Power Analysis of Distributions between Nonparametric Tests

  • Published : 1998.08.01


This paper compares powers of the two nonparametric tests under a variety of population distributions through a simulation study. Both tests require that the two underlying populations have the same variance, but this assumption is relaxed in some of the comparisons.



  1. Annals of Mathematical Statistics v.25 Asymptotic Behavior of Some Rank Tests for Analysis of Variance Andrews, F.C.
  2. Evaluation Review v.4 no.5 The power of t and Wilcoxon statistics Blair, R.C.;Higgins, J.J.
  3. Pratical Nonparametric Statistics (2nd edition) Conover, W.J.
  4. Journal of the American Statistical Association v.73 A Note on the Small Sample Power Functions for Nonparametric Tests of Location in the Double Exponential Family Conover, W.J.;Wegmanen, O.;Ramsey, R.L.
  5. Applied Nonparametric Statistics(2nd edition) Daniel, W.W.
  6. Nonpapametric Statistical Inference Gibbons, J.D.
  7. Journal of Experimental Education Comparisons of the Mann-Whitney, Student's, and Alternate t Tests for Means of Normal Distribution Gibbons, J.D.;Chakraborti, S.
  8. Annals of Mathematical Statistics v.27 The Efficiency of Some Nonparametric Competiters of the t Test Hodges, J.L.;Legmann, E.L.
  9. Journal of American Statistical Association v.47 Use of Ranks in One-Criterion Variance Analysis Kruskal, W.H.;Wallis, W.A.
  10. Annals of Mathematical Statistics v.18 On a Test of Whether One of Two Random Variables is Stochastically Larger Than the Other Mann, H.B.;Whitney, D.R.
  11. Introduction to the Theory of Statistics Mood, A.M.
  12. Evaluation Review v.19 The Power of student's t and Wilcoxon w Statistics Rasmussen, J.L.
  13. Biometrics v.1 Individual Comparisons by Ranking Methods Wilcoxon, F.
  14. Journal of Experimental Education v.55 Comparative Power of Student t Test and Mann-Whitney U Test for Unequal Sample Sizes and Variances Zimmerman, D.W.