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Brian Cullis

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Linear mixed model<br />

Assumptions<br />

[ u<br />

e<br />

] ([ 0<br />

∼ N<br />

0<br />

]<br />

,<br />

[ G 0<br />

0 R<br />

])<br />

• G = G(γ)<br />

• R = R(φ)<br />

• var(y) = H where H = ZGZ ′ +R<br />

• Overall scale parameters have been omitted for simplicity<br />

of presentation: inclusion leads to use of variance<br />

components (rather than variance component ratios)<br />

VSN Applied Statistics Conference 2011<br />

Modelling variance structures of multi-term effects

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