Brian Cullis
Brian Cullis
Brian Cullis
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Competition modelling in sorghum plant breeding trials<br />
R-TIM model including pedigrees<br />
• The R-TIM assumes that as well as having a direct effect<br />
that each entry (ie all F 1 hybrids with data and all<br />
ancestors) also has a so-called neighbour effect<br />
• Furthermore, the total genetic effect is partitioned into an<br />
additive effect and a residual genetic effect (we ignore<br />
dominance effects given the genetic design)<br />
Hence our full model is given by<br />
y = Xτ +Z g u a +Z g u ι +Z p u p +e<br />
where u ′ a = (u′ a d<br />
u ′ a n<br />
) and u ′ ι = (u′ ι d<br />
u ′ ι n<br />
). The associated<br />
genetic design matrices are given by Z g = [Z gd N g Z gd ] where<br />
N g = I c ⊗N r and N r is the within row first order neighbour<br />
incidence matrix.<br />
VSN Applied Statistics Conference 2011<br />
Modelling variance structures of multi-term effects
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