51
BÜCHI
Fat Determination
B-820/B-821
5 Operation
Content value x
1
Content value x
2
Content value x
n
Figure 22a: Sample statistics
Sample 1
Sample 2
Sample M
x
1
x
m
x
2
Figure 22b: Group statistics
CONTENT VALUE X
2
CONTENT VALUE X
2
CONTENT VALUE X
1
CONTENT VALUE X
1
CONTENT VALUE X
2
CONTENT VALUE X
n
CONTENT VALUE X
n
CONTENT VALUE X
n
CONTENT VALUE X
1
S
p
→
→
→
→
→
v
p
→
→
→
→
→
v
g
5.2.10 Statistics
Sample statistics
Up to 9 injections can be carried out with the same sample.
The following characteristics are obtained from these
values :
•
Average sample value:
•
Standard sample deviation:
•
Sample variation coefficient:
Group statistics
Several samples can be grouped together to form a sample
group. The following characteristics are obtained from these
values :
•
Average group value:
•
Standard group deviation:
•
Group varation coefficient:
S =
p
Σ
n
i =1
(x – x )
i
n–l
l
p
2
v =
p
S
p
x
p
100.
(x )
i
v =
g
S
g
x
g
100.
n
i:
Number of the sample
”Total fat” option:
i= 1, 2, ... m with m= 1, 2, ... 75
”Fatty acids” option:
i= 1, 2, ... m with m= 1, 2, ... 48
n:
Number of injections carried out per sample
”Total fat” option:
n= 1, 2, ... 9
”Fatty acids” option:
n= 1, 2, ... 6
m:
Number of samples that should be statistically evaluated; has
the same significance as the number of tests of the same sample
”Total fat” option:
m= 1, 2, ... 75
”Fatty acids” option:
m= 1, 2, ... 48
x
i
:
Mean sample value from the values (e.g., fat content) of the i
th
sample
x
g
:
Group mean value from mean sample values (x
i
) of all m samples
S
g
:
Group standard deviation of the sample relative to a random
sample.
:
Group variation coefficient of the sample (= relative standard
deviation)
Key to the group statistics:
v
g
Key to the sample statistics:
v
p
i:
Number of the injection
”Total fat” option:
i= 1, 2, ... n with n= 1, 2, ... 9
”Fatty acids” option:
i= 1, 2, ... n with n= 1, 2, ... 6
n:
Number of injections carried out per sample
”Total fat” option:
n= 1, 2, ... 9
”Fatty acids” option:
n= 1, 2, ... 6
x
i
:
Result (e.g., fat content) of the i
th
injection
x
P
:
Mean value from values (x
i
) of a sample
S
g
:
Standard deviation of the sample relative to a random sample
:
Variation coefficient of the sample (= relative standard
deviation)