Analysis of Levene's Test under Design Imbalance

Journal of Educational and Behavioral Statistics

Volumn 22, Issue 2, 1997, Pages 227-236

  Keyes, Tim K ^a   Levy, Martin S ^b  

^a GENERAL ELECTRIC COMPANY   (United States)

^b UNIVERSITY OF CINCINNATI   (United States)

Author keywords

ANOVA; Expected mean squares; Heteroscedasticity; Leverage, power; Unbalanced designs

Indexed keywords

EID: 0031483849     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/10769986022002227     Document Type: Article

References (13)

1. Brown, M. B., Engelman, L., & Jennrich, R. I. (1990). BMDP statistical software manual (Vol. 1). Los Angeles: University of California Press.
2. Brown, M. B., & Forsythe, A. B. (1974). Robust tests for equality of variances. Journal of the American Statistical Association, 69, 364-367.
3. Carroll, R. J., & Schneider, H. (1985). A note on Levene's test for equality of variances. Statistics & Probability Letters, 3, 191-194.
4. Conover, W. J., Johnson, M. E., & Johnson, M. M. (1981). A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics, 23, 351-361.
5. Keyes, T. K., & Levy, M. L. (1994). Three analyses of Levene's test under design imbalance (Working Paper QA-1994-004). Cincinnati, OH: University of Cincinnati, Department of Quantitative Analysis.
6. Levene, H. (1960). Robust tests for equality of variances. In I. Olkin et al. (Eds.), Contributions to probability and statistics: Essays in honor of Harold Hotelling (pp. 278-292). Stanford, CA: Stanford University Press.
7. Loh, W. (1987). Some modifications of Levene's test of variance homogeneity. Journal of Statistical Computation and Simulation, 28, 213-226.
8. Miller, R. G. (1968). Jacknifing variances. The Annals of Mathematical Statistics, 39, 567-582.
9. Milliken, G., & Johnson, D. (1984). Analysis of messy data: Volume I. Designed experiments. New York: Van Nostrand Reinhold.
10. MINITAB Inc. (1995). MINITAB reference manual, Release 10 for Windows. State College, PA: Author.
11. O'Brien, R. G. (1978). Robust techniques for testing heterogeneity of variance effects in factorial designs. Psychometrika, 43, 327-342.
12. O'Brien, R. G. (1979). A general ANOVA method for robust tests of additive models for variances. Journal of the American Statistical Association, 74, 877-880.
13. Yitnosumarto, S., & O'Neill, M. E. (1986). On Levene's tests of variance homogeneity. Australian Journal of Statistics, 28, 230-241.