Breakdown Points of Direction Tests

  • Park, Kyung-Mee (Department of Mathematics, College of Science and Technology, Hong Ik University, Chochiwon, Choongnam, 339-800)
  • Published : 1997.06.01

Abstract

We briefly review three Raleigh type location tests based on direction vectors, which have been shown to be efficient when the distribution is unknown, skewed, or heavy-tailed. Then we calculate their test breakdown points and discuss the robustness of Randles multivariate sign test for one-sample.

Keywords

References

  1. Annals of Statistics v.20 no.2 Multivariate location estimate using extension of R-Estimates through U-Statistics type approach Chaudhuri, P.
  2. Ph.D. Dissertation, University of Illinois at Urbana-Champaign Nonparametric Multivariate Multisample Tests for the Location Problem and Multivariate Regression Based on Directions of Data Choi, K.
  3. An accepted manuscript by Journal of American Statistical Association An approach to multivariate rank transform tests in multivariate analysis of variance Choi, K.;Marden, J. I.
  4. Journal of American Statistical Association v.85 Breakdown robustness of tests He, X.;Simpson, D. G.;Portnoy, S. L.
  5. Journal of Royal Statistical Society B v.56 Affine invariant multivariate multisample sign tests Hettmansperger, T. P.;Oja, H.
  6. Journal of Royal Statistical Society B v.56 Affine invariant multivariate one-sample sign tests Hettmansperger, T. P.;Nyblom, J.;Oja, H.
  7. Statistical Probability Letter v.10 The finite-sample breakdown point of the Oja bivariate median and of the corresponding halfsamples version Niinimaa, A.;Oja, H.;Tableman, M.
  8. Statistical Probability Letter v.1 Descriptive statistics for multivariate distributions Oja, H.
  9. Nonparametric Methods in Multivariate Analysis Puri, M. L.;Sen, P. K.
  10. Journal of American Statistical Association v.84 A distribution-free multivariate sign test based on interdirections Randles, R. H.
  11. International Statistical Review v.58 A Survey of Multidimensional medians Small, C. G.
  12. Statistics on Spheres Watson, G. S.
  13. Journal of American Statistical Association v.72 Test resistance Ylvisaker, D.