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Brian Cullis

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Competition modelling in sorghum plant breeding trials<br />

R-TIM model including pedigrees-distributional assumptions<br />

Often the so-called reduced rank form of a factor analytic model<br />

of order 1 often provides a more parsimonious fit. This model is<br />

equivalent to the random effects Draper and Guttman model, in<br />

which the neighbour and direct effects are given by, say for<br />

s = a,<br />

u an = ρ a u ad<br />

This model can be fitted using the extended factor analytic<br />

algorithm and these lead to rank one forms for G s given by<br />

G s = λ s λ ′ s where λ ′ s = (λ s1 ,λ s2 ) for s = a,ι.<br />

VSN Applied Statistics Conference 2011<br />

Modelling variance structures of multi-term effects

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