Statistical modelling
Another notable difference between this output and the one given earlier is the addition of estimated values for variance components attributable to ram and ewe. A variance component provides a measure of the variation directly associated with the random effect itself.
Variance components have an important use because they provide the basis for calculating genetic parameters such as heritability
In this analysis the ewe variance component is higher than the ram component indicating the ewe has a significant maternal influence on its lamb's growth to weaning. On the other hand the ram estimates is less than its standard error.
|
|
**Estimated Variance Components **
Random
term |
Component |
S.e. |
RAM_ID |
0.067 |
0.089 |
EWE_ID |
1.457 |
0.283 |
***
Residual variance model ***
Parameter
|
Estimate
|
S.e.
|
Sigma2
|
3.427
|
0.266
|
**Approximate stratum variances ***
|
|
Effective
d.f.
|
RAM_ID |
4.733
|
57.66
|
EWE_ID |
6.490
|
297.74
|
*units* |
3.427
|
332.60
|
* Matrix of
coefficients of components for each stratum
RAM_ID |
10.31
|
0.42
|
1.00
|
EWE_ID |
0.00
|
2.10
|
1.00
|
*units* |
0.00
|
0.00
|
1.00
|
*** Deviance: -2*Log-Likelihood ***
Deviance |
d.f. |
1817.10 |
685 |
***
Wald tests for fixed effects ***
Fixed
term |
Wald
statistic |
d.f.
|
Wald/d.f.
|
Chi-sq
prob
|
*
Sequentially adding terms to fixed model |
YEAR |
230.32
|
5
|
46.06
|
<0.001
|
SEX |
9.66
|
1
|
9.66
|
0.002
|
AGEWEAN |
63.84
|
1
|
63.84
|
<0.001
|
DL |
30.44
|
1
|
30.44
|
<0.001
|
DQ |
78.41
|
1
|
78.41
|
<0.001
|
RAM_BRD |
6.64
|
1
|
6.64
|
0.010
|
EWE_BRD |
2.91
|
1
|
2.91
|
0.088
|
|
|