Construction of Complete Diallel Crosses Plans

2021 ◽  
Author(s):  
RAJARATHINAM A ◽  
S.V Adhira ◽  
D.K. Ghosh
Keyword(s):  
Combining Ability ◽  
Galois Field ◽  
General Combining Ability ◽  
Specific Combining Ability ◽  
Block Designs ◽  
Incomplete Block ◽  
Diallel Crosses ◽  
Balanced Incomplete Block Designs ◽  
Balanced Incomplete Block

Abstract In this paper Complete Diallel Crosses (CDC) plan is constructed using two Balanced Incomplete Block Designs and the Galois field with the same set of parametersI. The designs were isomorphic on each other and the crossing is made between the lines. The analysis of CDC plans to estimate the general combining ability (GCA) effects and specific combining ability (SCA) effects were excluded from the model. The efficiency value of the constructed CDC plan is tends to 1, and universally optimum when v is very large. The construction is also illustrated with the suitable example.

Trend‐Free Nested Balanced Incomplete Block Designs and Designs for Diallel Cross Experiments

2007 ◽  
Vol 59 (3-4) ◽  
pp. 203-221
Author(s):  
Kishan Lal ◽  
Rajender Prasad ◽  
V. K. Gupta
Keyword(s):  
Block Design ◽  
Block Size ◽  
Diallel Cross ◽  
Block Designs ◽  
Incomplete Block ◽  
Diallel Crosses ◽  
Balanced Incomplete Block Designs ◽  
Block Level ◽  
Balanced Incomplete Block ◽  
Necessary And Sufficient

Abstract: Nested balanced incomplete block (NBIB) designs are useful when the experiments are conducted to deal with experimental situations when one nuisance factor is nested within the blocking factor. Similar to block designs, trend may exist in experimental units within sub‐blocks or within blocks in NBIB designs over time or space. A necessary and sufficient condition, for a nested block design to be trend‐free at sub‐block level, is derived. Families and catalogues of NBIB designs that can be converted into trend‐free NBIB designs at sub‐block and block levels have been obtained. A NBIB design with sub‐block size 2 has a one to one correspondence with designs for diallel crosses experiments. Therefore, optimal block designs for dialled cross experiments have been identified to check if these can be converted in to trend‐free optimal block designs for diallel cross experiments. A catalogue of such designs is also obtained. Trend‐free design is illustrated with example for a NBIB design and a design for diallel crosses experiments. AMS (2000) Subject Classification: 62K05, 62K10.

HETEROSIS IN DIALLEL CROSSES AMONG SIX VARIETIES OF HARD RED SPRING WHEAT

1969 ◽  
Vol 11 (4) ◽  
pp. 810-822 ◽  
Author(s):  
D. R. Knott ◽  
S. S. Sindagi
Keyword(s):  
Spring Wheat ◽  
Combining Ability ◽  
General Combining Ability ◽  
Specific Combining Ability ◽  
Diallel Crosses ◽  
Hard Red Spring Wheat

Diallel crosses were made among six varieties of hard red spring wheat that differed considerably in yield and other characteristics. The F1 hybrids were tested at two seeding rates and the F2, hybrids at one. Heterosis was not great in either generation and no cross appeared to be promising. General combining ability was much more important than specific combining ability and parental yields gave reasonable predictions of hybrid yields. Yields of hybrids at the two seeding rates were closely correlated.

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