Statistical Approaches to Measurement Invariance

REFERENCES

• Byrne , B. M. , Shavelson , R. J. and Muthén , B. 1989 . Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance . Psychological Bulletin , 105 : 456 – 466 .
   Web of Science ®Google Scholar
• Camilli , G. and Shepard , L. A. 1994 . Methods for identifying biased test items Thousand Oaks , CA : Sage. .
   Google Scholar
• Cleary , T. A. 1968 . Test bias: Prediction of grades of negro and white students in integrated colleges . Journal of Educational Measurement , 5 : 115 – 124 .
   Web of Science ®Google Scholar
• Dorans , N. J. and Kulick , E. 1983 . Assessing unexpected differential item performance of female candidates on SAT and TSWE forms administered in December, 1977: An application of the standardization approach Princeton , NJ : Educational Testing Service . (Research Rep. No. RR-83–9)
   Google Scholar
• Embretson , S. E. and Reise , S. P. 2000 . Item response theory for psychologists Mahwah , NJ : Erlbaum. .
   Google Scholar
• Golembiewski , R. T. , Billingsley , K. and Yeager , S. 1975 . Measuring change and persistence in human affairs: Types of change generated by OD designs . Journal of Applied Behavioral Science , 12 : 133 – 157 .
   Web of Science ®Google Scholar
• Horn , J. L. and McArdle , J. J. 1992 . A practical and theoretical guide to measurement invariance in aging research . Experimental Aging Research , 18 : 117 – 144 .
   PubMed Web of Science ®Google Scholar
• Johnson , E. C. , Meade , A. W. and DuVernet , A. M. 2009 . The role of referent indicators in tests of measurement invariance . Structural Equation Modeling , 16 : 642 – 657 . doi: 10.1080/10705510903206014
   Web of Science ®Google Scholar
• Lord , F. M. and Novick , M. R. 1968 . Statistical theories of mental test scores Oxford , , UK : Addison-Wesley. .
   Google Scholar
• Mantel , N. and Haenszel , W. 1959 . Statistical aspects of the analysis of data from retrospective studies of disease . Journal of the National Cancer Institute , 22 : 719 – 748 .
   PubMed Web of Science ®Google Scholar
• Meade , A. W. 2010 . A taxonomy of effect size measures for the differential functioning of items and scales . Journal of Applied Psychology , 95 : 728 – 743 . doi: 10.1037/a0018966
   PubMed Web of Science ®Google Scholar
• Meade , A. W. and Lautenschlager , G. J. 2004 . A Monte-Carlo study of confirmatory factor analytic tests of measurement equivalence/invariance . Structural Equation Modeling , 11 : 60 – 72 .
   Web of Science ®Google Scholar
• Meredith , W. 1993 . Measurement invariance, factor analysis and factorial invariance . Psychometrika , 58 : 525 – 543 .
   Web of Science ®Google Scholar
• Millsap , R. E. and Kwok , O. M. 2004 . Evaluating the impact of partial factorial invariance on selection in two populations . Psychological Methods , 9 : 93 – 115 .
   PubMed Web of Science ®Google Scholar
• Nye , C. D. and Drasgow , F. 2011 . Effect size indices for analyses of measurement equivalence: Understanding the practical importance of differences between groups . Journal of Applied Psychology , 96 : 966 – 980 . doi: 10.1037/a0022955
   PubMed Web of Science ®Google Scholar
• Raju , N. S. , van der Linden , W. J. and Fleer , P. F. 1995 . IRT-based internal measures of differential functioning of items and tests . Applied Psychological Measurement , 19 : 353 – 368 .
   Web of Science ®Google Scholar
• Samejima , F. 1969 . Estimation of latent ability using a response pattern of graded scores . Psychometrika Monograph Supplement , 34 : 100 – 114 .
   Web of Science ®Google Scholar
• Shealy , R. and Stout , W. 1993 . A model-based standardization approach that separates true bias/DIF from group ability differences and detects test bias/DTF as well as item bias/DIF . Psychometrika , 58 : 159 – 194 . doi: 10.1007/BF02294572
   Web of Science ®Google Scholar
• Stark , S. , Chernyshenko , O. S. and Drasgow , F. 2004 . Examining the effects of differential item (functioning and differential) test functioning on selection decisions: When are statistically significant effects practically important? . Journal of Applied Psychology , 89 : 497 – 508 . doi: 10.1037/0021–9010.89.3.497
   PubMed Web of Science ®Google Scholar
• Steenkamp , J. B. E. M. and Baumgartner , H. 1998 . Assessing measurement invariance in cross-national consumer research . Journal of Consumer Research , 25 : 78 – 90 .
   Web of Science ®Google Scholar
• Thissen , D. , Steinberg , L. and Wainer , H. 1988 . “ Use of item response theory in the study of group differences in trace lines. ” . In Test validity Edited by: Wainer , H. and Braun , H. I. 147 – 172 . Hillsdale , NJ : Erlbaum. .
   Google Scholar
• Vandenberg , R. J. and Lance , C. E. 2000 . A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research . Organizational Research Methods , 3 : 4 – 69 .
   Web of Science ®Google Scholar