Comparing medians

Computational Statistics and Data Analysis

Volumn 51, Issue 3, 2006, Pages 1934-1943

  Wilcox, Rand R ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Bootstrap methods; Heteroscedasticity; Projection distances; Robust methods

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; NUMERICAL METHODS; PROBABILITY;

BOOTSTRAP METHODS; HETEROSCEDASTICITY; PROJECTION DISTANCES; ROBUST METHODS;

STATISTICAL METHODS;

EID: 33750700795     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2005.12.008     Document Type: Article

References (25)

1. Bonett D.G., and Price R.M. Statistical inference for a linear function of medians: confidence intervals, hypothesis testing, and sample size requirements. Psychol. Methods 7 (2002) 370-383
2. Davison A.C., and Hinkley D.V. Bootstrap Methods and Their Application (1997), Cambridge University Press, Cambridge, UK
3. Donoho D.L., and Gasko M. Breakdown properties of the location estimates based on halfspace depth and projected outlyingness. Ann. Stat. 20 (1992) 1803-1827
4. Fung K.Y. Small sample behaviour of some nonparametric multi-sample location tests in the presence of dispersion differences. Statist. Neerlandica 34 (1980) 189-196
5. Harrell F.E., and Davis C.E. A new distribution-free quantile estimator. Biometrika 69 (1982) 635-640
6. He X., Simpson D.G., and Portnoy S.L. Breakdown robustness of tests. J. Amer. Statist. Assoc. 85 (1990) 446-452
7. Hettmansperger T.P., and McKean J.W. Robust Nonparametric Statistical Methods (1998), Arnold, London
8. Hoaglin D.C. Summarizing shape numerically: the g-and-h distribution. In: Hoaglin D., Mosteller F., and Tukey J. (Eds). Exploring Data Tables Trends and Shapes (1985), Wiley, New York
9. Hochberg Y. A sharper Bonferroni procedure for multiple tests of significance. Biometrika 75 (1988) 800-802
10. Liu R.G., and Singh K. Notions of limiting p-values based on data depth and bootstrap. J. Amer. Statist. Assoc. 92 (1997) 266-277
11. Maritz J.S., and Jarrett R.G. A note on estimating the variance of the sample median. J. Amer. Statist. Assoc. 73 (1978) 194-196
12. McKean J.W., and Schrader R.M. A comparison of methods for studentizing the sample median. Comm. Statist. Simul. Comput. 13 (1984) 751-773
13. Pedersen W.C., Miller L.C., Putcha-Bhagavatula A.D., and Yang Y. Evolved sex differences in sexual strategies: the long and the short of it. Psychol. Sci. 13 (2002) 157-161
14. Potthoff, R.F., 1963. Use of the Wilcoxon statistics for a generalized Behrens-Fisher problem. Ann. Math. Statist. 34, 1596-1599.
15. Price R.M., and Bonett D.G. Estimating the variance of the median. J. Statist. Comput. Simulation 68 (2001) 295-305
16. Rom D.M. A sequentially rejective test procedure based on a modified Bonferroni inequality. Biometrika 77 (1990) 663-666
17. Romano J.P. On the behavior of randomization tests without a group invariance assumption. J. Amer. Statist. Assoc. 85 (1990) 686-692
18. Rousseeuw P.J., and Leroy A.M. Robust Regression and Outlier Detection (1987), Wiley, New York
19. Rousseeuw P.J., and van Zomeren B.C. Unmasking multivariate outliers and leverage points. J. Amer. Statist. Assoc. 85 (1990) 633-639
20. Schrader R.M., and Hettmansperger T.P. Robust analysis of variance. Biometrika 67 (1980) 93-101
21. Sen, P.K., 1962. On Studentized non-parametric multi-sample location tests. Ann. Inst. Statist. Math. 14, 119-131.
22. Wilcox R.R. Testing whether independent treatment groups have equal medians. Psychometrika 56 (1991) 381-396
23. Wilcox R.R. Pairwise comparisons of trimmed means for two or more groups. Psychometrika 66 (2001) 343-356
24. Wilcox R.R. Applying Contemporary Statistical Techniques Testing (2003), Academic Press, San Diego, CA
25. Wilcox R.R. Introduction to Robust Estimation and Hypothesis Testing. second ed (2005), Academic Press, San Diego, CA