Construction of Partial Triallel Cross Designs and their Analysis

Addisu, Jember (2014) Construction of Partial Triallel Cross Designs and their Analysis. Masters thesis, Addis Ababa University.

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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 (���2), additive and dominance (��� 2) and dominance and dominance (��� 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 �. 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.

Item Type: Thesis (Masters)
Uncontrolled Keywords: directrix of Latin squares, mating designs, triallel cross, partial triallel cross, general effects of first kind, general effects of second kind
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Divisions: Africana
Depositing User: Selom Ghislain
Date Deposited: 19 Jun 2018 12:25
Last Modified: 19 Jun 2018 12:25

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