Statistical modelling/Milk offtake

The output also shows how care must be taken in interpreting the parameter estimates. Each is corrected for the others in the model with the t-value measuring the significance of the parameter when included in addition to all other parameters in the model.

The accumulated analysis of variance, on the other hand, shows the additional sum of squares accounted for as each variable is added in turn. The order in which the terms are included to the model is important. Each sum of squares is corrected for variables already included in the model but not for those to be added later. Therefore the F-value has a different interpretation from the t-value.

 

 

Response variate: TOTALM
Fitted terms: Constant+LOCATION+AGEC+AGEC.LOCATION

*** Summary of analysis ***

d.f.

s.s.

m.s.

v.r.

Regression

3

30.23

10.0766

31.39

Residual

160

51.37

0.3210

 

Total

163

81.60

0.5006

 

Percentage variance accounted for 35.9

*** Estimates of parameters ***

estimate

s.e.

t(160)

Constant

0.983

0.161

6.09

LOCATION 1

1.411

0.212

6.67

AGEC

0.0073

0.0250

0.29

AGEC.LOCATION 1

-0.1036

0.0333

-3.11

Parameters for factors are differences compared with the reference level:
Factor Reference level: LOCATION 2

*** Accumulated analysis of variance ***

Change

d.f.

s.s.

m.s.

v.r.

+ LOCATION

1

24.0448

24.0448

74.90

+ AGEC

1

3.0777

3.0777

9.59

+ AGEC.LOCATION

1

3.1073

3.1073

9.68

Residual

160

51.3656

0.3210

 

Total

163

81.5953

0.5006