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View Paper |
Session Topic: 1B, Uncertainty Session |
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Paper Title: Modeling of Measurements for the Evaluation of the Measurement Uncertainty |
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Date & Time: MONDAY, August 5, 2002 |
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10:45am - 12:15pm
PARALLEL SESSIONS - SESSION 1 |
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Speaker: Klaus-Dieter Sommer
LMET |
Email: klaus-dieter.sommer@lmet.de |
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The modeling of a measurement is an essential part of the evaluation of the measurement uncertainty in accordance with the “Guide to the Expression of Uncertainty in Measurement“ (GUM). It is the aim of the modeling process to establish mathematically the relationship between the measurand and all input quantities which may contribute to the uncertainty associated with the measurement result. This relationship serves as a basis for the calculation of the sensitivity coefficients and for the propagation of the uncertainty contributions. In particular, it makes a computer-aided determination of the uncertainty budget possible. To practitioners, however, modeling appears to be the most difficult problem in uncertainty evaluations in accordance with the GUM. A simple and widely applicable modeling concept has now been developed. It is based on the mathematical formulation of the method of measurement used, e.g. the substitution method. This concept can be summarized as follows:
1. description of the measurement and identification of the method used;
2. establishment in mathematical terms of the cause-and-effect relationship of the ideal measurement;
3. introduction of all corrections and of the quantities influencing the measurement result ;
4. conversion of the cause-and-effect relationship of the real measurement into the model equation.
This concept is applicable to most of the measurements performed, starting with calibration in the field of geometrical quantities and ending with the direct measurement of any process parameter. The comprehensibility and applicability of this concept have been successfully proved in more than ten training courses on uncertainty evaluation. |
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