• 응용통계연구
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• 제5권1호
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• pp.1-8
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• 1992

Partitioned matrices를 이용해, v = 2.2.2인 경우의 Hierarchical Group Divisible (HGD) design의 해를 역행렬을 이용하지 아니하고 구하는 방법을 제시하였다.

• Communications for Statistical Applications and Methods
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• 제13권1호
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• pp.135-140
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• 2006

The paper by Paik (1985) introduced a structural property of the designs which was related to the concordance matrix $NN^{t}$ of the design. This special property was termed Property-C. The designs which have Property-C need not calculation of the generalize inverse of C matrix for solution of reduced normal equation. Paik also mentioned that some block designs belong to Property-C. This paper show the Extended Group Divisible designs defined by Hinkelmann (1964) are included in Property-C.

• Communications for Statistical Applications and Methods
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• 제8권2호
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• pp.367-374
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• 2001

In this paper, a method based on group divisible designs is presented for constructing some partial diallel crosses. We discuss in detail a particular inbred line, i.e., p lines divided into two groups with p$_1$ lines and p$_2$ lines. These designs are obtained by regarding the number of lines as treatments. In specially we study and compare the efficiency factors of the constructed partial diallel crosses with or without repeated blocks.

• Communications for Statistical Applications and Methods
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• 제9권2호
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• pp.337-346
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• 2002

Complete diallel crosses using group divisible design with m=2 or n=2 and ${\lambda}_1$<${\lambda}_2$ as parameter designs become A-optimal, D-optimal designs. In case of ${\lambda}_2$=${\lambda}_1$+1, this blocked complete diallel crosses become generalized optimal designs.

• Communications for Statistical Applications and Methods
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• 제8권3호
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• pp.661-666
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• 2001

In this paper we consider the properties of group divisible designs and triangular designs which belong to linked block designs. These designs have minimum number of experiments among the same average efficiency factor Optimal complete diallel cross designs are constructed by these designs. A list is prepared of all linked block designs in the class of group divisible designs and triangular designs enumerated by Clatworthy(1773).

• Journal of the Korean Data and Information Science Society
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• 제3권1호
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• pp.47-63
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• 1992

Bechhofer and Tamhane(1981) proposed Balanced Treatment Incomplete Block (BTIB) desings for comparing p test treatments with a control treatment in blocks of size ${\kappa}$. Notz and Tamhane(1983) solved the problem about determination of the minimal complete class for ${\kappa}=3$. However there are a number of design parameters for which BTIB designs do not exist. We suggest a new class of designs called Group Divisible Treatment Desings(GDTD's) that is a larger class including BTIB designs as a subclass. In this paper we give the minimal complete classes of generator designs for GDTD's with ${\kappa}=2,\;p{\geq}4(except\;prime\;number)\;and\;{\kappa}=3,\;p=4(2)6$.

• 대한수학회보
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• 제45권2호
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• pp.231-239
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• 2008

We obtain a necessary and sufficient condition for the existence of Mendelsohn triple systems excluding contiguous units with ${\lambda}$ = 1. Also, we obtain the spectrum for cyclic such systems.

• 응용통계연구
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• 제3권2호
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• pp.55-77
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• 1990

지금까지의 단일 block size를 전제로 한 E-optimal block design들을 다수 block size로 확 장하는 문제를 종합 정리하고(Lee & Jacroux(1987) 참조), 이를 토대로 기존의 단일 block size를 갖는 block design의 table들을 이용하여 여러 block size의 종류들 중에서 우선 실용 도가 가장 높은 경우인 두 가지 상이한 block size를 갖는 새로운 E-optimal block design의 table을 제작하였음.