The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Nonparametric method in one-way layout based on joint placement

일원배치법에서 결합위치를 이용한 비모수 검정법

  • Jeon, Kyoung-Ah (Department of Biomedicine.Health Science, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biomedicine.Health Science, The Catholic University of Korea)
  • 전경아 (가톨릭대학교 의생명.건강과학과) ;
  • 김동재 (가톨릭대학교 의생명.건강과학과)
  • Received : 2016.04.06
  • Accepted : 2016.05.18
  • Published : 2016.06.30
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Abstract

Kruskal and Wallis (1952) proposed a nonparametric method to test the differences between more than three independent treatments. This procedure uses rank in mixed sample combined with more than three unlike populations. This paper proposes a the new procedure based on joint placements for a one-way layout as extension of the joint placements described in Chung and Kim (2007). A Monte Carlo simulation study is adapted to compare the power of the proposed method with previous methods.

독립된 세 개 이상의 처리 간에 차이 유무를 검정하는 비모수적 방법에는 Kruskal과 Wallis (1952)가 제안한 검정법이 있다. 세 개 이상의 다른 모집단으로부터 결합된 표본관측 값들의 순위를 이용한 검정기법이다. 본 논문에서는 Chung과 Kim (2007)이 제안한 결합위치 방법을 확장하여 일원배치모형에서 새로운 방법을 제안하였다. 또한 모의실험(Monte Calro simulation study)를 통하여 기존의 검정법과 제안한 방법의 검정력을 비교하였다.

Keywords

References

  1. Chung, T. and Kim, D. (2007). Nonparametric method using placement in one-way layout, The Korean Communications in Statistics, 14, 551-560.
  2. Hong, I. and Lee, S. (2014). Kruskal-Wallis one-way analysis of variance based on linear placements, Korean Mathematical Society, 51, 701-716. https://doi.org/10.4134/BKMS.2014.51.3.701
  3. Kim, D. (1999). A class of distribution-free treatments versus control tests based on placements, Far East Journal of Theoretical Statistics, 3, 19-33.
  4. Kruskal, W. H. and Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis, Journal of the American Statistical Association, 47, 583-621. https://doi.org/10.1080/01621459.1952.10483441
  5. Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placements, Journals of the American Statistical Association, 77, 666-671. https://doi.org/10.1080/01621459.1982.10477870