The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Generation of Linear Trend-free block designs

선형추세무관 블록계획법의 생성

  • 박동권 ((220-710) 강원도 원주시 홍업면 매지리 234, 연세대학교 통계학과) ;
  • 김형문 (서울시 연세대학교 상경대학 응용통계학과 석사과정 졸업)
  • Published : 1997.03.01
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Abstract

Randomization of the run order within a block is a technique commonly employed by the experimenters of block designs to avoid biases in the estimates of the effects of interest. In practice, however the experimental responses are sometimes affected by the spatial or temporal position of the experimental units within a block. In such cases, it is preferable to use a systematic ordering of the treatments. It is often possible to find an ordering which will allow the estimation of treatment effects independently of any trend is known as a trend-free block designs. In many idustrial and agricultural experiments, treatments are applied to experimental units sequentially in time or space. This paper begins with a review of concepts and properties of trend-free designs. We, then devise algorithms to generate linear trend-free designs. We extend and modify the existing algorithm which is given by Bradley and Odeh(1988). Also, the algorithm which generate all possible linear trend-free designs in provided.

많은 산업체나 농업 현장에서 실험이 행해질 때 블록내 실험단위에서의 처리가 시간적 또는 공간적으로 제약을 받는 경우가 빈번히 발생하게 되는데 이러한 경우 처리는 확률화에 따르기보다는 조직적인 순서에 따라 행해지게 된다. 이때 처리 효과가 블록내에서 나타날 수 있는 시간적 또는 공간적 추세에 독립적으로 추정되도록 순서가 설계된 실험계획을 추세무관 블록계획이라 부른다. 본 논문에서는 먼저 추세무관 블록계획의 성질을 살펴 그 필요성에 관해 약술하고 다음으로 선형추세무관 블록계획의 생성을 위한 두 알고리즘을 소개한다. 하나는 Bradley와 Odeh(1988)에 의해 고안된 알고리즘을 보완하였고, 다음은 존재하는 모든 가능한 계획을 발생시키는 알고리즘을 제시하였다.

Keywords

References

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