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

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