• Communications for Statistical Applications and Methods
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• 제8권1호
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• pp.65-71
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• 2001

In this paper, optimal block designs for complete diallel crosses are proposed. These optimal block designs are constructed by using triangular partially balanced incomplete designs derived from symmetric balanced incomplete block designs. Also, it is shown that block designs for complete dialle crosses derived from complementary designs of triangular designs are optimal block designs.

• Communications for Statistical Applications and Methods
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• 제8권3호
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• pp.677-683
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• 2001

In this paper, optimal block designs for complete diallel crosses are proposed. These optimal block designs for estimating general combining abilities are constructed by using balanced incomplete block designs and nested balanced incomplete block designs. Also, the efficiency of the optimal block design obtained through this method is reported in table.

• 응용통계연구
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• 제15권2호
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• pp.367-379
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• 2002

본 연구에서는 부분이면교배에서 p개의 근교계통의 일반조합능력을 비교하기 위한 불완비 블록계획을 구성하는 방법을 제시한다. 부분이면 블록계획은 블록의 크기가 2 이면서 m개의 동반분류를 갖는 부분 균형 불완비 블록계획과균형 불완비 블록계획을 이용하여 구성한다. 또한, p $\leq$ 24일 때 이러한 방법으로 구성되는 블록계획의 효율성을 표로 제시한다.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2001년도 추계학술발표회 논문집
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• pp.121-124
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• 2001

In this paper, partial diallel crosses designs are proposed. These designs for estimating general combining abilities are constructed by using m-associate class partially balanced incomplete block designs. Also, the efficiency of the partially diallel crosses designs obtained through this method is reported in table.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.105-125
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• 2005

Motivated by the field experimental designs in agriculture, the theory of block designs has been applied to several areas such as statistics, combinatorics, communication networks, distributed systems, cryptography, etc. An explicit formula and its fast computational algorithm for a class of symmetric balanced incomplete block designs are presented. Based on the formula and the careful investigation of the modulus multiplication table, the algorithm is developed. The computational costs of the algorithm is superior to those of the conventional ones.

• Communications for Statistical Applications and Methods
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• 제9권2호
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• pp.443-450
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• 2002

In this paper, block designs for control versus test comparisons among the lines for diallel crosses are proposed. These block designs are constructed by using balanced incomplete block designs. Also, the efficiencies of the diallel crosses block designs obtained through this method are tabulated for number of lines 23 or less.

• Communications for Statistical Applications and Methods
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• 제9권2호
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• pp.435-441
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• 2002

In this paper, orthogonal block designs for partial diallel crosses are proposed. These partial diallel crosses block designs for estimating general combining abilities are constructed by using $\alpha$-resolvable partially balanced incomplete block designs. Also, the efficiencies of the partial diallel crosses block designs obtained through this method are reported in table.

• Journal of the Korean Statistical Society
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• 제14권1호
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• pp.29-38
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• 1985

Cyclic Factorial Association Scheme (CFAS) for incomplete block designs in a factorial experiment is defined. It is a generalization of EGD/($2^n-1$)-PBIB designs defined by Hinkelmann (1964) or Binary Number Association Scheme (BNAS) named by Paik and Federer (1973). A property of PBIB designs having CFAS is investigated and it is shown that the structural matrix NN' of such designs has a pattern of multi-nested block circulant matrix. The generalized inverse of (rI-NN'/k) is obtained. Generalized Cyclic incomplete block designs for factorial experiments introduced by John (1973) are presented as the examples of CFAS-PBIB designs. Finally, the relationship between CFAS and BNAS in block designs is briefly discussed.

• 응용통계연구
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• 제24권4호
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• pp.647-656
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• 2011

발생행렬은 블완비블럭계획법을 나타내는 좋은 도구이나 우리가 발생행렬을 이용하여 관심의 대상인 블완비블럭계획법이 균형불완비블럭계획법이 되는 지를 알기는 충분하지 않다. 그래서 필요한 수단이 구조행렬이다. 불완비블럭계획법을 평가하기 위한 또 다른 수단으로서 우리는 확장발생행렬과 ${\lambda}$행렬을 제안할 수 있다. 확장발생행렬과 ${\lambda}$행렬을 통하여 우리는 관심의 대상인 블완비블럭계획법이 균형불완비블럭계획법이 되는 지를 명확히 밝힐 수가 있고, 그 패턴도 상세히 파악할 수 있게 된다.

• Journal of the Korean Statistical Society
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• 제36권3호
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• pp.373-386
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• 2007

In this paper, a review on second order slope rotatable designs (SOSRD) is studied. Further, different methods of constructions of SOSRD like slope rotatable central composite designs (SRCCD), SOSRD using balanced incomplete block designs (BIBD), SOSRD using pairwise balanced designs (PBD), SOSRD using partially balanced incomplete block type designs (PBIBD) and SOSRD using symmetrical unequal block arrangements (SUBA) with two unequal block sizes are examined in detail. A table is provided where for a range of different values of v (v stands for number of factors) the design points needed by different methods are compared. The optimum SOSRD with minimum number of design points for each factor is suggested for $2{\leq}v{\leq}16$.