In this chapter, a new method of constructing a partial
diallel cross plan using the cubic lattice partially balanced incomplete block
designs of three associated classes with parameters v = s3 , b = 2 s3 , r = 4 ,
k = 2, λ1 = 1, λ2 and λ 3 = 1, where S ≥
2 is proposed. Diallel crosses are used to investigate the genetic features of
inbred lines in plant breeding operations. Only the effects of the general
combining ability were estimated in the linear model, and the crosses were
chosen based on the association scheme. Each cross occurs a maximum of one time
in the construction of a partial diallel cross plan, and as the number of lines
(v) increases, the efficiency (Ep) decreases and efficiency factor ( E*) per
cross increases. The Cubic Lattice PBIB design with three associate class were
used to construct the partial diallel cross plans to estimate the GCA effects
and the efficiency Ep decreases and the efficiency factor E* per cross
increases, provided v is large.
Author(s) Details:
Rajarathinam, A.,
Department
of Statistics, Manonmaniam Sundaranar University, Tirunelveli – 627 012, India.
Please see the link here: https://stm.bookpi.org/RATMCS-V8/article/view/13072
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