Nonparametric Test for Multivariate Location Translation Alternatives

  • Na, Jong-Hwa (Department of Statistics, Chungbuk National University)
  • Published : 2000.12.01


In this paper we propose a nonparametric one sided test for location parameters in p-variate(p$\geq$2) location translation model. The exact null distributions of test statistics are calculated by permutation principle in the case of relatively small sample sizes and the asymptotic distributions are also considered. The powers of various tests are compared through computer simulation and thep-values with real data are also suggested through example.


  1. Statistical Theory of Reliability and Life Testing, Probability models Barlow, R.E.;Proschan, F.
  2. Theor. Probability Appl. v.11 On the distribution of the number of admissible points in a vector random sample Barndorff Nielsen, O;Sobel, M.
  3. The Annals of Mathematical Statistics v.41 A layer rank test for ordered bivariate alternatives Bhattacharyya, G.K.;Johnson, R.A.
  4. Journal of American Statistical Association v.72 Nonparametric one-sided tests in multivariate analysis with medical applications Boyett, J.M.;Shuster, J.J.
  5. Calcutta Statistical Association Bulletin v.13 Non-parametric tests for the bivariate two-sample location problem Chatterjee, S.K.;Sen, P.K.
  6. Introduction to the Mx Graphical User Interface Neale, M.C.;Xie, G.;Hadady, W.M.;Boker, S.M.
  7. Handbook of Statistics Tables Owen, D.B.
  8. Nonparametric methods in multivariate analysis Puri, M.L.;Sen, P.K.
  9. Data Analysis Product Division S-Plus 4 Programmer's Guide
  10. Australian Journal of Statistics v.29 A one-sided rank test for multivariate censored data Wei, L.J.;Knuiman, M.W.