• Journal of Integrative Natural Science
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• v.5 no.2
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• pp.135-138
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• 2012

The reduction of efficiency of missing observations on complete diallel cross designs are examined. we studies robustness of optimal block designs for estimating general combining ability against loss of missing observations in diallel cross. A-efficiencies suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the differences between the pairs of line effects with missing observations. we numerically calculate the reduction of efficiency for estimating general combining ability against loss of missing observations in diallel cross.

• Communications for Statistical Applications and Methods
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• v.9 no.3
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• pp.675-682
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• 2002

In this study, we develop the statistical analysis program for genetic analysis of diallel crosses data by SAS/MACRO, SAS/IML. Genetic analysis is to estimate of genetics parameters and heredity with reciprocal cross and without reciprocal cross. Statistical analysis program solve the problem of the difficulties on the data analysis in field denetics and breeding Therefore the user whoever want to analysis of data on genetics and breeding easily conduct the work saving time and suffering.

• 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.

• 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.

• 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.

• International Journal of Reliability and Applications
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• v.3 no.3
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• pp.125-132
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• 2002

Sometimes we have two groups of inbred lines and there are only interest in gca comparisons within two groups of lines of sizes$\P_1$ and $\P_@$, not between two groups. For example, suppose there two Lab, each of the 2 Labs have obtained the best line. For this purpose we now give a method of constructing block designs for diallel cross experiments and we will explain how to calculate efficiency. Then we show the efficiencies in the table.

• 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.

• 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).

• 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.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.21 no.2
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• pp.281-313
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• 1976

To obtain fundamental informations on cotton breeding efficiences for Korea, individual genetic relationships and interrelationships between the agronomic characteristics of Upland cotton were investigated. These experiments were couducted at the Mokpo Branch Station $(34^{\circ}48'N, $ $126^{\circ}23'E$ and altitude of 10m above sea level) from 1969 through 1972. Heterosis, combining ability, dominance and recessive gene action, genetic variance, and phenotypic and genotypic correlation were investigated by $F_1'S$ from an 11-parent partial diallel cross and the segregating $F_2$ and $F_3$ populations of the cross Paymaster times Heujueusseo Trice. The following points resulted from this study, 1. Heteroses for number of bolls per plant and lint yield were significant at 27, 84% and 37.26%, respectively. No other character had significant heteroses. 2. The GCA estimates for all studied characteristics were higher than the SCA estimates. Varieties with high GCA effects were Suwon 1 for earliness, Paymaster and Arijona for high lint percent, and Arijona for long fiber, etc, 3. SCA estimates for lint yield varied widely in crosses with Mokpo 4, Mokpo 6 and Heujueusseo Trice. Those crosses with the highest SCA effects were combinations with large characteristics differences, Example of these crosses are Mokpo 4 times Acala 1517W, Mokpo 4 times D. P. L. and Heujueusseo Trice aud Paymaster. 4. Early-maturing varieties were completely dominant to late-maturing varieties in some combinations while other crosses gave intermediate phenotypes. These results suggest additive genetic action by multi-genes. Heujueusseo Trice, Mokpo 6, and Suwon 1 showed highest degree of dominance for earliness. 5. There were no significant trends for inheritance of weight of boll and 100 seeds weight. 6. Long staple was partially to completely dominant to short staple. Though there were single gene ratios the rate of dominance decreased in the $F_2$ and $F_3$ populations in the cross between the long staple variety Paymaster and the short staple variety Heujueusseo Trice. Diallel cross $F_1$ hybrids showed complicated allelic gene action for staple length. Various dominance degree were shown by varieties. 7. Number of bolls per plant indicated strong over-dominance and small non-allelic additive gene action. 8. Lint Yield was characterized by over-dominance and by multiple non-allelic-gene action. High-yielding varieties were dominant to low-yielding ones. However, the low-yielding variety Heujueusseo Trice showed over-dominance, indicating different reactions according to the varieties and combinations. 9. Broad sense heritability for days to flowering was 34-39% while narrow sense heritability was 11%. Large variations of individual plants caused by Korean climatic conditions cause this situation. Heritability estimates for weight of boll was 30% for broad sense and 22% for narrow sense. 10. Heritability estimates for staple length and lint percent were very high suggesting strong selection effects. 11. Narrow sense heritability estimates for number of bolls per plant was 30% in the diallel cross $F_1$ hybrids and 36% in the $F_2$ population of the special cross. Broad sense heritability was estimated at 67% suggesting that. 12. Heritability estimates for lint yield was low due to high over-dominance in the diallel cross $F_1$ hybrids. Heritability estimates for yield was low in the $F_1$ hybrids but high in the $F_2$ and $F_3$ populations. 13. Phenotypic and genotypic correlations between lint percent and days to flowering and between staple length and days to flowering were high in the $F_1, $ $F_2$ and $F_3$ populations. Late-maturing varieties and individuals had long staple and high lint percent in general. As the correlation between days to flowering and lint yield was extremely low, the two traits were considered independent of each other. Days to flowering and number of bolls per plant were negatively correlated in the $F_3$ population, indicating early-maturing individual plants with many bolls may be readily selected. 14. Phenotypic and genotypic correlations between lint percent and staple length were high in $F_1, $ $F_2$ and $F_3$ populations. Accordingly, long staple varieties were high in lint percent. It was recognized that lint yield and lint percent were positively correlated in the diallel cross $F_1$ hybrids, and lint percent and staple length were positively correlated in the $F_2$ population, indicating that lint percent and staple length affect lint yield. 15. Lint yield was significantly and positively phenotypically correlated with number of bolls per plant in $F_1, $ $F_2$ and $F_3$ populations. A high genotypic correlation was also noted indicating a close genetic relationship. The selection efficiencies for a high-yielding variety can be increased when individual plants with many bolls are selected in later generations. The selection efficiencies for good fiber quality can be enhanced when individuals with long staple and high lint percent are selected in early generations.