Multivariate contrasts for repeated measures designs under assumption violations

Journal of Modern Applied Statistical Methods

Volumn 3, Issue 2, 2004, Pages 333-344

  Lix, Lisa M ^a,b   Hinds, Aynslie M ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

^b Department of Community Health Sciences ^*  (Canada)

Author keywords

priori contrasts; Covariance heterogeneity; Robust estimators

Indexed keywords

EID: 18344378467     PISSN: 15389472     EISSN: None     Source Type: Journal    
DOI: 10.22237/jmasm/1099267620     Document Type: Article

References (33)

1. Bird, K. D., & Hadzi-Pavlovic, D. (1983). Simultaneous test procedures and the choice of a test statistic in MANOVA. Psychological Bulletin, 93, 167-178.
2. Boik, R. J. (1988). The mixed model for multivariate repeated measures: Validity conditions and an approximate test. Psychometrika, 53, 469-486.
3. Boik, R. J. (1991). Scheffe's mixed model for multivariate repeated measures: A relative efficiency evaluation. Communication in Statistics: Theory and Methods, 20, 1233-1255.
4. Boik, R. J. (1993). The analysis of two-factor interactions in fixed effects linear models. Journal of Educational Statistics, 18, 1-40.
5. Bradley, J. V. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31, 144-152.
6. Brown, M. B., & Forsyth, A. B. (1974). The small sample behavior of some statistics which test the equality of several means. Technometrics, 16, 129-132.
7. Cohen, J. (1988). Statistical power analysis for the behavioral sciences, 2nd ed. Hillsdale, NJ: Erlbaum.
8. Elliott, R. S., & Barcikowski, R. S. (1994). Simultaneous test procedures in exploratory multivariate analysis of variance. American Educational Research Association Conference (1994, New Orleans, Louisiana).
9. Fleishman, A. I. (1978). A method for simulating non-normal distributions. Psychometrika, 43, 521-532.
10. Johansen, S. (1980). The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression. Biometrika, 67, 85-92.
11. Hochberg, Y. (1988). A sharper Bonferroni procedure for multiple tests of significance. Biometrika, 75, 800-802.
12. Hotelling, H. (1931). The generalization of student's ratio. Annals of Mathematical Statistics, 2, 360-378.
13. Huberty, C. J. (1994). Applied discriminant analysis. New York: John Wiley.
14. Huberty, C. J., Chou, T. F., & Benitez, E. B. (1994). The study of multivariate group contrasts. Advances in Social Science Methodology, 3, 123-138.
15. Keselman, H. J., & Lix, L. M. (1997). Analyzing multivariate repeated measures designs when covariance matrices are heterogeneous. British Journal of Mathematical and Statistical Psychology, 50, 319-338.
16. Keselman, H. J., Lix, L. M., & Kowalchuk, R. K. (1998). Multiple comparison procedures for trimmed means. Psychological Methods, 3, 123-141.
17. Keselman, H. J., Kowalchuk, R. K., Algina, J., Lix, L. M., & Wilcox, R. R. (2000). Testing treatment effects in repeated measures designs: Trimmed means and bootstrapping. British Journal of Mathematical and Statistical Psychology, 53, 175-191.
18. Keselman, H. J., Wilcox, R. R., & Lix, L. M. (2003). A generally robust approach to hypothesis testing in independent and correlated groups designs. Psychophysiology, 40, 586-596.
19. Krishnaiah, P. R., & Reising, J. M. (1985). Multivariate multiple comparisons. In D. L. Banks, C. B. Read, & S. Kotz (Eds.), Encyclopedia of Statistical Sciences, 6, 88-95. New York: Wiley & Sons.
20. Lix, L. M., Algina, J., & Keselman, H. J. (2003). Analyzing multivariate repeated measures designs: A comparison of two approximate degrees of freedom procedures. Multivariate Behavioral Research, 38, 403-431.
21. Lix, L. M., & Keselman, H. J. (1995). Approximate degrees of freedom tests: A unified perspective on testing for mean equality. Psychological Bulletin, 117, 547-560.
22. Lix, L. M., Keselman, H. J., & Hinds, A. (in press). A comparison of procedures for the multivariate Behrens-Fisher problem. Computer Methods and Programs in Biomedicine.
23. Micceri, T. (1989). The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin, 105, 154-166.
24. SAS Institute Inc. (1999a). SAS/IML software, Usage and reference, version 8. Cary, NC: Author.
25. SAS Institute Inc. (1999b). SAS language reference: Dictionary, version 8. Cary, NC: Author.
26. Sheehan-Holt, J. K. (1998). MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts. Educational and Psychological Measurement, 58, 861-881.
27. Tamhane, A. C., & Dunnett, C. W. (1999). Stepwise multiple test procedures with biometric applications. Journal of Statistical Planning and Inference, 82, 55-68.
28. Thomas, D. R. (1983). Univariate repeated measures techniques applied to multivariate data. Psychometrika, 48, 451-464.
29. Timm, N. H. (2002). Applied multivariate analysis. New York: Springer.
30. Vale, C. D., & Maurelli, V. A. (1983). Simulating multivariate nonnormal distributions. Psychometrika, 48, 451-464.
31. Vallejo, G., Fidalgo, A., & Fernandez, P. (2001). Effects of covariance heterogeneity on three procedures for analyzing multivariate repeated measures designs. Multivariate Behavioral Research, 36, 1-27.
32. Wilcox, R. R. (1995a). ANOVA: A paradigm for low power and misleading measures of effect size? Review of Educational Research, 65, 51-77.
33. Wilcox, R. R. (1995b). Simulation results on solutions to the multivariate Behrens-Fisher problem via trimmed means. The Statistician, 44, 213-225.