Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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DISTRIBUTiON-FREE TWO-SAMPLE TEST ON RANKED-SET SAMPLES

  • Published : 1998.04.01
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Abstract

In this paper, we propose the two-sample test statistic using Wilcoxon signed rank test on ranked-set sampling(RSS) and obtain the asymptotic relative efficiencies(ARE) of the proposed test statistic with respect to Mann-Whitney-Wilcoxon statistic on simple random sampling(SRS), the Mann-Whitney-Wilcoxon statistic on RSS, sign statistic on RSS and Wilcoxon signed rank test on SRS. From the simulation works, we compare the powers of the proposed test statistic, Mann-Whitney-Wilcoxon statistic on RSS, the usual two-sample t statistic, sign statistic on RSS, where the underlying distributions are uniform, normal, double exponential, logistic and Cauchy distributions.

Keywords

References

  1. Communications in Statistics - Theory and Methods v.V25 A review of nonparametric ranked-set sampling methodology L.L. Bohn
  2. Journal of the American Statistical Association v.V87 no.418 Nonparametric two-sample procedures for ranked-set samples data L.L. Bohn;D.A. Wolfe
  3. Journal of the American Statistical Association v.V89 no.425 The effect of imperfect judgement rankings on properties of procedures based on the ranked-set samples analog of Mann-Whitney-Wilcoxon statistic L.L. Bohn;D.A. Wolfe
  4. Biometrics v.V28 Ranked-set sampling theory with order statistics background T.R. Dell;J.L. Clutter
  5. Journal of the Nonparametric Statistics v.V4 The ranked-set sample sign test T.P. Hettmansperger
  6. The Korean Journal of Computational and Applied Mathematics Two-sample comparison using sign test on ranked-set samples D.H. Kim;Y.C. Kim
  7. Journal of Statistical Planning and Inference v.V36 On the inadmissibility of empirical averages as estimators in ranked-set sampling P.H. Kvam;F.J. Samaniego
  8. Journal of the American Statistical Association v.V89 Nonparametric maximum likelihood estimation based on ranked-set sampling P.H. Kvam;F.J. Samaniego
  9. Australian Journal of Agricultural Research v.V3 A method of unbiased selective sampling using ranked sets G.A. McIntyre
  10. Introduction to the theory of nonparametric statistics R.H. Randles;D.A. Wolfe
  11. Journal of the American Statistical Association v.V83 Characterization of a ranked-set sample with application to estimating distribution function S.L. Stokes;Sager