American Educational Research Association, American Psychological Association and National Council on Measurement in Education (1999). Standards for educational and psychological testing. Washington DC: American Educational Research Association.

Barrett, P. (2007). Structural equation modeling: Adjusting model fit. Personality and Individual Differences, 42, 815-824.

Bollen, K. A. (1989). Structural equations with latent variables. New York, NY: Wiley.

Brannick, M. T. (1995). Critical comments on applying covariance structure modeling. Journal of Organizational Behavior, 16, 201-213.

Byrne, B. M., & Stewart, S. M. (2006). The MACS approach to testing for multigroup invariance of a second-order structure: A walk through the process. Structural Equation Modeling, 13, 287-321.

Camilli, G., & Shepard, L. A. (1994). Measurement methods for the social sciences series: Methods for identifying biased test items (Vol. 4). Thousand Oaks, CA: Sage.

Chen, F. F. (2007). Sensitivity of goodness of fit indexes to lack of measurement invariance. Structural Equation Modeling, 14, 464-504.

Cheung, G. W., & Rensvold, R. B. (1999). Testing factorial invariance across groups: A reconceptualization and proposed new method, Journal of Management, 25, 1-27.

Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9, 233-255.

Christensen, H., MacKinnon, A. J., Korten, A., & Jorm, A. F. (2001). The “common cause hypothesis” of cognitive aging: Evidence for not only a common factor but also specific associations of age with vision and grip strength in a cross-sectional analysis. Psychology and Aging, 16, 588-599.

Dorans, N. J., & Holland, P. W. (1993). DIF detection and description: Mantel Haenszel and standardization. In P. W. Holland & H. Wainer (Eds.), Differential Item Functioning (pp. 35-66). Hillsdale NJ: Lawrence Erlbaum.

Drasgow, F. (1984). Scrutinizing psychological tests: Measurement equivalence and equivalent relations with external variables are central issues. Psychological Bulletin, 95, 134–135.

Everson, H. T., & Millsap, R. E. (2004). Beyond individual differences: Exploring school effects on SAT scores. Educational Psychologist, 39, 157-172.

Finch, H. (2005). The MIMIC model as a method for detecting DIF: Comparison with Mantel-Haenszel, SIBTEST and the IRT likelihood ratio test. Applied Psychological Measurement, 29, 278-295.

Finch, H., & French, B. F. (2011). Estimation of MIMIC model parameters with multilevel data. Structural Equation Modeling, 18, 229-252.

Fleishman, J. A. (2005). Using MIMIC models to assess the influence of differential item functioning. Retrieved October, 24 2005, from http://outcomes.cancer.gov/conference/irt/fleishman.pdf

Fleishman, J. A., Spector, W. D., & Altman, B. M. (2002). Impact of differential item functioning on age and gender differences in functional disability. Journal of Gerontology: Social Sciences, 57, 275-283.

Gallo, J. J., Anthony, J. C., & Muthen, B. O. (1994). Age differences in the symptoms of depression: A latent trait analysis. Journal of Gerontology: Psychological Sciences, 49, 251-264.

González-Romá, V., Hernández, A., & Gómez-Benito, J. (2006). Power and Type I error of the mean and covariance structure analysis model for detecting differential item functioning in graded response items. Multivariate Behavioral Research, 41, 29-53.

Jones, R. N. (2006). Identification of measurement differences between English and Spanish language versions of the Mini-Mental State Examination: Detecting differential item functioning using MIMIC modeling. Medical Care, 44, 124-133.

Jöreskog, K. G., & 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, 10, 631-639.

Kamata, A., & Bauer, D. J. (2008). A note on the relation between factor analytic and item response theory models. Structural Equation Modeling, 15, 136-153.

Lee, J. (2009). Type I error and power of the MACS CFA for DIF detection: Methodological issues and resolutions. Unpublished doctoral dissertation, University of Kansas, USA.

Lee, J., Little, T. D., & Preacher, K. J. (2010). Methodological issues in using structural equation models for testing differential item functioning. In E. Davidov, P. Schmidt, and J. Billiet (Eds.), Cross-cultural data analysis: Methods and applications. (pp. 57-86). New York, NY: Routledge.

Little, T. D. (1997). Mean and covariance structures (MACS) analyses of cross-cultural data: Practical and theoretical issues. Multivariate Behavioral Research, 32, 53-76.

Little, T. D., Slegers, D. W., & Card, N. A. (2006). A non-arbitrary method of identifying and scaling latent variables in SEM and MACS models. Structural Equation Modeling, 13, 59-72.

MacIntosh, R., & Hashim, S. (2003). Variance estimation for converting MIMIC model parameters to IRT parameters in DIF analysis. Applied Psychological Measurement, 27, 372-379.

Mackinnon, A., Jorm, A. F., Christensen, H., Korten, A. E., Jacomb, P. A., & Rodgers, B. (1999). A short form of the Positive and Negative Affect Schedule: Evaluation of factorial validity and invariance across demographic variables in a community sample. Personality and Individual Differences, 27, 405-416.

Maydeu-Olivares, A., & 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.

McDonald, R. P. (1999). Test theory: Unified treatment. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.

Meade, A. W., & Lautenschlager, G. K. (2004). A Monte-Carlo study of confirmatory factor analytic tests of measurement equivalence/ invariance. Structural Equation Modeling, 11, 60-72.

Meade, A. W., Johnson, E. C., & Braddy, P. W. (2008). Power and sensitivity of alternative fit indices in test of measurement invariance. Journal of Applied Psychology, 93, 568-592.

Mehta, P. D., & Neale, M. C. (2005). People are variables too: Multilevel structural equations modeling. Psychological Methods, 10, 259-284.

Mellenbergh, G. J. (1994). A unidimensional latent trait model for continuous item responses. Multivariate Behavioral Research, 29, 223-237.

Millsap, R. E. (2005). Four unresolved problems in studies of factorial invariance. In A. Maydeu-Olivares & J. J. McArdle (Eds.), Contemporary psychometrics (pp. 153-172). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.

Muthén, B. O. (1988). Some uses of structural equation modeling in validity studies: Extending IRT to external variables. In H. Wainder & H. Braun (Eds.), Test Validity (pp. 213–238). Hillsdale, NJ: Lawrence Erlbaum.

Muthén, B. O., & Asparouhov, T. (2002). Latent variable analysis with categorical outcomes: Multiple-group and growth modeling in Mplus. Los Angeles: University of California and Muthén & Muthén.

Muthén, B. O., Kao, C. F., & Burstein, L. (1991). Instructionally sensitive psychometrics: Application of a new IRT-based detection technique to mathematics achievement test items. Journal of Educational Measurement, 28, 1-22.

Muthén, L.K. & Muthén, B.O. (1998–2010). Mplus user’s guide. (6th Ed.). Los Angeles, CA: Muthén & Muthén.

Navas-Ara, M. J., & Gomez-Benito, J. (2002). Effects of ability scale purification on identification of DIF. European Journal of Psychological Assessment, 18, 9-15.

Raju, N. S., Laffitte, L. J., & 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.

Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage.

Reise, S. P., Widaman, K. F., & Pugh, R. H. (1993). Confirmatory Factor Analysis and item response theory: Two approaches for exploring measurement invariance. Psychological Bulletin, 114, 552-566.

SAS Institute. (2002–2008). SAS/STAT 9.2 user's guide. Cary, NC: SAS Institute Inc.

Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometrika Monographs, No. 17.

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.

Stark, S., Chernyshenko, O.S., & Drasgow, F. (2004). Examining the effects of differential item/test functioning (DIF/DTF) on selection decisions: When are statistically significant effects practically important? Journal of Applied Psychology, 89, 497-508.

Stark, S., Chernyshenko, O. S., & Drasgow, F. (2006). Detecting differential item functioning with confirmatory factor analysis and item response theory: Toward a unified strategy. Journal of Applied Psychology, 91, 1292-1306.

Teresi, J. A. (2006). Overview of quantitative measurement methods: Equivalence, invariance, and differential item functioning in health applications. Medical Care, 44, 39-49.

Vandenberg, R. J., & 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.

Woods, C. M. (2009a). Evaluation of MIMIC-model methods for DIF testing with comparison to two-group anlaysis. Multivariate Behavioral Research, 44, 1-27.

Woods, C. M. (2009b). Testing for differential item functioning with measures of partial association. Applied Psychological Measurement, 33, 538–554.

Woods, C. M., & Grimm, K. J. (2011). Testing for nonuniform differential item functioning with multiple indictor multiple cause models. Applied Psychological Measurement, 35, 339-361.

Woods, C. M., Oltmanns, T. F., & Turkheimer, E. (2009). Illustration of MIMIC-Model DIF Testing with the Schedule for Nonadaptive and Adaptive Personality. Journal of Psychopathology and Behavioral Assessment, 31, 320-330.