Evaluating Measurement Accuracy: A Practical Approach

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Springer Science & Business Media, Jul 3, 2013 - Science - 313 pages
“Evaluating Measurement Accuracy, 2nd Edition” is intended for those who are concerned with measurements in any field of science or technology. It reflects the latest developments in metrology and offers new results, but is designed to be accessible to readers at different levels: scientists who advance the field of metrology, engineers and experimental scientists who use measurements as tool in their professions, students and graduate students in natural sciences and engineering, and, in parts describing practical recommendations, technicians performing mass measurements in industry, quality control, and trade. This book presents material from the practical perspective and offers solutions and recommendations for problems that arise in conducting real-life measurements.

This new edition adds a method for estimating accuracy of indirect measurements with independent arguments, whose development Dr. Rabinovich was able to complete very recently. This method, which is called the Method of Enumeration, produces estimates that are no longer approximate, similar to the way the method of reduction described in the first edition removed approximation in estimating uncertainty of indirect measurements with dependent arguments. The method of enumeration completes addressing the range of problems whose solutions signify the emergence of the new theory of accuracy of measurements. A new method is added for building a composition of histograms, and this method forms a theoretical basis for the method of enumeration.Additionally, as a companion to this book, a concise practical guide that assembles simple step-by-step procedures for typical tasks the practitioners are likely to encounter in measurement accuracy estimation is available at SpringerLink.

 

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Contents

General Concepts in the Theory of Measurements
1
Measuring Instruments and Their Properties
31
Statistical Methods for Experimental Data Processing
71
Direct Measurements
107
Indirect Measurements
151
Combined and Simultaneous Measurements
195
Combining the Results of Measurements
217
Examples of Measurements and Measurement Data Processing
235
The International Vocabulary of Metrology and the Guide to the Expression of Uncertainty in Measurement Analysis
269
Conclusion
287
Appendix
291
Glossary
297
References
303
Index
307
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About the author (2013)

The goal of Evaluating Measurement Accuracy: A Practical Approach is to present methods for estimating the accuracy of measurements performed in industry, trade, and scientific research. From developing the theory of indirect measurements to proposing new methods of reduction, transformation, and enumeration, this work encompasses the full range of measurement data processing. It includes many examples that illustrate the application of general theory to typical problems encountered in measurement practice. As a result, the book serves as an inclusive reference work for data processing of all types of measurements: single and multiple, combined and simultaneous, direct (both linear and nonlinear), and indirect (both dependent and independent). It is a working tool for experimental scientists and engineers of all disciplines who work with instrumentation. It is also a good resource for natural science and engineering students and for technicians performing measurements in industry.

A key feature of the book is a new general theory of measurements that is both well-grounded and oriented towards real-life needs of measurement practitioners. Although the traditional theory focuses on multiple measurements, single measurements are the ones most commonly used. This book presents methods for evaluating accuracy of single measurements and answers other fundamental questions not addressed adequately by the traditional theory, such as how to combine various components o

f measurement inaccuracy when evaluating the complete uncertainty of a measurement result.

For its second edition, the book adds significant new material to incorporate recent metrological developments and expand coverage, including:

The new method of enumeration of experimental data processing for independent indirect multiple measurements which is precise and does not rely on questionable assumptions.

The analysis of reliability of estimates of statistical parameters of samples from a normal distribution.

A significantly expanded analysis of two fundamental documents in modern metrology, the International Vocabulary of Metrology and the Guide to the Expression of Uncertainty in Measurement.

Completely rewritten sections devoted to accuracy of a single measurement taken with a chain of instruments and the Monte Carlo method.

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