Some suggestions about appropriate use of the Kruskal-Wallis test

Animal Behaviour

Volumn 76, Issue 3, 2008, Pages 1083-1087

  Ruxton, Graeme D ^a   Beauchamp, Guy ^b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

analysis of variance; ANOVA; heteroscedasticity; nonparametric; robust testing; stochastic homogeneity

Indexed keywords

HOMOGENEITY; STOCHASTICITY; TESTING METHOD; VARIANCE ANALYSIS;

EID: 49149083464     PISSN: 00033472     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anbehav.2008.04.011     Document Type: Note

References (22)

1. Alexander R.A., and Govern D.M. A new and simpler approximation for ANOVA under variance heterogeneity. Journal of Educational Statistics 19 (1994) 91-101
2. Beauchamp G., and McNeil R. Vigilance in greater flamingos foraging at night. Ethology 109 (2003) 511-520
3. Brunner E., Dette H., and Munk A. Box-type approximations in non-parametric factorial designs. Journal of the American Statistical Association 92 (1997) 1494-1502
4. Buning H. Robustness and power of parametric, non-parametric, robustified and adaptive tests: the multi-sample location problem. Statistical Papers 41 (2000) 381-407
5. Coombs W.T., Algina J., and Oltman D.O. Univariate and multivariate omnibus hypothesis tests selected to control type 1 error rates when population variances are not necessarily equal. Review of Educational Research 66 (1996) 137-179
6. Dawkins M. Observing Animal Behaviour (2007), Oxford University Press, Oxford
7. Day R.W., and Quinn G.P. Comparison of treatments after an analysis of variance in ecology. Ecological Monographs 59 (1989) 433-463
8. Higgins J.J. Introduction to Modern Non-parametric Statistics (2004), Duxbury Press, Belmont
9. Julious S.A. Why do we use pooled variance analysis of variance?. Pharmaceutical Statistics 4 (2005) 3-5
10. Kasuya E. Mann-Whitney U test when variances are unequal. Animal Behaviour 61 (2001) 1247-1249
11. Mood A.M. An Introduction to the Theory of Statistics (1950), McGraw Hill, New York
12. Oshima T.C., and Algina J. Type I error rates for the James's second order test and Wilcox's H test under heteroscedasticity and non-normality. British Journal of Mathematical and Statistical Psychology 45 (1992) 255-263
13. Reiczigel J., Land Z., Rozsa L., and Tothmerez B. Measures of sociality: two different views of group size. Animal Behaviour 75 (2008) 715-721
14. Rust S.W., and Fligner M.A. A modification of the Kruskal-Wallis statistics for the generalized Behrens-Fisher problem. Communications in Statistics. Part A: Theory and Methods 13 (1984) 2013-2027
15. Ruxton G.D., and Beauchamp G. Time for some a priori thinking about post hoc testing. Behavioral Ecology 19 (2008) 690-693
16. Siegel S., and Castellan N.J. Non-parametric Statistics for the Behavioral Sciences (1988), McGraw Hill, New York
17. Sokal R.R., and Rohlf F.J. Biometry. 3rd edn (1995), W. H. Freeman, New York
18. Tomarken A.J., and Serlin R.C. Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structures. Psychological Bulletin 99 (1986) 90-99
19. Vargha A., and Delaney H.D. The Kruskal-Wallis test and stochastic homogeneity. Journal of Educational and Behavioral Statistics 23 (1998) 170-192
20. Wilcox R.R. Applying Contemporary Statistical Techniques (2003), Elsevier, San Diego
21. Wilcox R.R. Introduction to Robust Estimation and Hypothesis Testing. 2nd edn (2005), Elsevier, San Diego
22. Zar J.H. Biostatistical Analysis. 3rd edn (1999), Prentice-Hall, New York