Communications for Statistical Applications and Methods

  • 제10권2호
  • /
  • Pages.535-543
  • /
  • 2003
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지
DOI QR코드

DOI QR Code

Ranked-Set Sample Wilcoxon Signed Rank Test For Quantiles Under Equal Allocation

  • Kim, Dong Hee (Department of Statistics, Pusan National University) ;
  • Kim, Hyun Gee (Department of Statistics, Pusan National University)
  • 발행 : 2003.08.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

A ranked set sample version of the sign test is proposed for testing hypotheses concerning the quantiles of a population characteristic by Kaur, et. al(2002). In this paper, we proposed the ranked set sample Wilcoxon signed rank test for quantiles under equal allocation. We obtain the asymptotic property and the asymptotic relative efficiencies of the proposed test statistic with respect to Wilcoxon signed rank test of simple random sample for quantiles under equal allocation. We calculate the ARE of test statistics, the proposed test statistic is more efficient than simple random sampling for all quantiles. The relative advantage of ranked set sampling is greatest at the median and tapers off in the tails.

키워드

참고문헌

  1. Journal of the American Statistical Association v.87 no.418 Nonparametric two-sample procedures for ranked-set samples data Bohn,L.L.;Wolfe,D.A. https://doi.org/10.2307/2290290
  2. Journal of the American Statistical Association v.89 no.425 The effect of imperfect judgement rankings on properties of procedures based on the ranked-set samples analog of Mann-Whitney-Wilcoxon statistic Bohn,L.L.;Wolfe,D.A. https://doi.org/10.2307/2291213
  3. Biometrics v.28 Ranked-set sampling theory with order statistics background Dell,T.R.;Clutter,J.L. https://doi.org/10.2307/2556166
  4. Journal of the Nonparametric Statistics v.4 The ranked-set sample sign test Hettmansperger,T.P. https://doi.org/10.1080/10485259508832618
  5. Journal of Statistical Planning and Inference v.100 Ranked set sample sign test for quantiles Kaur,A.;Patil,G.P.;Taillie,C.;Wit,J. https://doi.org/10.1016/S0378-3758(01)00144-6
  6. The Korean Journal of Computational and Applied Mathematics v.3 no.2 Wilcoxon signed rank test using ranked-set sample Kim,D.H.;Kim,Y.C.
  7. Communications in Statistics-Theory and Methods v.25 no.7 Sign test for ranked-set sampling Koti,K.M.;Babu,G.J. https://doi.org/10.1080/03610929608831789
  8. Australian Journal of Agricultural Research v.3 A method of unbiased selective sampling using ranked sets McIntyre,G.A. https://doi.org/10.1071/AR9520385
  9. Communications in Statistics-Theory and Methods v.28 no.5 One- and two-sample sign tests for ranked set sample selective designs Oztruk,O. https://doi.org/10.1080/03610929908832354
  10. Journal of Nonparametric Statistics v.10 Two-sample inference based on one-sample ranked set sample sign statistics Oztruk,O. https://doi.org/10.1080/10485259908832760
  11. Biometrics v.36 Estimation of variance using judgement ordered ranked-set samples Stokes,S.L. https://doi.org/10.2307/2530493
  12. Annals of the Institute of Statistical Mathematics v.20 On unbiased estimates of the population mean based on the sample stratified by means of ordering Takahasi,K.;Wakimoto,K. https://doi.org/10.1007/BF02911622