Nonparametric tests of differences in medians: Comparison of the Wilcoxon-Mann-Whitney and robust rank-order tests

Experimental Economics

Volumn 6, Issue 3, 2003, Pages 273-297

  Feltovich, Nick ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

Critical values; Hypothesis testing; Power; Robust rank order; Wilcoxon Mann Whitney

Indexed keywords

EID: 3843079665     PISSN: 13864157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026273319211     Document Type: Article

References (13)

1. Boos, D.D. and Brownie, C. (1988). "Bootstrap p-Values for Tests of Nonparametric Hypotheses." Institute of Statistics Mimeo Series No. 1919, North Carolina State University.
2. Cohen, J. (1969). Statistical Power Analysis for the Behavioral Sciences. New York and London: Academic Press.
3. Duffy, J. and Feltovich, N. (1999). "Does Observation of Others Affect Learning in Strategic Environments? An Experimental Study." International Journal of Game Theory. 28, 131-152.
4. Feltovich, N. (2003). "Critical Values for the Robust Rank-Order Test." Working paper, University of Houston. Available at www.uh.edu/~nfelt/papers/rrovals.pdf
5. Fligner, M.A. and Pollicello, G.E. III. (1981). "Robust Rank Procedures for the Behrens-Fisher Problem." Journal of the American Statistical Association. 76, 162-168.
6. Mann, H.B. and Whitney, D.R. (1947). "On a Test of Whether One of Two Random Variables is Stochastically Larger Than the Other." Journal of Statistical Computing and Simulation. 13, 41-48.
7. Siegel, S. and Castellan, N.J., Jr. (1988). Nonparametric Statistics for the Behavioral Sciences. New York: McGraw-Hill.
8. Tatsuoka, M. (1993). "Effect Size." In G. Keren and C. Lewis (eds.), A Handbook for Data Analysis in the Behavioral Sciences: Methodological Issues. Hillsdale, NJ: Erlbaum, pp. 461-479.
9. Wilcoxon, F. (1945). "Individual Comparisons by Ranking Methods." Biometrics. 3, 119-122.
10. Zimmerman, D.W. (1987). "Comparative Power of Student T Test and Mann-Whitney U Test for Unequal Sample Sizes and Variances." Journal of Experimental Education. 55, 171-174.
11. Zimmerman, D.W. and Zumbo, B.D. (1993a). "Rank Transformations and the Power of the Student t Test and Welch t test for non-normal populations with unequal variances." Canadian Journal of Experimental Psychology. 47, 523-539.
12. Zimmerman, D.W. and Zumbo, B.D. (1993b). "The Relative Power of Parametric and Nonparametric Statistical Methods." In G. Keren and C. Lewis (eds.), A Handbook for Data Analysis in the Behavioral Sciences: Methodological Issues. Hillsdale, NJ: Erlbaum, pp. 481-517.
13. Zumbo, B.D. and Coulombe, D. (1997). "Investigation of the Robust Rank-Order Test for Non-Normal Populations with Unequal Variances: The Case of Reaction Time." Canadian Journal of Experimental Psychology. 51, 139-149.