• Communications for Statistical Applications and Methods
• /
• 제8권1호
• /
• pp.65-71
• /
• 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
• /
• 제8권3호
• /
• pp.677-683
• /
• 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
• /
• 제15권2호
• /
• pp.367-379
• /
• 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
• /
• 한국통계학회 2001년도 추계학술발표회 논문집
• /
• pp.121-124
• /
• 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.

• Communications for Statistical Applications and Methods
• /
• 제9권3호
• /
• pp.733-741
• /
• 2002

A class of block designs for general combining ability comparisons within two groups of inbred lines in diallel crosses is given. These block designs are constructed by using balanced block designs obtained by cyclically developing a single initial block. Also, the efficiencies of block designs are tabulated for number of lines 26 or less.

• Communications for Statistical Applications and Methods
• /
• 제9권2호
• /
• pp.443-450
• /
• 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
• /
• 제9권2호
• /
• pp.435-441
• /
• 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 applied mathematics & informatics
• /
• 제19권1_2호
• /
• pp.105-125
• /
• 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.

• Journal of the Korean Statistical Society
• /
• 제36권3호
• /
• pp.373-386
• /
• 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 $2{\leq}v{\leq}16$.

• 한국통계학회:학술대회논문집
• /
• 한국통계학회 2002년도 춘계 학술발표회 논문집
• /
• pp.171-174
• /
• 2002

In this paper, diallel crosses block designs for control versus test comparisons among the lines are proposed. These designs are constructed by using partially balanced incomplete block designs with C-properties. Also, the efficiencies of the diallel crosses block designs obtained through this method are tabulated for number of lines 24 or less.