• The Korean Journal of Applied Statistics
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• v.5 no.1
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• pp.1-8
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• 1992

Using the partitioned matrices, we presents a method of analysis which are not needed inverse matrix for Hierarchical Group Divisible(HGD) designs whose treatments are composed of 2.2.2.

• Communications for Statistical Applications and Methods
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• v.13 no.1
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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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• v.8 no.2
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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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• v.9 no.2
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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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• v.8 no.3
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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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• v.3 no.1
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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 ${\kappa}=2,\;p{\geq}4(except\;prime\;number)\;and\;{\kappa}=3,\;p=4(2)6$.

• Bulletin of the Korean Mathematical Society
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• v.45 no.2
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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.

• The Korean Journal of Applied Statistics
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• v.3 no.2
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• pp.55-77
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• 1990

In this paper we descuss some E-optimal block designs having unequal block sizes, and give a table of E-optimal designs with 2 different block sizes which can be constructed using the method described in Theorem 3. 2, Theorem 3. 4 and Theorem 3. 5 proved by Lee and Jacroux (1987). All of source designs used are Group Divisible designs which can be found in Clathworthy(1973) or Balanced Incomplete block designs in Raghavarar(1971).