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Measurement Errors and Uncertainties

Theory and Practice

  • Book
  • © 2005

Overview

Authors:
  1. Semyon G. Rabinovich

    1. Basking Ridge, USA

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  • A new result in the theory of indirect measurements
  • A new section describing relevant modern trends in probability theory
  • A new Conclusions chapter, describing an important gap that still exists in Metrology and possible approaches to fill this gap
  • A section discussing topics in International Vocabulary of Basic and General Terms in Metrology
  • A section on the Guide to the Expression of Uncertainty in Measurement
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. General Information About Measurements

    Pages 1-28

  3. Measuring Instruments and Their Properties

    Pages 29-60

  4. Prerequisites for the Analysis of the Inaccuracy of Measurements and for Synthesis of Their Components

    Pages 61-90

  5. Statistical Methods for Experimental Data Processing

    Pages 91-114

  6. Direct Measurements

    Pages 115-157

  7. Indirect Measurements

    Pages 159-178

  8. Examples of Measurements and Measurement Data Processing

    Pages 179-199

  9. Combined Measurements

    Pages 201-218

  10. Combining the Results of Measurements

    Pages 219-235

  11. Calculation of the Errors of Measuring Instruments

    Pages 237-261

  12. Problems in the Theory of Calibration

    Pages 263-281

  13. Conclusion

    Pages 283-287

  14. Back Matter

    Pages 289-308
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Keywords

About this book

The major objective of this book is to give methods for estimating errors and uncertainties of real measurements: measurements that are performed in industry, commerce, and experimental research. This book is needed because the existing theory of measurement errors was historically developed as an abstract mathematical discipline. As a result, this theory allows estimation of uncertainties of some ideal measurements only and is not applicable to most practical cases. In particular, it is not applicable to single measurements. This situation did not bother mathematicians, whereas engineers, not being bold enough to assert that the mathematical theory of errors cannot satisfy their needs, solved their particular problems in one or another ad hoc manner. Actually, any measurement of a physical quantity is not abstract, but it involves an entirely concrete procedure that is always implemented with concrete te- nical devices—measuring instruments—under concrete conditions. Therefore, to obtain realistic estimates of measurement uncertainties, mathematical methods must be supplemented with methods that make it possible to take into account data on properties of measuring instruments, the conditions under which measu- ments are performed, the measurement procedure, and other features of measu- ments. The importance of the methods of estimating measurement inaccuracies for practice can scarcely be exaggerated. Indeed, in another stage of planning a m- surement or using a measurement result, one must know its error limits or unc- tainty. Inaccuracy of a measurement determines its quality and is related to its cost.

Reviews

Reviews from previous editions
"Extremely useful to meteorologists and to anyone interested in measurement errors"
(MEASUREMENT SCIENCE AND TECHNOLOGY)

"I suggest that every technical library should own a copy of Measurement Errors. Serious experimentalists whose interests are broad will surely want to examine the book with the intent of buying it".
(Applied Mechanics Review)

Authors and Affiliations

  • Basking Ridge, USA

    Semyon G. Rabinovich

About the author

Rabinovich was head of the Laboratory of Theoretical Metrology at the All-Union State Research Institute of Metrology in the former Soviet Union. His theory of galvanometrical self-balancing instruments led to the creation of numerous new measuring devices.

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