Showing posts with label partial diallel crosses. Show all posts
Showing posts with label partial diallel crosses. Show all posts

Wednesday, 31 January 2024

Optimal Partial Diallel Cross Plan and Its Constructions | Chapter 9 | Research and Applications Towards Mathematics and Computer Science Vol. 8

In this chapter, a new method of constructing a partial diallel cross plan using the two blocked (equal block) and unblocked (unequal block) balanced incomplete block designs d1 and d2, and each design has two sets of parameters m1, m2, and n1, n2, where S0 ≥6 with parameters v,b,r,k and λ, is proposed. In plant breeding operations, diallel crossings are employed to explore the genetic characteristics of inbred lines. Using the linear model, estimated only the general combining ability effects. The crosses were taken based on the design parameters, and each cross occurred only once in constructing the partial diallel cross plan. When the number of lines (v) increases, the efficiency factor (Ep) and efficiency factor (E*) per cross will increase. The constructed method is also illustrated with a suitable example. The MS-optimality criterion is significantly more straightforward than traditional criteria since it allows for algebraic findings in an area where different criteria are typically only evaluated numerically, design by design.

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/13122


Construction of Partial Diallel Cross Plan and its Operations | Chapter 4 | Research and Applications Towards Mathematics and Computer Science Vol. 8

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