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Chapter 5
skewness
kurtosis
In the above formulae K and X depend on the distribution being calculated as
shown in this table:
The various derived diameters are related by:
For "mono-size" distributions such as latex, the distribution mean is reported as
the geometric mean of the size class and standard deviation, skewness and kur-
tosis are reported as zero.
The procedure used for other parameters of the distribution is to create a spline fit
to the fundamental result. Intermediate values are then read from this curve allow-
ing interpolation of percentile points which do not coincide with the measurement
size band boundaries.
Page 5-20
3
X
d
–
d
i
i
--------------------------------- -
Skew
=
3
X
i
4
X
d
–
d
i
i
--------------------------------- - 3
Kurt
=
4
X
i
Distribution
Volume
Surface
Length
Number
D m 0
m n
–
D m n
---------------------- -
=
D n 0
Viewing measurement results
3
D K
+
3 K
–
d d
----------------------------------------------------------------------- -
=
3
4
D K
+
4 K
–
------------------------------------------------------------------------------------------------------------------------ - 3
–
=
K
3
2
1
0
m
n
2
2
+
3
3
3
d 4D K
+
3 K
+
3d
4
X
i
V
i
V
/d
i
i
2
V
/d
i
i
3
V
/d
i
i
MAN 0474
2
+
6d
–
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