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Correlation

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Mixed (polygenic) model<br />

Vector of quantitative phenotype Y<br />

Y = µ + B g + G + e<br />

g: genotype indicator vector g i in {0,1,2}<br />

B: additive affect of the allele<br />

e: is random residual effect ~ MVN(0, Iσ e<br />

2<br />

)<br />

G: is random polygenic effect ~ MVN(0, Φ σ G<br />

2<br />

)<br />

Maximum Likelihood (ML) or Restricted ML (REML)<br />

• Software packages available (MERLIN, QTDT,<br />

SOLAR, ASReml)<br />

QTL/MAS Workshop, May 2010, Poznan<br />

Yurii Aulchenko

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