The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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A study on the structure of concordance matrices of Li type PBIB designs

$L_i$ 계획에서 조화행렬의 구조에 관한 연구

  • 배종성 ((500-757) 광주직할시 북구 용봉동 300 전남대학교 통계학과)
  • Published : 1994.09.01
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Abstract

A block design will be said to have Property C if the concordance matrix can be expressed as a linear combination of Kronecker product of permutation matrices. No matrix inversions are necessary for the intrablock analysis of the block designs which possesses the Property C(Paik, 1985). In this paper, in order to show the Li type PBIB designs possesses the Property C, we suggest the structure of the concordance matrices of Li type PBIB designs are multi-nested block circulant pattern.

블럭계획에서 조화행렬(concordance matrix)이 퍼뮤테이션 행렬(permutation matrix)들의 크로네커 곱(Kronecker product)의 선형결합으로 표시되면, 그러한 블럭 계획들은 특성치 C (Property C)를 갖고 특성치 C를 갖는 블럭계획들은 역행렬의 계산없이 블럭내 분석이 가능하다(Paik, 1985). $L_i$ 계획($L_i$ PBIB design)이 특성치 C에 속하는 것을 보이기 위하여, 조화행렬의 구조가 다중순환형식임을 보였다.

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References

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