• 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.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.

• Communications for Statistical Applications and Methods
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• v.9 no.1
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• pp.33-38
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• 2002

We prove that blocked complete dialler crosses using balance incomplete block design are A-, D-, E-optimal design. Also, we provide such blocked complete dialled crosses and their average efficiency with table.

• International Journal of Reliability and Applications
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• v.2 no.2
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• pp.131-135
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• 2001

Two general methods of construction leading to several series of universally optimal block designs for complete diallel crosses are provided in this paper. A method of constructing variance balance designs is also given.

• 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.

• The Korean Journal of Applied Statistics
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• v.15 no.2
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• pp.367-379
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• 2002

In this paper, the method of constructing incomplete block designs for comparing general combining abilities of p inbred lines for partial diallel crosses is proposed. These partial diallel crosses block designs are constructed by using m-associate class partially balanced incomplete block designs with block size 2 and balanced incomplete block designs. Also, the efficiencies of block designs obtained through this method are tabulated for number of lines 24 or less.

• 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 Society of Tobacco Science
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• v.23 no.2
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• pp.95-102
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• 2001

This study was conducted to obtain the basic information for breeding of burley(N. tabacum cv. burley) and sun-cured tobacco(N. tabacum cv. sun-cured) variety. Two burley(Burley 21, KB 108), and T.I. 1068 and three sun-cured varieties(Yeonbyeon 3, Jaheungyeon and Jaraehong) were diallel crossed and 15 combinations of F$_1$generations were made in 1998, respectively. Six parental varieties, 15 F$_1$s were grown under the complete randomized block design with 3 replications at Chonju Experiment Station, Korea Ginseng & Tobacco Research Institute in 2000. The data of 12 quantitative characters were measured for degree of heterosis. The results obtained are as follows. Heterosis of F$_1$generation was positive in weight per leaf, plant height, stem diameter, yield, leaf length and total alkaloid content. Cross combinations between either Burley 21 or KB 108 and sun-cured varieties showed comparatively high heterosis in each characters.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.30 no.2
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• pp.131-139
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• 1985

Breeders have concerned with the nature of gene action controlling the duration of grain filling period to combine early maturity and acceptable grain yield to fit wheat into multiple cropping systems. The 4 x 4 complete diallel set of F$_1$, F$_2$ and 1/2 (BC$_1$ + BC$_2$) in crosses of winter and spring wheat cultivars was made to determine the nature of gene action involved for duration of grain filling period. Using the Jinks-Hayman model, no maternal effects were noted nor were any non-allelic interactions observed for total duration of grain filling and lag period. The actual grain filling period was influenced to some degree by such interactions. The spring cultivars Red Bobs and Siete Cerros also appeared to have more dominant genes for longer total duration of grain filling and lag period. In contrast, the winter parents Yamhill and Hyslop had more dominant genes for the longer actual grain filling period. The genes appeared to be independently distributed among the parents.

• Journal of the Korean Society of Tobacco Science
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• v.4 no.1
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• pp.15-20
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• 1982

This experiment was carried out to investigate the degrees and directions of dominance, and gene distributions by analysing diallel crosses of oriental varieties. The analysis of Wr-Vr indicated non-allelic gene interaction for days to (lowering and number of leaves. Five Plant characteristics showed different degrees of dominance : incomplete dominance for Plant height and leaf shape, over dominance for , wield and sugar, and complete dominance for nicotine. It was shown that additive genetic variance was predominant for plant height, leaf shape, and total sugar. More number of dominant genes were present in Kavala and canthi for Plant height; Basma, Samsun and Izmir for leaf shape ; and Basma and Samsun (or nicotine. Their directions of dominance were tall height, narrow leaves, and low nicotine, respectively.