Statistical modelling/Milk offtake

The next step is to investigate whether non-parallel lines better represent the data. This is achieved by fitting an interaction term in the model.Here we use the Options button to allow Accumulated to be ticked (see below). This allows an accumulated analysis of variance to be included in the output which shows the sums of squares accounted for by each term as it is added to the model.

The output shows that the interaction term is significant (P<0.01). The percentage variance accounted for increases from 32.4% in the previous analysis to 35.9% here.

 

 

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