Statistical modelling

The analysis of variance table is shown alongside. Both herd group and herd within herd group are statistically significant (P<0.001) (much higher mean squares than the residual mean square). The output shows that the grand mean is 347 kg. 

If we then use Data → Calculations… to add this value to the residual values for each cow we can obtain the value (EXPTOT) that a cow would have been expected to have should all herd means have been equal. Thus, a cow from KANYAN, the region, where offtakes were on average the highest, will have its expected value (EXPTOT) adjusted downwards.

 
***** Analysis of variance *****
Variate: TOTYLD
Source of variation

d.f.

s.s.

m.s.

v.r.

HDGRP

7

1682692.

240385.

31.46

HDGRP.HERD

29

1296565.

44709.

5.85

Residual

350

2674420.

7641.

Total

386

5653677.


* MESSAGE: the following units have large residuals.
*units*

38

298.

s.e

83.

*units*

81

-249.

s.e

83.

*units*

159

292.

s.e

83.


***** Tables of means *****
Variate: TOTYLD
Grand mean 347.
HDGRP   

KANYAN

KASHON

KIKAAS

MASHA

 

444.

373. 

275. 

343. 

rep.    

83

62

43

11

HDGRP

MUTONT

RUHENG

RUSHER

RYERU

 

275.

248. 

312. 

363. 

rep.    

48

35

22

83


*** Standard errors of differences of means ***
Table  

HDGRP

 
rep. 

unequal 

 
d.f.  

350

 
s.e.d.  

37.3X

min.rep

 

28.0 

max-min

 

13.6 

max.rep

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