Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Nonparametric procedures using aligned method and joint placement in randomized block design

랜덤화 블록 계획법에서 정렬방법과 결합 위치를 이용한 비모수 검정법

  • Jo, Sungdong (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • 조성동 (가톨릭대학교 의학통계학과) ;
  • 김동재 (가톨릭대학교 의학통계학과)
  • Received : 2012.11.13
  • Accepted : 2013.01.07
  • Published : 2013.01.31
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Abstract

Nonparametric procedure in randomized block design (RBD) was proposed by Friedman (1937) for general alternatives. Also Page (1963) suggested the test for ordered alternatives in RBD. In this paper, we proposed the new nonparametric method in randomized block design using aligned method suggested by Hodges and Lehmann (1962) and the joint placement described in Chung and Kim (2007). Also, Monte Carlo simulation study was adapted to compare the power of the proposed procedure with those of previous procedure.

랜덤화 블록 모형에서 처리 간의 차이 유무를 검정하는 비모수 방법은 일반 대립가설에서는 Friedman (1937)이, 순서 대립가설에서는 Page (1963)가 제안한 검정법이 있다. 이 방법은 각 블록 내 처리 간의 순위를 이용하여 처리 간의 차이를 검정하는 검정법이다. 본 논문에서는 Hodges와 Lehmann (1962)의 정렬 방법과 Chung과 Kim (2007)이 제안한 결합위치 검정법을 확장하여 랜덤화 블록 모형에서 새로운 비모수적 방법을 제시하였다. 또한, 모의실험을 통하여 모수적 방법과 기존의 비모수적 방법과의 검정력을 비교하였다.

Keywords

References

  1. Chung, T, S, and Kim, D. (2007) Nonparametric method using placement in one-way layout. The Korean Communications in Statistics, 14, 551-560. https://doi.org/10.5351/CKSS.2007.14.3.551
  2. Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32, 675-701. https://doi.org/10.1080/01621459.1937.10503522
  3. Hodges, J. L. and Lehmann, E. L (1962). Rank methods for combination of independent experiments in analysis of variance. The Annals of Mathematical Statistics, 33, 482-497. https://doi.org/10.1214/aoms/1177704575
  4. Lee, S, and Kim, D. (2011) Nonparametric procedures using placement in randomized block design with replications. Journal of the Korean Data & Information Science Society, 22, 1105-112.
  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
  6. Page, E. B. (1963). Ordered hypotheses for multiple treatment : A signification test for linear ranks. Journal of the American Statistical Association, 58, 216-230. https://doi.org/10.1080/01621459.1963.10500843

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