Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Design of Block Complete Diallel Crosses using Dual Design of Blanced Incomplet Block Design

균형된 불완비 블록계획의 쌍대계획을 이용한 완전이면교배의 블록화

  • Kim, Jin (Information and Telecommunication Research Institute, Chonnam National University) ;
  • Bae, Jong-Sung (Dept. of Statistics, Chonnam National University)
  • 김진 (전남대학교 정보통신연구소) ;
  • 배종성 (전남대학교 자연과학대학 통계학과)
  • Published : 2000.10.31
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Abstract

Usually, partailly balanced incomplete block design have been used a parametric design that make blocks of complete diallel cross. For that we use triangular PBIBD as parametric design, we have to find triangular PBIBD with corresponding parameters. Using the theorem that dual design of balanced incomplete block design with special parameters becomes triangular PBIBD, we can design block complete diallel cross without finding new triangular PBIBD. In this paper, we provided the plan and design satisfying such block complete diallel crosses.

완전이면교배를 블록화하는 매개디자인으로는 일반적으로 부분적으로 균형된 불완비 블록계획을 사용한다. 이때 블록화하는 매개디자인으로 삼각형 PBIBD를 사용하기 위해서는 대응되는 모수를 갖는 삼각형 PBIBD를 찾아야 한다. 특정한 모수를 갖는 균형된 불완비 블록계획의 쌍대계획이 삼각형 PBIBD가 되는 성질을 이용하면 삼각형 PBIBD를 새로 찾아야 하는 번거로움 없이 블록 완전이면교배를 설계할 수 있다. 이를 만족하는 블록 완전이면교배를 설계하는 방법과 디자인을 제시하였다.

Keywords

References

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