Comparing means from nonnormal distributions: The bisquare-weighted analysis of variance

Behavior Research Methods, Instruments, and Computers

Volumn 30, Issue 4, 1998, Pages 707-712

  Regeth, Rebecca Anne ^a,b   Stine, W Wren ^a  

^a UNIVERSITY OF NEW HAMPSHIRE   (United States)

^b STEPHEN F AUSTIN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2042452417     PISSN: 07433808     EISSN: None     Source Type: Journal    
DOI: 10.3758/BF03209490     Document Type: Article

References (22)

1. ANDERSON, N. H. (1961). Scales and statistics: Parametric and nonparametric. Psychological Bulletin, 58, 305-316.
2. BLAIR, R. C. (1981). A reaction to "Consequences of failure to meet assumptions underlying the fixed effects analysis of variance and covariance." Review of Educational Research, 51, 499-507.
3. BLAIR, R. C., & HIGGINS, J. J. (1980). A comparison of the power of Wilcoxon's rank-sum statistic to that of Student's t statistic under various non-normal distributions. Journal of Educational Statistics, 5, 309-335.
4. BONEAU, C. A. (1962). A comparison of the power of the U and t tests. Psychological Review, 69, 246-256.
5. CONOVER, W. J., & IMAN, R. L. (1981). Rank transformations as a bridge between parametric and nonparametric statistics. American Statistician, 35, 124-129.
6. GAMES, P. A. (1983). Curvilinear transformations of the dependent variable. Psychological Bulletin, 93, 382-387.
7. GAMES, P. A. (1984). Data transformations, power, and skew: A rebuttal to Levine and Dunlap. Psychological Bulletin, 95, 345-347.
8. GAMES, P. A., & LUCAS, P. A. (1966). Power and the analysis of variance of independent groups on nonnormal and normally transformed data. Educational & Psychological Measurement, 16, 311-327.
9. GRUBBS, F. E. (1969). Procedures for detecting outlying observations in samples. Technometrics, 11, 1-21.
10. HAMPEL, F. R., RONCHETTI, E. M., ROUSSEEUW, P. J., & STAHEL, W. A. (1986). Robust statistics: The approach based on influence functions. New York: Wiley.
11. KIRK, R. E. (1995). Experimental design: Procedures for the behavioral sciences (3rd ed.). Pacific Grove, CA: Brooks/Cole.
12. LEVINE, D. W., & DUNLAP, W. P. (1982). Power of the F test with skewed data: Should one transform or not? Psychological Bulletin, 92, 272-280.
13. LEVINE, D. W., & DUNLAP, W. P. (1983). Data transformation, power, and skew: A rejoinder to Games. Psychological Bulletin, 93, 596-599.
14. MICCERI, T. (1989). The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin, 105, 156-166.
15. MOSTELLER, F., & TUKEY, J. W. (1977). Data analysis and regression: A second course in statistics. Reading, MA: Addison-Wesley.
16. REGETH, R. A., & STINE, W. W. (1993, February). Robust ANOVAs with contaminated normal distributions. Paper presented at the 1993 Annual Meeting of the American Association for the Advancement of Science, Boston.
17. REGETH, R. A., & STINE, W. W. (1996). The bisquare weighted analysis of variance: A technique for nonnormal distributions. In D. E. Ewing & W. E. Stinson (Eds.), Proceedings of the ninth annual northeast SAS users group conference (pp. 677-685). Boston: MA: Northeast SAS Users Group.
18. ROUSSEEUW, P. J., & LEROV, A. M. (1987). Robust regression and outlier detection. New York: Wiley.
19. SAWILOWSKY, S. S., BLAIR, R. C., & HIGGINS, J. J. (1989). An investigation of the Type I error and power properties of the rank transform procedure in factorial ANOVA. Journal of Educational Statistics, 14, 255-267.
20. STIGLER, S. M. (1977). Do robust estimators work with real data? Annals of Statistics, 5, 1055-1078.
21. TABACHNICK, B. G., & FIDELL, L. S. (1989). Using multivariate statistics (2nd ed.). Northridge, CA: Harper Collins.
22. WALBERG, H. J., STRYKOWSKI, B. F., ROVAI, E., & HUNG, S. S. (1984). Exceptional performance. Reviv of Educational Research, 54, 87-112.