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Statistical Interpretation of Key Comparison Reference Value and Degrees of Equivalence
R N Kacker1, R U Datla1, A C Parr1
1National Institute of Standards and Technology, Gaithersburg, MD 20899-0001, USA.
Summary
This study interprets the statistical outputs of International Committee of Weights and Measures (CIPM) key comparisons. Three statistical models are presented for analyzing laboratory effects and their impact on measurement results.
Area of Science:
- Metrology
- Statistical Analysis
- International Standards
Background:
- CIPM key comparisons are crucial for global measurement harmonization.
- BIPM publications lack detailed statistical interpretation guidance for comparison outputs.
- Key comparison outputs include reference values, degrees of equivalence, and uncertainties.
Purpose of the Study:
- To provide statistical interpretation frameworks for CIPM key comparison outputs.
- To analyze the impact of laboratory-specific effects on measurement data.
- To offer guidance on selecting appropriate statistical models.
Main Methods:
- Statistical analysis of CIPM key comparison data.
- Development and application of three distinct statistical models: nonexistent, random, and systematic laboratory-effects models.
- Evaluation of model performance in interpreting comparison outcomes.
Main Results:
- The study outlines how to interpret key comparison reference values and degrees of equivalence.
- Different statistical models yield varying insights into laboratory performance and data consistency.
- The choice of model significantly influences the understanding of measurement uncertainties and equivalence.
Conclusions:
- Statistical interpretation of CIPM key comparison data is essential for accurate metrology.
- The proposed models offer a robust framework for understanding laboratory effects.
- This work enhances the scientific rigor of international measurement comparisons.
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