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Combining Results From Multiple Evaluations of the Same Measurand
Rüdiger Kessel1, Raghu N Kacker1, Klaus-Dieter Sommer2
1National Institute of Standards and Technology, Gaithersburg, MD 20899-8910 USA.
Summary
This study proposes a new method for combining multiple measurement results into a single, compatible value. This approach ensures the combined result aligns with the uncertainty and compatibility standards defined in metrology.
Area of Science:
- Metrology and Measurement Science
- Statistical Analysis in Science
- Uncertainty Quantification
Background:
- Measurement results include a value and standard uncertainty, representing a probability distribution.
- Metrological compatibility assesses the agreement between multiple measurements of the same quantity.
- Combining results from different evaluations is often necessary in scientific and industrial applications.
Purpose of the Study:
- To introduce a novel approach for calculating a combined measurement result.
- To ensure the proposed combined result is metrologically compatible with individual contributing results.
- To provide a framework for harmonizing multiple evaluations of the same measurand.
Main Methods:
- Leveraging the principles outlined in the Guide to the Expression of Uncertainty in Measurement (GUM).
- Applying the concept of metrological compatibility as defined in the International Vocabulary of Metrology, third edition (VIM3).
- Developing a specific algorithm or procedure for combining measurement data.
Main Results:
- A method for determining a combined measurement result has been proposed.
- The proposed method yields a combined result that is demonstrably compatible with the input measurements.
- The approach facilitates the synthesis of information from multiple measurement sources.
Conclusions:
- The developed approach offers a reliable way to obtain a unified measurement result.
- This method enhances the consistency and comparability of scientific data.
- It addresses the need for compatible combined results in metrology.
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