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Estimation of genetic and phenotypic parameters in a closed ...

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a')<br />

variance is given <strong>in</strong> Table 7.<br />

Table 7. Analysis <strong>of</strong> variance for litter<br />

size<br />

Source <strong>of</strong> variation<br />

Among years<br />

d"f.<br />

Y-l<br />

Sum <strong>of</strong><br />

souares<br />

(SS)<br />

tt"<br />

Mean<br />

square<br />

(MS)<br />

*t,<br />

Expec ted<br />

mean<br />

souare<br />

Among groups/year<br />

G-Y<br />

SS^tr<br />

MS^<br />

\J<br />

Among sires/group/year<br />

Litters r¿ith<strong>in</strong> sires<br />

S-G<br />

n.-S<br />

'S,<br />

ssw<br />

"ts<br />

MS_.<br />

l^/<br />

"'r*""3<br />

2<br />

oüI<br />

where Y = mrmber <strong>of</strong> years<br />

G = number <strong>of</strong> farrow<strong>in</strong>g groups<br />

S = number <strong>of</strong> sires<br />

<strong>in</strong>Y vears<br />

n. = total number <strong>of</strong> litters<br />

<strong>Estimation</strong> <strong>of</strong> variance cornponents:<br />

<strong>of</strong>r = us"<br />

o!:ts,-rr"<br />

where K =<br />

*<br />

^2 Àn.<br />

n.- l-<br />

n.<br />

n.<br />

l_<br />

number <strong>of</strong> litters<br />

from the Íth sire<br />

Heritability<br />

follows:<br />

h3 =<br />

4"3<br />

22<br />

os * oIn,<br />

estimated from the síre component<br />

(Falconer,1960) as

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