Measurement Theory for Engineers

Ilya Gertsbakh

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
30 November 2010

Probability & statistics; Stochastics; Mensuration & systems of measurement; Maths for engineers; Security & fire alarm systems

The material in this book was first presented as a one-semester graduate course in Measurement Theory for M.

Sc. students of the Industrial Engineering De partment of Ben Gurion University in the 2000/2001 academic year. The book is devoted to various aspects of the statistical analysis of data arising in the process of measurement. We would like to stress that the book is devoted to general problems arising in processing measurement data and does not deal with various aspects of special measurement techniques. For example, we do not go into the details of how special physical parameters, say ohmic resistance or temperature, should be measured. We also omit the accuracy analysis of particular measurement devices. The Introduction (Chapter 1) gives a general and brief description of the measurement process, defines the measurand and describes different kinds of the measurement error. Chapter 2 is devoted to the point and interval estimation of the popula tion mean and standard deviation (variance). It also discusses the normal and uniform distributions, the two most widely used distributions in measurement. We give an overview of the basic rules for operating with means and variances of sums of random variables. This information is particularly important for combining measurement results obtained from different sources. There is a brief description of graphical tools for analyzing sampIe data. This chapter also presents the round-off rules for data presentation.

By: Ilya Gertsbakh
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of hardcover 1st ed. 2003
Dimensions: Height: 235mm, Width: 155mm, Spine: 9mm
Weight: 454g
ISBN: 9783642055096
ISBN 10: 3642055095
Pages: 150
Publication Date: 30 November 2010
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active

1 Introduction.- 2 Mean and Standard Deviation.- 3 Comparing Means and Variances.- 4 Sources of Uncertainty: Process and Measurement Variability.- 5 Measurement Uncertainty: Error Propagation Formula.- 6 Calibration of Measurement Instruments.- 7 Collaborative Studies.- 8 Measurements in Special Circumstances.- Answers and Solutions to Exercises.- Appendix A: Normal Distribution.- Appendix B: Quantiles of the Chi-Square Distribution.- Appendix C: Critical Values of the F—distribution.- References.

Reviews for Measurement Theory for Engineers

From the reviews: This textbook deals with the principal issues of measurement theory. Each topic starts with an informal introduction followed by an example, the rigorous problem formulation, solution method, and a detailed numerical solution. ... This book is intended as a text for graduate students and a reference for researchers and industrial experts specializing in measurement data analysis for quality control and industrial process improvement. (Ivan Krivy, Zentralblatt MATH, Vol. 1018, 2003)