Statistical modelling

Comparison of the RAM_ID and EWE_ID variance components with their standard errors indicates that the variance component for ewes (1.457) is highly significant (component > 5 times its standard error) but that for ram (0.067) is not (component less than its standard error).

This, therefore, shows how, especially with the ewe component included, the mixed model utilises more of the information contained within the data than the model without the ram and ewe components.

 
**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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