• Proceedings of the Korean Statistical Society Conference
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• 2000.11a
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• pp.181-186
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• 2000

완전이면교배를 블록화하는 디자인으로 대개 부분적으로 균형된 불완비 블록계획을 사용한다. 이때 블록화하는 디자인으로 삼각형 PBIBD를 사용하기 위해는 대응되는 삼각형 PBIBD를 찾아야 한다. 특정한 모수를 갖는 균형된 불완비 블록계획의 쌍대계획이 삼각형 PBIBD가 되는 성질을 이용하면 삼각형 PBIBD를 새로 찾아야 하는 번거로움 없이 블록 완전이면교배를 설계할 수 있다. 이를 만족하는 블록 완전이면교배를 설계하는 방법과 디자인을 제시하였다.

• 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.

• Proceedings of the Korean Statistical Society Conference
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• 2001.11a
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• pp.109-114
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• 2001

m=2 또는 n=2이고, ${\lambda}_1<{\lambda}_2$인 그룹분류가능계획을 매개디자인으로 사용한 완전이면교배가 A-최적, D-최적임을 보였다. 또한, ${\lambda}_2={\lambda}_1+1$이면 일반화된 최적계획이 됨을 보였다.

• The Korean Journal of Applied Statistics
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• v.12 no.1
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• pp.253-260
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• 1999

이어진 블록계획 중에서 대칭 균형된 불완비 블록계획(Symmetrical Balanced Incomplete Block Design : SBIBD)을 이용하여 n-ary를 블록 완전이면교배(Complete Diallel Cross : CDC)계획을 설계하였다. 처리 수와 반복 수가 고정된 경우, 이렇게 설계된 계획이 균형된 불완비 블록계획을 이용해서 설계한 계획들 중에서 가장 효율이 높은 계획임을 보인다.

• 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.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.53 no.spc
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• pp.58-64
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• 2008

A complete diallel cross was performed to determine the inheritance of 1,000 grain weight of brown rice and cyanidin-3-glucoside (C3G) content and combining ability of five pigmented rice that showed different level of C3G content. Parents and F1 of 20 crosses were evaluated for 1,000 grain weight of brown rice and C3G content which extracted from pigmented rice grain with 0.1% trifluoroacteic acid (TFA) in 95% EtOH. For 1,000 grain weight of brown rice and C3G content, both additive and dominant gene effects were detected and the dominance was partial and there were more dominant alleles than recessive ones. Genetic parameters pointed out that there are significant additive and dominant effects and the additive effect is bigger than the dominant one for both grain weight and C3G content. The frequency of negative alleles were higher than positive alleles. Narrow sense heritability estimates were 0.66 for grain weight of 1,000 brown rice and 0.70 for C3G contents. General combining ability (GCA) effects and specific combining ability (SCA) effects were highly significant and GCA effects were drastically higher than SCA ones. It indicates that the inheritance of the C3G contents is controlled mainly by additive genetic factor.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.48 no.6
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• pp.442-446
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• 2003

The Gene action for eight quantitative characters related to the plant type was estimated using diallel cross among three different plant types of sesame (Sesamum indicum L.) in 2001. The parental varieties used for diallel cross were Ahnnam and Yangbaeck as indeterminate type, ksan22 as semi-determinate type, and dt-45 and Suwon131 as determinate type. In variance and covariance analysis (Wr-Vr) for eight characters the mean square of array except for capsule length, 1,000 seed weight were significant, which suggest that varieties involved in diallel set cross may have epitasis. Complete dominance was observed in the flowering periods, and ratio of matured grains while partial dominance was observed in the plant height, no. of capsules per plant, and no. of branch per plant. Broad sense heritability for flowering periods, plant height, no. of capsules per plant, and no. of branch per plant ranged from 0.91 to 0.99. Narrow sense heritability for flowering periods, capsule length, ratio of matured grain, 1,000 seed eight were 0.18 to 0.34, and plant height, no. of capsules per plant and no. of branch per plant were ranged 0.77 to 0.81.

• Journal of Life Science
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• v.15 no.3 s.70
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• pp.365-373
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• 2005

The quantitative inheritance of some yield characters in Gosyium spp was carried out by means of a $10\times10$ diallel cross. In this study, 45 combinations of $F_1\;and\;F_2$ generations were genetically analyzed through 10 different cultivars diallel cross population of cotton (Gosyium spp) at an experimental field. The results of Vr-Wr graph analysis of six characters such as number of boll, boll weight, lint weight per boll, 100 seeds weight, fiber fineness and fiber length in those combinations by the Hayman's method were as follow: 1. The significant difference was observed from the genetic variance of all the examined characters. 2. On based the Vr-Wr graphical analysis, $F_1$ showed a complete dominance in all the experimental characters except boll weight, lint weight per boll and fiber fineness, but the dominance degree and gene arrangement of $F_2$ were somewhat different from those of $F_1$.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.29 no.1
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• pp.84-88
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• 1984

To obtain basic information on the breeding of early maturing, short plant height rapeseed varieties, the following 7 varieties, Isuzu, Miyuki, Norin 25, Rang, Yongdang, Cresus and Tower were used in diallel crosses in 1979. Maturing date, plant height and grain weight per plant for the parents, $F_1$'s and $F_2$'s of the 7 x 7 partial diallel crosses were measured in 1981 for analysis of their genetic behavior. The results obtained are summarized as follows: 1. The days to maturing of $F_1$'s showed complete dominance for early maturing, and both additive and dominance genetic variances were significant. Number of effective factors in $F_1$'s was 3, but in $F_2$'s was 1. The degree of dominance in $F_1$'s was partial, while in $F_2$'s was complete. Both broad and narrow sense herita-bilities in $F_1$'s was high, while in $F_2$'s was low. 2. Yield per plant in $F_2$'s was controlled by additive component of genetic variance only, but $F_1$'s was different. The degree of dominance in $F_1$'s was complete, while in $F_2$'s was partial. The direction of dominance showed almost complete dominance over high yield and three effective factors was estimated. Yield per plant was controlled by recessive genes. 3. The plant height was controlled by both dominance and additive variance. Dominance was directed toward tall plant height. Number of effective factors was 2, and broad and narrow sense heritability were high in the plant height.

• Korean Journal of Agricultural Science
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• v.4 no.2
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• pp.254-282
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• 1977

To obtain information on the inheritance of the quantitative characters related with the vegetative and reproductive growth of rice, the $F_1$ seeds were obtained in 1974 from the all possible combinations of the diallel crosses among five leading rice varieties : Nongbaek, Tongil, Palgueng, Mangyeong and Gimmaze. The $F_1$'s including reciprocals and parents were grown under the standard cultivation method at Chungnam Provincial Office of Rural Development in 1975. The arrangement of experimental plots was randomized block design with 3 replications and 12 characters were used for the analysis. Analytical procedure for genetic components was followed the Griffing's and Hayman's methods and the results obtained are summarized as follows. 1. In all $F_1$'s of Tongil crosses, the longer duration to heading was due to dominant effect of Tongil and each $F_1$ showed high heterosis in delaying the heading time. It was assumed that non-allelic gene action besides dominant gene effect might be involed in days to heading character. However, in all $F_1$'s from the crosses among parents excluding Tongil the shorter duration was due to dominant gene action and the degree of dominance was partial, since dominance effects were not greater than the additive effect. The non-allelic gene interaction was not significant. Considering the results mentioned above, it was regarded that there were two kinds of Significantly different genetic systems in the days to heading. 2. The rate of heterosis was significantly different depending upon the parents used in the crosses. For instance, the $F_1$'s from Togil cross showed high rate of heterosis in longer culm. Compared to short culm, longer culm was due to recesive gene action and short culm was due to recesive gene action. The dominant gene effect was greater than the additive gene effect in culm length. The narrow sense of heretability was very low and the maternal effects as well as reciprocal effects were significantly recognized. 3. The lenght of the of the uppermost internode of each $F_1$ plant was a little lorger than these of respective parental means or same as those of parents having long internodes, indicating partial dominance in the direction of lengthening the uppermost internodes. The additive gene effects on the uppermost internode was greater than the dominance gene effect. The narrow as well as broad sense of heritabilities for the character of the uppermost internode were very high. There were significant maternal and reciprocal effect in the uppermost internode. 4. The gene action for the flag leaf angle was rather dominance in a way of getting narrower angle. However, in the Palgueng combinations, heterosis of $F_1$ was observed in both narrow and wide angles of the flag leaf. The dominant effects were greater than the additive effects on the flag leaf angle. There were observed also a great deal of non-allelic gene interacticn on the inheritance of the flag leaf angle. 5. Even though the dominant gene action on the length and width of flag leaf was effective in increasing the length or width of the flag leaf, there were found various degrees of hetercsis depending upon the cross combination. Over-dominant gene effect were observed in the inheritance of length of the flag leaf, while additive gene effects was found in the inheritance of the width of the flag leaf. High degree of heretabilities, either narrow or broad sense, were found in both length and width of the flag leaf. No maternal and reciprocal effect were found in both characters. 6. When Tongil was used as one parent in the cross, the length of panicle of $F_1$'s was remarkedly longer than that of parents. In other cross comination, the length of panicle of $F_1$'s was close to the parental mean values. Rather greater dominent gene effect than additive gene effect was observed in the inheritance of panicle length and the dominant gene was effective in increasing the panicle length. 7. The effect of dominant genes was effective in increasing the number of panicles. The degree of heterosis was largely dependent on the cross combination. The effect of dominant gene in the inheritance of panicle number was a little greater than that of additive genes, and the inheritance of panicle number was assumed to be due to complete dominant gene effects. Significantly high maternal and reciprocal effects were found in the character studied. 8. There were minus and plus values of heterosis in the kernel number per panicle depending upon the cross combination. The mean dominant effect was effective in increasing the kernel number per panicle, the degree of dominant effect varied with cross combination. The dominant gene effect and non-allelic gene interaction were found in the inheritance of the kernel number per panicle. 9. Genetic studies were impossible for the maturing ratio, because of environmental effects such as hazards delaying heads. The dominant gene effect was responsible for improving the maturing ratio in all the cross combinations excluding Tongil 10. The heavier 1000 grain weight was due to dominant gene effects. The additive gene effects were greater than the dominant gene effect in the 1000 grain weight, indicating that partial dominance was responsible for increasing the 1000 grain weight. The heritabilites, either narrow or broad sense of, were high for the grain weight and maternal or reciprocal effects were not recognized. 11. When Tongil was used as parent, the straw weight was showing high heterosis in the direction of increasing the weight. But in other crosses, the straw weight of $F_1$'s was lower than those of parental mean values. The direction of dominant gene effect was plus or minus depending upon the cross combinations. The degree of dominance was also depending on the cross combination, and apparently high nonallelic gene interaction was observed.