• Title/Summary/Keyword: Complete diallel cross

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Robustness of Complete Diallel cross designs with a Single Missing Observation

  • Kwon, Yong-Man;Lee, Jang-Jae
    • 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.

Complete diallel cross experiment for Symmetric BIB designs (대칭 균형된 불완비 블록계획을 이용한 완전이면교배 실험)

  • 배종성;김공순
    • 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.

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Design of Block Complete Diallel Crosses using Dual Design of Blanced Incomplet Block Design (균형된 불완비 블록계획의 쌍대계획을 이용한 완전이면교배의 블록화)

  • Kim, Jin;Bae, Jong-Sung
    • 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.

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Optimal Block Designs for Complete Diallel Cross

  • Park, Kuey-Chung;Son, Young-Nam
    • 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.

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Linked Block Designs for Diallel Cross Experiment

  • Bae, Jong Sung;Lee, Yung Man;Baek, Jang Sun
    • 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).

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Degree of Heterosis in Diallel Crosses of Burley and Chinese Sun-cured Tobacco (Nicotiana tabacum L.) (버어리종 연초와 중국 양건종의 이면교잡에 의한 양적형질의 잡종강세정도)

  • 이호림;조천준;류점호
    • 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.

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Pollen-Tree Selection among the Varieties of Corylus avellana in a Complete Diallel Cross (완전(完全) 대조(對照) 교배(交配)에 의(依)한 개암나무의 수분수(授粉樹) 선발(選拔))

  • Jung, Suk Koo;Noh, Eui Rae;Park, Chi Sun;Ahn, Chang Young;Jo, Jung Gi
    • Journal of Korean Society of Forest Science
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    • v.75 no.1
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    • pp.55-66
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    • 1986
  • A complete diallel cross using ten varieties of Corylus avellana was made to select the best general combiners and the best specific combiners for each characteristic of each variety. The variety "Barcelona" showed the best general combining ability in kernel yield per hectare and the combinations, between Kara and Badem, between Badem and Barcelona, between Sivri and Barcelona, between Sirri and Barcelona, between Palaz and Barcelona, between Tombul and Kara, between Barcelona and Sivri, between Fiukuken2 and Hukuken3, and between Hukuken3 and Hukuken2, showed the best specific combining abilities in kernel yield. The other characteristics such as fruiting rate, pericarp thickness, weight/nut, kernel weight/nut, kernel ratio, and kernel yield per tree or hectare were also compared between the combinations.

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Diallel Analysis for Rice Allelopathic Potential against Barnyardgrass Assessed in Field Condition

  • Junaedi, Ahmad;Lee, Sang Bok;Chung, Ill Min;Kim, Kwang Ho
    • Korean Journal of Breeding Science
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    • v.40 no.1
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    • pp.8-14
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    • 2008
  • A complete diallel cross was performed to determine the inheritance of allelopathic potential and combining ability of six rice germplasm that showed different level of allelopathic potential against barnyardgrass. Parents and F1 of 30 crosses were assessed for allelophatic potential in field condition. Barnyardgrass (Echinochloa crus-galli (L.) Beauv. var. frumentaceae) was used for rice allelopathic potential indicator which was observed in height and shoot dry weight, then suppression percentage were calculated by comparing to barnyardgrass grown in control plot (no rice). It was found that general combining ability showed no significant effect, whereas specific combining ability and reciprocal effect were significant. Variance analysis confirmed that genetic control of allelopathic potential in rice against barnyardgrass was mostly directed by dominance gene effect. The dominant genes were associated with high allelopathic potential and recessive genes were associated with low allelopathic potential. Heritability in broad sense for barnyardgrass dry weight suppression was around 41%; whereas for barnyardgrass height suppression was 51%. However, heritability in narrow sense was very low. The finding suggests that accumulation of genes associated with allelopathic potential would be a strategy to develop promising varieties in reference with the specific combining ability of cross combinations.

Genetic Analysis of Quantitative Trait for Flowering Habits by Diallel Crosses in Sesame (참깨의 이면교잡에 의한 유한형 양적형질 유전분석)

  • Mun Sik Shin
    • 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.

Vr-Wr Analysis of Yield Characters in Cotton (목화 주요형질의 Vr-Wr그래프 분석)

  • Choi Chu-Ho;Lee Shin-Woo;Lee Cheol-Ho;Chun Hyun-Sik
    • 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 $F_1$.