Measurement equivalence of ordinal items: A comparison of factor analytic, item response theory, and latent class approaches

Sociological Methods and Research

Volumn 40, Issue 2, 2011, Pages 279-310

  Kankaraš, Miloš ^a   Vermunt, Jeroen K ^a   Moors, Guy ^a  

^a TILBURG UNIVERSITY   (Netherlands)

Author keywords

inequivalence; modeling assumptions; ordinal items; simulation data

Indexed keywords

EID: 79956122641     PISSN: 00491241     EISSN: 15528294     Source Type: Journal    
DOI: 10.1177/0049124111405301     Document Type: Article

References (35)

1. Andrich, D. 1978. "A Rating Formulation for Ordered Response Categories." Psychometrika 43:561-73.
2. Bartholomew, D.J. and M. Knott. 1999. Latent Variabe Models and Factor Analysis. London: Arnold.
3. Bergsma, W.P., M.A. Croon, and J.A. Hagenaars. 2009. Marginal Models f{hook}or Dependent, Clustered and Longitudinal Categorical Data. New York: Springer.
4. Billiet, J.B. and M.J. McClendon. 2000. "Modeling Acquiescence in Measurement Models for Two Balanced Sets of Items." Structural Equation Modeling 7: 608-28.
5. Bock, R.D. and M.F. Zimovski. 1997. 'Multiple Group IRT.' Pp. 433-48 in Handbook of{hook} Modern Item Response Theory, edited by W. J. van der Linden and R. K. Hambleton. New York: Springer.
6. Clogg, C.C. and L.A. Goodman. 1985. "Simultaneous Latent Structure Analysis in Several Groups." Sociological Methodology 1985:81-110.
7. French, B.F. and W.H. Finch. 2006. "Confirmatory Factor Analytic Procedures for the Determination of Measurement Invariance." Structural Equation Modeling 13:378-402.
8. Greenleaf, E.A. 1992. "Measuring Extreme Response Style. " Public Opinion Quarterly 56:323-51.
9. Hagenaars, J.A. 1990. Categorical Longitudinal Data-Loglinear Analysis of{hook} Panel, Trend and Cohort Data. Newbury Park, CA: Sage.
10. Heinen, T. 1996. Latent Class and Discrete Latent Trait Models: Similarities and Dif{hook}f{hook}erences.Thousand Oaks, CA: Sage.
11. Horn, J.L. and J.J. McArdle. 1992. "A Practical and Theoretical Guide to Measurement Invariance in Aging Research." Experimental Aging Research 18:117-44.
12. Hui, C.H. and H.C. Triandis. 1989. "Effects of Culture and Response Format on Extreme Response Style." Journal of{hook} Cross-Cultural Psychology 20(3):296-309.
13. Jöreskog, K.G. 1971. "Simultaneous Factor Analysis in Several Populations." Psychometrika 6:409-26.
14. Kankaraš, M. and G. Moors. 2009. 'Measurement Equivalence in Solidarity Attitudes in Europe. Insights From a Multiple Group Latent Class Factor Approach.' International Sociology 24(4):557-79.
15. Kankaraš, M., G. Moors, and J.K. Vermunt. 2010. 'Testing for Measurement Invariance With Latent Class Analysis.' Pp. 359-84 in Cross-cultural Analysis: Methods and Applications,edited by E. Davidov, P. Schmidt, and J. Billiet. New York: Routledge.
16. Magidson, J. and J.K. Vermunt. 2001. "Latent Class Factor and Cluster Models, Bi-plots and Related Graphical Displays." Sociological Methodology 31:223-64.
17. Magidson, J. and J.K. Vermunt. 2003. 'Comparing Latent Class Factor Analysis With the Traditional Approach in Data Mining.' Pp. 373-83 in Statistical Data Mining and Knowledge Discovery, edited by H. Bozdogan. Boca Raton, FL: Chapman & Hall/CRC.
18. Masters, G.N. 1982. "A Rasch Model for Partial Credit Scoring." Psychometrika 47:149-74.
19. McCutcheon, A. 2002. 'Basic Concepts and Procedures in Singe- and Multiple-group Latent Class Analysis.' Pp. 56-88 in Applied Latent Class Analysis, edited by J. Hagenaars and A. McCutcheon. Cambridge, UK: Cambridge University Press.
20. Meade, A.W. and D.J. Bauer. 2007. "Power and Precision in Confirmatory Factor Analytic Tests of Measurement Invariance." Structural Equation Modeling 14(4):611-35.
21. Meade, A.W. and G.J. Lautenschlager. 2004a. "A Comparison of Item Response Theory and Confirmatory Factor Analytic Methodologies for Establishing Measurement Equivalence/Invariance." Organizational Research Methods 7(10):361-88.
22. Meade, A.W. and G.J. Lautenschlager. 2004b. "A Monte-Carlo Study of Confirmatory Factor Analytic Tests of Measurement Equivalence/Invariance. " Structural Equation Modeling 11(1):60-72.
23. Mellenbergh, G.J. 1989. "Item Bias and Item Response Theory. " International Journal of{hook} Educational Research 13:127-43.
24. Moors, G. 2003. "Diagnosing Response Style Behavior by Means of a Latent-Class Factor Approach. Socio-demographic Correlates of Gender Role Attitudes and Perceptions of Ethnic Discrimination Re-examined. " Quality & Quantity 37:227-302.
25. Moors, G. 2004. "Facts and Artefacts in the Comparison of Attitudes Among Ethnic Minorities. A Multi-group Latent Class Structure Model With Adjustment for Response Style Behaviour." European Sociological Review 20:303-20.
26. Muraki, E. 1999. "Stepwise Analysis of Differential Item Functioning Based on Multiple-group Partial Credit Model." Journal of{hook} Educational Measurement 36:217-32.
27. Paulhus, D.L. 1991. 'Measures of Personality and Social Psychological Attitudes.' Pp. 17-59 in Measures of{hook} Social Psychological Attitudes Series, Vol. 1, edited by J. P. Robinson and R. P. Shaver. San Diego, CA: Academic Press.
28. Raju, N.S., L.J. Laffitte, and B.M. Byrne. 2002. "Measurement Equivalence: A Comparison of Methods Based on Confirmatory Factor Analysis and Item Response Theory." Journal of{hook} Applied Psychology 87(3):517-29.
29. Samejima, F. 1969. 'Estimation of Latent Ability Using a Response Pattern of Graded Scores.' Psychometric Monograph Supplement No.17.
30. Skrondal, A. and S. Rabe-Hesketh. 2004. Generalized Latent Variable Modeling: Multilevel, Longitudinal and Structural Equation Models. Boca Raton, FL: Chapman & Hall/CRC.
31. Steenkamp, J.E.M. and H. Baumgartner. 1998. "Assessing Measurement Invariance in Cross-national Consumer Research." Journal of{hook} Consumer Research 25:78-90.
32. Thissen, D., L. Steinberg, and H. Wainer. 1988. 'Use of Item Response Theory in the Study of Group Differences in Trace Lines.' Pp. 147-69 in Test Validity, edited by H. Wainer and H. Braun. Hillsdale, NJ: Lawrence Erlbaum.
33. Vandenberg, R.J. and C.E. Lance. 2000. "A Review and Synthesis of the Measurement Invariance Literature: Suggestions, Practices, and Recommendations for Organizational Research." Organizational Research Methods 2:4-69.
34. Vermunt, J.K. 2001. "The Use of Restricted Latent Class Models for Defining and Testing Nonparametric and Parametric IRT Models. " Applied Psychological Measurement 25:283-94.
35. Vermunt, J.K. and J. Magidson. 2008. LG-Syntax User's Guide: Manual f{hook}or Latent GOLD 4.5 Syntax Module, Belmont, MA: Statistical Innovations Inc.