The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Nonparametric Method for Ordered Alternative in Randomized Block Design

랜덤화 블록 계획법에서 순서대립가설에 대한 비모수검정법

  • Kang, Yuhyang (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • 강유향 (가톨릭대학교 의학통계학과) ;
  • 김동재 (가톨릭대학교 의학통계학과)
  • Received : 2013.10.15
  • Accepted : 2013.11.15
  • Published : 2014.02.28
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Abstract

A randomized block design is a method to apply a treatment into the experimental unit of each block after dividing into several blocks with a binded homogeneous experimental unit. Jonckheere (1964) and Terpstra (1952), Page (1963), Hollander (1967) proposed various methods of ordered alternative in randomized block design. Especially, Page (1963) test is a weighted combination of within block rank sums for ordered alternatives. In this paper, we suggest a new nonparametric method expanding the Page test for an ordered alternative. A Monte Carlo simulation study is also adapted to compare the power of the proposed methods with previous methods.

랜덤화 블록 계획법은 동질적인 실험단위를 묶어 여러 개의 블록으로 나눈 후, 각 블록의 실험단위에 처리를 적용하는 방법이다. 랜덤화 블록 계획법에서 Jonkckheere (1964)와 Terpstra (1952), Page (1963) 그리고 Hollander (1967) 등이 순서대립가설의 다양한 방법을 제안하였다. 특히, 블록 내 순위합의 가중치를 주는 방법으로 Page (1963) 검정법이 있다. 본 논문에서는 Page 검정을 확장하여 순서대립가설에 새로운 비모수적 방법론을 제안하였다. 또한, 몬테카를로 모의시험 연구를 통해 제안된 방법과 이전의 방법들의 검정력을 비교하였다.

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References

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