A note on homogeneity of variance of scores and ranks

Journal of Experimental Education

Volumn 64, Issue 4, 1996, Pages 351-362

  Zimmerman, Donald W ^a  

^a CARLETON UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030487549     PISSN: 00220973     EISSN: 19400683     Source Type: Journal    
DOI: 10.1080/00220973.1996.10806603     Document Type: Article

References (27)

1. Boik, R. S. (1987). The Fisher-Pitman permutation test: A non-robust alternative to normal-theory F when variances are heterogeneous. British Journal of Mathematical and Statistical Psychology, 40, 26-42.
2. Box, G. E. P. (1953). Non-normality and tests on variances. Biometrika, 40, 318-335.
3. Conover, W. J., & Iman, R. L. (1981). Rank transformations as a bridge between parametric and nonparametric statistics. The American Statistician, 35, 124-129.
4. Games, P. A., & Howell, J. F. (1976). Pairwise multiple comparison procedures with unequal n's and/or variance: A Monte Carlo study. Journal of Educational Statistics, 1, 113-125.
5. Glass, G., Peckham, P., & Sanders, J. (1972). Consequences of failure to meet assumptions underlying the fixed effects analysis of variance and covariance. Review of Educational Research, 42, 237-288.
6. Goldman, R. N., & Weinberg, J. S. (1985). Statistics: An introduction. Englewood Cliffs, NJ: Pren-tice-Hall.
7. Gravetter, F. J., & Wallnau, L. B. (1992). Statistics for the behavioral sciences (3rd ed.). St. Paul, MN: West.
8. Hettmansperger, T. P., & McKean, J. W. (1978). Statistical inference based on ranks. Psychometrika, 43, 69-79.
9. Hodges, J., & Lehmann, E. (1956). The efficiency of some nonparametric competitors of the t test. Annals of Mathematical Statistics, 27, 324-335.
10. Hollander, M., & Wolfe, D. A. (1973). Nonparametric statistical methods. New York: Wiley.
11. Hsu, P. (1938). Contributions to the theory of "Student's" t?test as applied to the problem of two samples. Statistical Research Memoirs, 2, 1-24.
12. Lehmann, E. L. (1975). Nonparametrics: Statistical methods based on ranks. San Francisco: Hold-en-Day.
13. Loether, H. J., & McTavish, D. G. (1993). Descriptive and inferential statistics (4th ed.). Boston: Allyn & Bacon.
14. Loftus, G. R., & Loftus, E. F. (1988). Essence of statistics (2nd ed.). Monterey, CA: Brooks-Cole.
15. Marascuilo, L. A., & Serlin, R. C. (1988). Statistical methods for the social and behavioral sciences. New York: Freeman.
16. Maxwell, S. E., & Delaney, H. D. (1990). Designing experiments and analyzing data: A modeI comparison perspective. Belmont, CA: Wadsworth.
17. Pagano, R. R. (1986). Understanding statistics in the behavioral sciences (2nd ed.). St. Paul, MN: West.
18. Posten, H. O. (1984). Robustness of the two-sample t test. In D. Rasch & M. L. Tiku (Eds.), Robustness of statistical methods and nonparametric statistics. Dordrecht, German Democratic Republic: D. Reidel.
19. Pratt, J. W. (1964). Robustness of some procedures for the two-sample location problem. Journal of the American Statistical Association, 59, 665-680.
20. Randles, R. H., & Wolfe, D. A. (1979). Introduction to the theory of nonparametric statistics. New York: Wiley.
21. Savage, I. R. (1962). Bibliography of nonparametric statistics. Cambridge, MA: Harvard University Press.
22. Sawilowsky, S., Blair, R. C., & Higgins, J. J. (1989). An investigation of Type I error and power properties of the rank transformation procedure in factorial ANOVA. Journal of Educational Statistics, 14, 255-267.
23. Scheffe, H. (1959). The analysis of variance. New York: Wiley.
24. Shavelson, R. J. (1988). Statistical reasoning for the behavioral sciences (2nd ed.). Needham Heights, MA: Allyn & Bacon.
25. Tomarken, A. J., & Serlin, R. C. (1986). Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structure?. Psychological Bulletin, 99, 90-99.
26. van der Waerden, B. L. (1952). Order tests forthe two sample problem and their power. Proceedings Koninklijke Nederlandse Akademie van Wetenschappen (A), 55 (Indagationes Mathematical 14), 453-458.
27. Zaremba, S. K. (1965). Note on the Wilcoxon-Mann-Whitney statistic. The Annals of Mathematical Statistics, 36, 1058-1060.