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FISCHERSCOPE
®
X-RAY
191
Addendum
23
Addendum
23.1 Description of the Characteristic Statistical Parameters
23.1.1 Block Result
Parameter
Description
Equation
Mean value
Mean value of the single readings,
called arithmetic mean value .
The arithmetic mean value is the
summation of all single readings
of a measurement series (block/
group), divided by the number of
measurements
n
.
: Single readings
: Number of measurements per
block
Confidence
interval
q
Each measurement device produces
random measurement errors. With a
certain probability (confidence
level), the true value of the
measured parameter lies in an
interval (double-sided confidence
interval) around the measured mean
value
of
a
measurement
series
(block/group). The borders of this
interval are at a distance
q
from the
true value
.
q
is calculated according to the
equation below assuming a normal
distribution for a confidence level of
95 %:
t
:
Quantile of the Student’s t-distri-
bution (Student’s factor), can be
obtained from tables in
common publications [1]
s
:
Standard deviation
n
:
Number of the measurements
per block
Standard
deviation
s
The standard deviation is a measure
of the dispersion of the single
readings of a measurement series
about the mean value.
:
Mean value of the block
: Single readings
n
:
Number of measurements per
block
x
x
x
i
x
1
n
---
x
i
i 1
=
n
=
x
i
n
x
x q
–
x q
+
q
t
f 1 0 025
–
;
s
n
-------
=
s
1
n 1
–
------------
x x
i
–
2
i 1
=
n
=
x
x
i
Summary of Contents for FISCHERSCOPE X-RAY XDLM 231
Page 8: ...6 FISCHERSCOPE X RAY Table of Contents...
Page 14: ...12 FISCHERSCOPE X RAY Safety Information...
Page 30: ...28 FISCHERSCOPE X RAY Set up...
Page 36: ...34 FISCHERSCOPE X RAY WinFTM File Structure...
Page 52: ...50 FISCHERSCOPE X RAY User Interface of the WinFTM Software...
Page 134: ...132 FISCHERSCOPE X RAY Def MA...
Page 146: ...144 FISCHERSCOPE X RAY Programming Coordinates for Automatic Measurements XDLM 237...
Page 186: ...184 FISCHERSCOPE X RAY Pattern Recognition XDLM 237...
Page 192: ...190 FISCHERSCOPE X RAY Cleaning and Maintenance...
Page 202: ...200 FISCHERSCOPE X RAY Addendum...
Page 228: ...226 FISCHERSCOPE X RAY WinFTM SUPER For the Experienced X RAY User...
Page 229: ...FISCHERSCOPE X RAY 227...
Page 232: ......