MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts

Educational and Psychological Measurement

Volumn 58, Issue 6, 1998, Pages 861-881

  Sheehan Holt, Janet K ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032350750     PISSN: 00131644     EISSN: None     Source Type: Journal    
DOI: 10.1177/0013164498058006001     Document Type: Article

References (39)

1. Anderson, T. W. (1984). An introduction to multivariate statistical analysis (2nd ed.). New York: John Wiley.
2. Andrews, D. F., Bickel, P. J., Hampel, F. R., Huber, P. J., Rogers, W. H., & Tukey, J. W. (1972). Robust estimates of location: Survey and advances. Princeton, NJ: Princeton University Press.
3. Barcikowski, R. S., & Elliott, R. (1991, October). Exploratory multivariate analysis of variance: Contrasts and variables. Paper presented at the annual meeting of the Mid-Western Educational Research Association, Chicago. (ERIC Document Reproduction Service No. ED 339 716)
4. Barcikowski, R. S., & Robey, R. (1992). Type I error and the number of iterations in Monte Carlo studies of robustness. British Journal of Mathematical and Statistical Psychology, 45, 283-288.
5. Bartlett, M. S. (1939). A note on tests of significance in multivariate analysis. Proceedings of the Cambridge Philosophical Society, 35, 180-185.
6. Belli, G. M. (1989, March). Parameters in MANOVA robustness studies: Comparability to empirical research. Paper presented at the annual meeting of the American Educational Research Association, San Francisco. (ERIC Document Reproduction Service No. ED 308 240)
7. Bird, K. D., & Hadzi-Pavlovic, D. (1983). Simultaneous test procedures and the choice of a test statistic in MANOVA. Psychological Bulletin, 93, 167-178.
8. Bock, R. D. (1975). Multivariate statistical methods in behavioral research. New York: McGraw-Hill.
9. Bray, J. H., & Maxwell, S. E. (1985). Multivariate analysis of variance. Beverly Hills, CA: Sage.
10. Camasso, M. J., & Geismar, L. L. (1992). A multivariate approach to construct reliability and validity assessment: The case of family functioning. Social Work Research & Abstracts, 28, 16-26.
11. Catell, R. B. (1973). Personality and mood by questionnaire. San Francisco: Jossey-Bass.
12. Cohen, J. (1988). Statistical power analysisfor the behavioral sciences. Hillsdale, NJ: Lawrence Erlbaum.
13. Cronbach, L. J., Gleser, G. C., Nanda, H., & Rajaratnam, N. (1972). The dependability of behavioral measurements. New York: John Wiley.
14. Elliott, R. S. (1993). Contrast selection in post hoc multivariate analysis. Dissertation Abstracts International, 54, 1608A. (University Microfilms No. 95-36, 589)
15. Emmons, N. J., Stallings, W. M., & Layne, B. H. (1990, April). Statistical methods used in American Educational Research Journal, Journal of Educational Psychology, and Sociology of Education from 1972 through 1987. Paper presented at the annual meeting of the American Educational Research Association, Boston. (ERIC Document Reproduction Service No. ED 319 797)
16. Fish, L. (1988). Why multivariate methods are usually vital. Measurement and Evaluation in Counseling and Development, 21, 130-137.
17. Gabriel, K. R. (1968). Simultaneous test procedures in multivariate analysis of variance. Biometrika, 55, 489-504.
18. Grimm, L. G., & Yarnold, P. R. (Eds.). (1995). Reading and understanding multivariate statistics. Washington, DC: American Psychological Association.
19. Harris, R. J. (1985). A primer of multivariate statistics (2nd ed.). Orlando, FL: Academic Press.
20. Hotelling, H. (1931). The generalization of student's ratio. Annals of Mathematical Statistics, 2, 360-378.
21. Huberty, C. J., & Morris, J. D. (1989). Multivariate analysis versus multiple univariate analyses. Psychological Bulletin, 105, 302-308.
22. Jöreskog, K. G. (1971). Statistical analysis of sets of congeneric tests. Psychometrika, 36, 109-133.
23. Keppel, G. (1982). Design and analysis: A researcher's handbook (2nd ed.). Englewood Cliff, NJ: Prentice Hall.
24. Korin, B. P. (1969). On testing the equality of k covariance matrices. Biometrika, 56, 216-218.
25. Lawley, D. N. (1939). A generalization of Fisher's z test. Biometrika, 30, 180-187. (Corrections in Biometrika, 30, 467-469)
26. Lawley, D. N. (1939). A generalization of Fisher's z test. Biometrika, 30, 180-187. (Corrections in Biometrika, 30, 467-469)
27. Maxwell, S. E. (1992). Recent developments in MANOVA applications. In B. Thompson (Ed.), Advances in social science methodology (Vol. 2, pp. 137-168). Greenwich, CT: JAI.
28. Olson, C. L. (1974). Comparative robustness of six tests in multivariate analysis of variance. Journal of the American Statistical Association, 69, 894-908.
29. Olson, C. L. (1976). On choosing a test statistic in multivariate analysis of variance. Psychological Bulletin, 83, 579-586.
30. Pillai, K.C.S. (1955). Some new test criteria in multivariate analysis. Annals of Mathematical Statistics, 26, 117-121.
31. Roy, S. N. (1945). The individual sampling distribution of the maximum, the minimum, and any intermediate of the p-statistics on the null hypothesis. Sankhya, 7, 133-158.
32. Roy, S. N., & Bose, R. C. (1953). Simultaneous confidence interval estimation. Annals of Mathematical Statistics, 24, 513-536.
33. SAS Institute. (1990). SAS/IML user's guide (Version 6.04). Cary, NC: Author.
34. Schatzoff, M. (1966). Sensitivity comparisons among tests of the general linear hypothesis. Journal of the American Statistical Association, 61, 415-435.
35. Scheffé, H. (1959). The analysis of variance. New York: John Wiley.
36. Tatsuoka, M. M. (1988). Multivariate analysis (2nd ed.). New York: Macmillan.
37. Thompson, B. (1986, November). Two reasons why multivariate methods are usually vital. Paper presented at the annual meeting of the Mid-South Educational Research Association, Memphis, TN. (ERIC Document Reproduction Service No. ED 367 687)
38. Thompson, B. (1994, February). Why multivariate methods are usually vital in research: Some basic concepts. Paper presented as a featured speaker at the biennial meeting of the Southwestern Society for Research in Human Development, Austin, TX. (ERIC Document Reproduction Service No. ED 367 687)
39. Wilks, S. S. (1932). Certain generalizations in the analysis of variance. Biometrika, 24, 471-494.