• Communications for Statistical Applications and Methods
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• v.11 no.1
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• pp.169-179
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• 2004

Partially balanced diallel cross designs with m-associate classes are defined and two general methods of construction are presented. Two-associate class designs based upon group divisible, triangular, and extended group divisible association schemes obtained using the general methods are also given. Tables of designs for p$\leq$24 are also provided.

• Communications for Statistical Applications and Methods
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• v.8 no.1
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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.

• Journal of the Korean Data and Information Science Society
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• v.11 no.2
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• pp.247-255
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• 2000

Usually, partailly balanced incomplete block design have been used a parametric design that make blocks of complete diallel cross. For that we use triangular PBIBD as parametric design, we have to find triangular PBIBD with corresponding parameters. Using the theorem that dual design of balanced incomplete block design with special parameters becomes triangular PBIBD, we can design block complete diallel cross without finding new triangular PBIBD. In this paper, we provided the plan and design satisfying such block complete diallel crosses.