Constitutional of Partial Thrale Cross Designs and Their Analysis
No Thumbnail Available
Date
2014-06
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Abeba university
Abstract
Construction of Partial triallel cross designs and their analysis.
Addisu Jember.
Two new methods of construction of mating designs for partial triallel cross for p > 3 lines are
proposed. In the first method we have used a Latin square of order 𝑝, where 𝑝 a prime or power
of a prime is, then bordered rows and columns of the Latin square by the directrix of the Latin
square. Each cell together with border elements gives a design for Partial triallel cross after
eliminating the elements of directrix. In the second method, first we obtain initial blocks and then
develop cyclically mod (p) these initial blocks, we get block designs for partial triallel cross.
These designs are found to be optimal in the sense of Das and Gupta (1997). Diallel mating
designs are useful in estimating the additive and dominance genetic variances only under the
absence of epistatic effects. If epistatic effects are present the variance component due to
interaction between additive and additive (𝜎𝐴𝐴
2), additive and dominance (𝜎𝐴𝐷
2) and dominance
and dominance (𝜎𝐷𝐷
2) can be estimated by raising only Triallel Crosses. However, the number
of all possible three way crosses would be unmanageable even for a moderate number of lines 𝑝.
To handle this situation, we are giving here two new methods of constructing mating design for
partial triallel cross. A method of analysis of these mating designs is also shown by numerical
example.
Keywords: directrix of Latin squares, mating designs, triallel cross, partial triallel cross,
general effects of first kind, general effects of second kind
Description
Keywords
directrix of Latin squares, mating designs, triallel cross, partial triallel cross, general effects of first kind, general effects of second kind