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Advanced Techniques in Evaluation of Measurement Uncertainty

A Prelude

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Handbook of Metrology and Applications

Abstract

This chapter briefly introduces a prelude that encompasses the history of measurement and measurement uncertainty, tracing the development of modern metrology from ancient Egypt, to the early renaissance with the advent of calculus by Newton, to the late renaissance with the advent of statistics by Laplace, to the dawn of the industrial age with Kelvin, to the post World War II age of Kline and McClintock, and finally to the introduction of the Guide to the Expression of Uncertainty in Measurements also known as the GUM and its supplements in the early part of the twenty-first century. The utility and functionality of the GUM, both with its current limitations and its future outlook for the evolution of measurement uncertainty, are contextualized and discussed.

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References

  • Bich W, Cox M, Michotte C (2016) Towards a new GUM – an update. Metrologia 53:S149–S159. https://doi.org/10.1088/0026-1394/53/5/S149

    Article  ADS  Google Scholar 

  • BIPM, IEC, IFCC, ILAC, ISO, IUPAP, and OIML (2008a) Evaluation of measurement data – guide to the expression of uncertainty in measurement, tech. rep., JCGM/WG1 GUM. Revised 1st edition –https://www.bipm.org/en/publications/guides/

  • BIPM, IEC, IFCC, ILAC, ISO, IUPAP, and OIML (2008b) Evaluation of measurement data – supplement 1 to the “Guide to the expression of uncertainty in measurement” – propogation of distributions using a Monte Carlo method, tech. rep., JCGM/WG1 GUM Supplement 1. 1st edition – https://www.bipm.org/en/publications/guides/

  • BIPM, IEC, IFCC, ILAC, ISO, IUPAP, and OIML (2011) Evaluation of measurement data – supplement 2 to the “Guide to the expression of uncertainty in measurement” – propogation of distributions using a Monte Carlo method, tech. rep., JCGM/WG1 GUM Supplement 2. 1st edition – https://www.bipm.org/en/publications/guides/

  • Cox MG, van der Veen AMH (2021) Understanding and treating correlated quantities in measurement uncertainty evaluation. In: van der Veen AMH, Cox MG (eds) Good practice in evaluating measurement uncertainty: compendium of examples. National Physical Laboratory (UK), pp 29–44. https://doi.org/10.5281/zenodo.5142180

    Chapter  Google Scholar 

  • Kelvin WT (1891) Popular lectures and addresses, vol 1, 2nd edn. Macmillan and Company. isbn:0598775994

    Google Scholar 

  • Klauenberg K, Elster C (2016) Markov chain Monte Carlo methods: an introductory example. Metrologia 57:S32–S39. https://doi.org/10.1088/0026-1394/53/1/S32

    Article  Google Scholar 

  • Kline S, Mcclintock F (1953) Describing uncertainties in single-sample experiments. Mech Eng 75:3–8

    Google Scholar 

  • Ramnath V (2020) Comparison of straight line curve approaches for determining parameter variances and covariances. Int J Metrol Quality Eng 11(14):1–16. https://doi.org/10.1051/ijmqe/2020011

    Article  Google Scholar 

  • Ramnath V (2022) Determining the covariance matrix for a nonlinear implicit multivariate measurement equation uncertainty analysis. Int J Metrol Quality Eng:1–15. https://doi.org/10.1051/ijmqe/2022008

  • Stigler SM (1986) The history of statistics: the measurement of uncertainty before 1900. Belknap Press. isbn:067440341X

    MATH  Google Scholar 

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Correspondence to N. Garg .

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Garg, N., Ramnath, V., Yadav, S. (2023). Advanced Techniques in Evaluation of Measurement Uncertainty. In: Aswal, D.K., Yadav, S., Takatsuji, T., Rachakonda, P., Kumar, H. (eds) Handbook of Metrology and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-99-2074-7_123

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