type I error rates of the DIF MIMIC approach using Jöreskog's covariance matrix with ML and WLS estimation , Canada : University of British Columbia . Unpublished doctoral dissertation
   Google Scholar
• Grayson , D. A. , Mackinnon , A. , Jorm , A. F. , Creasey , H. and Broe , G. A. 2000 . Item bias in the Center for Epidemiological Studies Depression Scale: Effects of physical disorders and disability in an elderly community sample . Journal of Gerontology: Psychological Sciences , 55B : P273 – P282 .
   Google Scholar
• Hagtvet , K. A. and Sipos , K. 2004 . Measuring anxiety by ordered categorical items in data with subgroup structure: The case of the Hungarian version of the Trait Anxiety Scale of the State-Trait Anxiety Inventory for Children (STAIC-H) . Anxiety, Stress, and Coping , 17 : 49 – 67 .
   Web of Science ®Google Scholar
• Hill , C. D. 2004 . Precision of parameter estimates for the graded item response model , University of North Carolina at Chapel Hill . Unpublished master's thesis
   Google Scholar
• Holland , P. W. and Wainer , H. , eds. 1993 . Differential item functioning , Hillsdale , NJ : Erlbaum .
   Google Scholar
• Jöreskog , K. G. 1971 . Simultaneous factor analysis in several populations . Psychometrika , 36 : 409 – 426 .
   Web of Science ®Google Scholar
• Jöreskog , K. G. and Goldberger , A. S. 1975 . Estimation of a model with multiple indicators and multiple causes of a single latent variable . Journal of the American Statistical Association , 70 : 631 – 639 .
   Web of Science ®Google Scholar
• Kim , S. and Cohen , A. S. 1995 . A comparison of Lord's chi-square, Raju's area measures, and the likelihood ratio test on detection of differential item functioning . Applied Measurement in Education , 8 : 291 – 312 .
   Web of Science ®Google Scholar
• Kim , S. and Cohen , A. S. 1998 . Detection of differential item functioning under the graded response model with the likelihood ratio test . Applied Psychological Measurement , 22 : 345 – 355 .
   Web of Science ®Google Scholar
• MacIntosh , R. and Hashim , S. 2003 . Variance estimation for converting MIMIC model parameters to IRT parameters in DIF analysis . Applied Psychological Measurement , 27 : 372 – 379 .
   Web of Science ®Google Scholar
• Mast , B. T. and Lichtenberg , P. A. 2000 . Assessment of functional abilities among geriatric patients: A MIMIC model of the functional independence measure . Rehabilitation Psychology , 45 : 49 – 64 .
   Web of Science ®Google Scholar
• Maydeu-Olivares , A. and Cai , L. 2006 . A cautionary note on using G2 (dif) to assess relative model fit in categorical data analysis . Multivariate Behavioral Research , 41 : 55 – 64 .
   PubMed Web of Science ®Google Scholar
• Meade , A. W. and Lautenschlager , G. J. 2004 . A comparison of item response theory and confirmatory factor analytic methodologies for establishing measurement equivalence/invariance . Organizational Research Methods , 7 : 361 – 388 .
   Web of Science ®Google Scholar
• Mellenbergh , G. J. 1989 . Item bias and item response theory . International Journal of Educational Research , 13 : 127 – 143 .
   Google Scholar
• Millsap , R. E. and Everson , H. T. 1993 . Methodology review: Statistical approaches for assessing measurement bias . Applied Psychological Measurement , 17 : 297 – 334 .
   Web of Science ®Google Scholar
• Millsap , R. E. and Yun-Tein , J. 2004 . Assessing factorial invariance in ordered-categorical measures . Multivariate Behavioral Research , 39 : 479 – 515 .
   Web of Science ®Google Scholar
• Muthén , B. O. 1985 . A method for studying the homogeneity of test items with respect to other relevant variables . Journal of Educational Statistics , 10 : 121 – 132 .
   Google Scholar
• Muthén , B. O. 1988 . “ Some uses of structural equation modeling in validity studies: Extending IRT to external variables ” . In Test validity , Edited by: Wainer , H. and Braun , H. I. 213 – 238 . Hillsdale , NJ : Erlbaum .
   Google Scholar
• Muthén , B. O. 1989 . Latent variable modeling in heterogeneous populations . Psychometrika , 54 : 557 – 585 .
   Web of Science ®Google Scholar
• Muthén , B. O. and Christoffersson , A. 1981 . Simultaneous factor analysis of dichotomous variables in several groups . Psychometrika , 46 : 407 – 419 .
   Web of Science ®Google Scholar
• Muthén , B. O. , Kao , C. and Burstein , L. 1991 . Instructionally sensitive psychometrics: An application of a new IRT-based detection technique to mathematics achievement test items . Journal of Educational Measurement , 28 : 1 – 22 .
   Web of Science ®Google Scholar
• Muthén , L. K. and Muthén , B. O. 2007 . Mplus: Statistical Analysis with Latent Variables (Version 4.21) [Computer software] , Los Angeles : Author .
   Google Scholar
• Oishi , S. 2006 . The concept of life satisfaction across cultures: An IRT analysis . Journal of Research in Personality , 40 : 411 – 423 .
   Web of Science ®Google Scholar
• Oort , F. J. 1992 . Using restricted factor analysis to detect item bias . Methodika , 6 : 150 – 166 .
   Google Scholar
• Oort , F. J. 1998 . Simulation study of item bias detection with restricted factor analysis . Structural Equation Modeling , 5 : 107 – 124 .
   Web of Science ®Google Scholar
• Raju , N. S. , Laffitte , L. J. and Byrne , B. M. 2002 . Measurement equivalence: A comparison of methods based on confirmatory factor analysis and item response theory . Journal of Applied Psychology , 87 : 517 – 529 .
   PubMed Web of Science ®Google Scholar
• Reise , S. P. , Widaman , K. F. and Pugh , R. H. 1993 . Confirmatory factor analysis and item response theory: Two approaches for exploring measurement invariance . Psychological Bulletin , 114 : 552 – 566 .
   PubMed Web of Science ®Google Scholar
• Rensvold , R. B. and Cheung , G. W. 2001 . “ Testing for metric invariance using structural equation models: Solving the standardization problem ” . In Equivalence in measurement: Research in management , Edited by: Schriesheim , C. A. and Reider , L. L. 25 – 50 . Greenwich , CT : Information Age Publishing .
   Google Scholar
• Rodebaugh , T. L. , Woods , C. M. , Thissen , D. M. , Heimberg , R. G. , Chambless , D. L. and Rapee , R. M. 2004 . More information from fewer questions: The factor structure and item properties of the original and brief Fear of Negative Evaluation Scale . Psychological Assessment , 16 : 169 – 181 . Contributions of the first two authors are equal
   PubMed Web of Science ®Google Scholar
• Samejima , F. 1997 . “ Graded response model ” . In Handbook of modern item response theory , Edited by: van der Linden , W. J. and Hambleton , R. K. New York : Springer .
   Google Scholar
• Schroeder , J. R. and Moolchan , E. T. 2007 . Ethnic differences among adolescents seeking smoking cessation treatment: A structural analysis of responses on the Fagerström test for nicotine dependence . Nicotine and Tobacco Research , 9 : 137 – 145 .
   PubMed Web of Science ®Google Scholar
• Sörbom , D. 1974 . A general method for studying differences in factor means and factor structure between groups . British Journal of Mathematical and Statistical Psychology , 27 : 229 – 239 .
   Web of Science ®Google Scholar
• Stark , S. , Chernyshenko , O. S. and Drasgow , F. 2006 . Detecting differential item functioning with confirmatory factor analysis and item response theory: Toward a unified strategy . Journal of Applied Psychology , 91 : 1291 – 1306 .
   Web of Science ®Google Scholar
• Takane , Y. and de Leeuw , J. 1987 . On the relationship between item response theory and factor analysis of discretized variables . Psychometrika , 52 : 393 – 408 .
   Web of Science ®Google Scholar
• Thissen , D. 2001 . IRTLRDIF v2.0b: Software for the computation of the statistics involved in item response theory likelihood-ratio tests for differential item functioning , L. L. Thurstone Psychometric Laboratory, University of North Carolina at Chapel Hill . Documentation for computer program
   Google Scholar
• Thissen , D. , Chen , W.-H. and Bock , R. D. 2003 . Multilog (Version 7) [Computer software] , Lincolnwood , IL : Scientific Software International .
   Google Scholar
• Thissen , D. , Steinberg , L. and Gerrard , M. 1986 . Beyond group-mean differences: The concept of item bias . Psychological Bulletin , 99 : 118 – 128 .
   Web of Science ®Google Scholar
• Thissen , D. , Steinberg , L. and Kuang , D. 2002 . Quick and easy implementation of the Benjamini-Hochberg procedure for controlling the false positive rate in multiple comparisons . Journal of Educational and Behavioral Statistics , 27 : 77 – 83 .
   Web of Science ®Google Scholar
• 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 – 169 . Hillsdale , NJ : Erlbaum .
   Google Scholar
• Thissen , D. , Steinberg , L. and Wainer , H. 1993 . “ Detection of differential item functioning using the parameters of item response models ” . In Differential item functioning , Edited by: Holland , P. W. and Wainer , H. 67 – 111 . Hillsdale , NJ : Erlbaum .
   Google Scholar
• Wang , W. 2004 . Effects of anchor item methods on detection of differential item functioning within the family of Rasch models . The Journal of Experimental Education , 72 : 221 – 261 .
   Web of Science ®Google Scholar
• Wang , W. and Yeh , Y. 2003 . Effects of anchor item methods on differential item functioning detection with the likelihood ratio test . Applied Psychological Measurement , 27 : 479 – 498 .
   Web of Science ®Google Scholar
• Williams , V. S. L. , Jones , L. V. and Tukey , J. W. 1999 . Controlling error in multiple comparisons, with examples from state-to-state differences in educational achievement . Journal of Educational and Behavioral Statistics , 24 : 42 – 69 .
   Web of Science ®Google Scholar
• Woods , C. M. 2006 . Ramsay-curve item response theory to detect and correct for nonnormal latent variables . Psychological Methods , 11 : 253 – 270 .
   PubMed Web of Science ®Google Scholar
• Woods , C. M. Empirical selection of anchors for tests of differential item functioning . Applied Psychological Measurement , (in press)
   Web of Science ®Google Scholar
• Woods , C. M. , Oltmanns , T. F. and Turkheimer , E. 2008 . Differential item functioning on the Schedule for Nonadaptive and Adaptive Personality Manuscript submitted for publication
   Google Scholar