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Measurement Uncertainties

Physical Parameters and Calibration of Instruments

  • Book
  • © 2012

Overview

Authors:
  1. S. V. Gupta

    1. Delhi, India

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  • Helps to evaluate measurement results with respect to uncertainty Presents details of uncertainty calculations for many physical parameters
  • Gives guidance to the practicing metrologists
  • Helps to establish international standards to evaluate the quality of data from various laboratories to compare national metrology institutes
  • Includes a large number of numerical examples for practical exercise
  • Discusses probability distributions and their properties
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xix
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  2. Some Important Definitions

    • S. V. Gupta
    Pages 1-29

  3. Distribution Functions

    • S. V. Gupta
    Pages 31-51

  4. Other Probability Functions

    • S. V. Gupta
    Pages 53-74

  5. Evaluation of Measurement Data

    • S. V. Gupta
    Pages 75-108

  6. Propagation of Uncertainty

    • S. V. Gupta
    Pages 109-129

  7. Uncertainty and Calibration of Instruments

    • S. V. Gupta
    Pages 131-151

  8. Calculation of Uncertainty

    • S. V. Gupta
    Pages 153-176

  9. Uncertainty in Calibration of a Surface Plate (Fitting a Plane)

    • S. V. Gupta
    Pages 177-211

  10. Uncertainty in Mass Measurement

    • S. V. Gupta
    Pages 213-228

  11. Uncertainty in Volumetric Measurement

    • S. V. Gupta
    Pages 229-252

  12. Uncertainty in Calibration of Some More Physical Instruments

    • S. V. Gupta
    Pages 253-278

  13. Uncertainty in Calibration of Electrical Instruments

    • S. V. Gupta
    Pages 279-294

  14. Back Matter

    Pages 295-321
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Keywords

About this book

This book fulfills the global need to evaluate measurement results along with the associated uncertainty. In the book, together with the details of uncertainty calculations for many physical parameters, probability distributions and their properties are discussed. Definitions of various terms are given and will help the practicing metrologists to grasp the subject. The book helps to establish international standards for the evaluation of the quality of raw data obtained from various laboratories for interpreting the results of various national metrology institutes in an international inter-comparisons. For the routine calibration of instruments, a new idea for the use of pooled variance is introduced. The uncertainty calculations are explained for (i) independent linear inputs, (ii) non-linear inputs and (iii) correlated inputs. The merits and limitations of the Guide to the Expression of Uncertainty in Measurement (GUM) are discussed. Monte Carlo methods for the derivation of the output distribution from the input distributions are introduced. The Bayesian alternative for calculation of expanded uncertainty is included. A large number of numerical examples is included.

Authors and Affiliations

  • Delhi, India

    S. V. Gupta

About the author

CV supplied by the author: I have been connected with metrology for the last 56 years. I have 37 years of experience in measurement science at the National Physical Laboratory (NPL), New Delhi, India. I am among the first to write about uncertainty in measurements and Glossary of Metrological terms-documents of the Commonwealth Sciences Council CSC(80) MS-8 and various papers in Indian an International journals. I retired from National Physical Laboratory from the post of Scientist in-charge Mass, Volume, Density and Viscosity measurements in 1991. I have served various countries like Cyprus, Syria, Kuwait, Vietnam and Oman as UNIDO advisor and established their measurement laboratories and trained the staff of concerned department in measurement science. I have also served as Director Weights and Measures (Legal Metrology) for a few years and brought the Standards of Weights and Measures (W&M) Act 1976 and developed various sub-ordinate legislations for effective implementation of the Act. Many neighboring and gulf countries have the Weights and Measures Acts based on India’s W&M ACT of 1976. I am in constant touch with leading Metrology Laboratories of the world. B Academics: I am M.Sc. (Physics); M.Sc. (Mathematics); Ph.D. (Physics) with very good academic records.

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