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AUGMENTED PARTIAL DIALLEL CROSS PLAN USING GROUP DIVISIBLE PARTIALLY BALANCED INCOMPLETE BLOCK DESIGN
Keywords:
group divisible partially balanced incomplete block design, augmented partial diallel cross (APDC), general combining ability, incidence matrix and efficiency.DOI:
https://doi.org/10.17654/0972086323015Abstract
A new method of constructing an augmented partial diallel cross plan using the group divisible partially balanced incomplete block designs of two associated classes with parameter $v=m n=q$, $b=\left(s^2-2\right)^2, \quad r=s^2-1, \quad k=2, \quad \lambda_1=0 \quad$ and $\lambda_2=1$, where $s \geq 2, p$ and $q$ are the primary and secondary lines. Here one or more primary lines are crossed with the secondary lines, and the PDC plan is used for the secondary lines. Only the GCA effects were estimated in the linear model, and the crosses were taken based on the primary and secondary lines excluding reciprocals. In the construction of APDC, each cross occurs a maximum of once. The variance of interline comparisons for GCA effects was developed, and also discussed the efficiency of APDC, which is higher; when the number of lines $\mathrm{p}$ and $q$ increases, the efficiency factor $E_p$ and the efficiency factor $E^*$ per cross increase.
Received: February 24, 2023
Revised: May 13, 2023
Accepted: June 18, 2023
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