The accuracy of multilevel structural equation modeling with pseudobalanced groups and small samples

Structural Equation Modeling

Volumn 8, Issue 2, 2001, Pages 157-174

  Hox, Joop J ^a   Maas, Cora J M ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642493333     PISSN: 10705511     EISSN: None     Source Type: Journal    
DOI: 10.1207/S15328007SEM0802_1     Document Type: Article

References (35)

1. Afshartous, D. (1995, April). Determination of sample size for multilevel model design. Paper presented at the Annual Meeting of the American Educational Research Association, San Francisco, CA.
2. Boomsma, A. (1983). On the robustness of LISREL (maximum likelihood estimation) against small sample size and nonnormality. Amsterdam: Sociometric Research Foundation.
3. Busing, F. (1993). Distribution characteristics of variance estimates in two-level models. Unpublished manuscript. Leiden: Department of Psychometrics and Research Methodology, Leiden University.
4. Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical linear models. Newbury Park, CA: Sage.
5. Bryk, A. S., Raudenbush, S. W., & Congdon, R. T. (1996). HLM. Hierarchical linear and nonlinear modeling with the HLM/2L and HLM/3L programs. Chicago: Scientific Software International.
6. Chou, C. P., & Bentler, P. M. (1995). Estimates and tests in structural equation modeling. In R. H. Hoyle (Ed.), Structural equation modeling: Concepts, issues, and applications. (pp. 37-55). Newbury Park, CA: Sage.
7. Cohen, M. P. (1998). Determining sample sizes for surveys with data analyzed by hierarchical linear models. Journal of Official Statistics, 14, 267-275.
8. Cronbach, L. J., & Webb, N. (1975). Between-class and within-class effects in a reported aptitude x treatment interaction: Re-analysis of a study by G. L. Anderson. Journal of Educational Psychology, 67, 717-724.
9. Goldstein, H. (1995). Multilevel statistical model. London: Griffin.
10. Goldstein, H., & McDonald, R. (1988). A general model for the analysis of multilevel data. Psychometrika, 53, 455-467.
11. Gustaffson, J.-E., & Stahl, P. E. (1999). Streams user's guide, Vs. 2.0. Mölndal, Sweden: Multivariate Ware.
12. Hoogland, J. J., & Boomsma, A. (1998). Robustness studies in covariance structure modelling: An overview and a meta-analysis. Sociological Methods & Research, 26, 3, 329-367.
13. Hox, J. J. (1993). Factor analysis of multilevel data: Gauging the Muthén model. In J. H. L. Oud & R.A. W. van Blokland-Vogelesang (Eds.), Advances in longitudinal and multivariate analysis in the behavioral sciences (pp. 141-156). Nijmegen: ITS.
14. Hox, J. J. (1995). Applied multilevel analysis. Amsterdam: TT-Publikaties.
15. Hox, J. J. (1998). Multilevel modeling: When and why. In I. Balderjahn, R. Mathar, & M. Schader (Eds.), Classification, data analysis, and data highways (pp. 147-154). New York: Springer.
16. Hox, J. J. (1999). Split2 (Version 2) [Computer Software]. Utrecht, The Netherlands: Author. Available from http://www.fss.uu.nl/ms/jh.
17. Jöreskog, K. G., & Sörbom, D. (1993). LISREL8: User's reference guide. Chicago: Scientific Software International.
18. Kaplan, D., & Elliott, P. R. (1997). Adidactic example of multilevel structural equation modeling applicable to the study of organizations. Structural Equation Modeling, 4, 1-24.
19. Kish, L. (1965). Survey sampling. New York: Wiley.
20. Li, F., Duncan, T. E., Harmer, P., Acock, A., & Stoolmiller, M. (1998). Analyzing measurement models of latent variables through multilevel confirmatory factor analysis and hierarchical linear modeling approaches. Structural Equation Modeling, 5, 294-306.
21. McArdle, J. J., & Hamagami, F. (1996). Multilevel models from a multiple group structural equation perspective. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and Techniques (pp. 89-125). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
22. McDonald, R. P. (1994). The bilevel reticular action model for path analysis with latent variables. Sociological Methods & Research, 22, 399-413.
23. Meijer, E., Busing, F. M. T. A., & Van der Leeden, R. (1998). Estimating bootstrap confidence intervals for two-level models. In: J. J. Hox & E. D. de Leeuw (Eds.), Assumptions, robustness, and estimation methods in multivaiate modeling (pp. 35-48). Amsterdam: TT-Publikaties.
24. Mok, M. (1995). Sample size requirements for 2-level designs in educational research. Unpublished manuscript, Multilevel Models Project, Institute of Education, University of London. Available from http://www.ioe.ac.uk/multilevel.
25. Muthén, B. (1989). Latent variable modeling in heterogeneous populations. Psychometrika, 54, 557-585.
26. Muthén, B. (1990). Means and covariance structure analysis of hierarchical data. Los Angeles: UCLA Statistics series, No. 62.
27. Muthén, B. (1994). Multilevel covariance structure analysis. Sociological Methods & Research, 22, 376-398.
28. Muthén, L. K., & Muthén, B. O. (1998). Mplus. The comprehensive modeling program for applied researchers. Los Angeles, CA: Authors.
29. Muthén, B., & Satorra, A. (1989). Multilevel aspects of varying parameters in structural models. In R. D. Bock (Ed.), Multilevel analysis of educational data (pp. 87-99). San Diego: Academic.
30. Muthén, B., & Satorra, A. (1995). Complex sample data in structural equation modeling. In P. V. Marsden (Ed.), Sociological methodology, 1995 (pp. 267-316). Oxford, England: Blackwell.
31. Muthén, B., Wisnicky, K. S., & Nelson, G. (1991, April). Estimation of covariance structure models with multilevel (clustered) data. Paper presented at the annual meeting of the American Educational Research Association, Chicago, IL.
32. Rasbash, J., & Woodhouse, G. (1995). MLn command reference. London: Institute of Education, University of London.
33. Searle, S. R., Casella, G., & McCulloch, C. E. (1992). Variance components. New York: Wiley.
34. Snijders, T. A. B., & Bosker, R. J. (1993). Standard errors and sample sizes for two-level research. Journal of Educational Statistics, 18, 237-259.
35. Van der Leeden, R., & Busing, F. (1994). First iteration versus IGLS/RIGLS estimates in two-level models: A Monte Carlo study with ML3. Unpublished manuscript, Department of Psychometrics and Research Methodology, Leiden University.