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Measurement Uncertainties

Measurement Uncertainties
Author: S. V. Gupta
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2012-01-13
Genre: Technology & Engineering
ISBN: 3642209890

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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.


An Introduction to Uncertainty in Measurement

An Introduction to Uncertainty in Measurement
Author: L. Kirkup
Publisher: Cambridge University Press
Total Pages: 196
Release: 2006-06-01
Genre: Science
ISBN: 1139454900

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Measurement shapes scientific theories, characterises improvements in manufacturing processes and promotes efficient commerce. In concert with measurement is uncertainty, and students in science and engineering need to identify and quantify uncertainties in the measurements they make. This book introduces measurement and uncertainty to second and third year students of science and engineering. Its approach relies on the internationally recognised and recommended guidelines for calculating and expressing uncertainty (known by the acronym GUM). The statistics underpinning the methods are considered and worked examples and exercises are spread throughout the text. Detailed case studies based on typical undergraduate experiments are included to reinforce the principles described in the book. This guide is also useful to professionals in industry who are expected to know the contemporary methods in this increasingly important area. Additional online resources are available to support the book at www.cambridge.org/9780521605793.


Measurement Errors and Uncertainties

Measurement Errors and Uncertainties
Author: Semyon G. Rabinovich
Publisher: Springer Science & Business Media
Total Pages: 313
Release: 2006-12-26
Genre: Technology & Engineering
ISBN: 0387291431

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A practical reference on theory and methods of estimating measurement errors and uncertainty for both scientists and engineers in industry and experimental research. Building on the fundamentals of measurement theory, this book offers a wealth of practial recommendations and procedures. It differs from the majority of books in that it balances coverage of probabilistic methods with detailed information on the characterization, calibration, standardization and limitations of measuring instruments, with specific examples from both electrical and mechanical systems. In addition to a general updating to reflect current research, new material in this edition includes increased coverage of indirect measurements, with a new, simpler, more efficient method for this class of measurements.


Measurements and their Uncertainties

Measurements and their Uncertainties
Author: Ifan Hughes
Publisher: OUP Oxford
Total Pages: 152
Release: 2010-07-02
Genre: Science
ISBN: 0191576565

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This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering. It assumes no prior knowledge of statistics. It introduces the necessary concepts where needed, with key points illustrated with worked examples and graphic illustrations. In contrast to traditional mathematical treatments it uses a combination of spreadsheet and calculus-based approaches, suitable as a quick and easy on-the-spot reference. The emphasis throughout is on practical strategies to be adopted in the laboratory. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computer analysis. The general approach uses the chi-square statistic extensively. Particular attention is given to hypothesis testing and extraction of parameters and their uncertainties by fitting mathematical models to experimental data. Routines implemented by most contemporary data analysis packages are analysed and explained. The book finishes with a discussion of advanced fitting strategies and an introduction to Bayesian analysis.


Measurement Uncertainties in Science and Technology

Measurement Uncertainties in Science and Technology
Author: Michael Grabe
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2005-03-10
Genre: Science
ISBN: 9783540209447

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In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß` error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.


Measurement, Uncertainty and Lasers

Measurement, Uncertainty and Lasers
Author: Masatoshi Kajita
Publisher: Programme: Iop Expanding Physi
Total Pages: 120
Release: 2019-04-09
Genre: Technology & Engineering
ISBN: 9780750323260

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Measurement of values are fundamental in science and technology. Masatoshi's book includes the importance of uncertainty, accuracy and precision of measurement and explains how laser technology has helped improve measurement and in redefining standards. SI units, standards and the importance of lasers for measurement in modern metrology are covered, including the redefinition of the SI units over time.


An Introduction to Error Analysis

An Introduction to Error Analysis
Author: John Robert Taylor
Publisher: Univ Science Books
Total Pages: 327
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780935702422

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Problems after each chapter


Measurement Uncertainty

Measurement Uncertainty
Author: Ronald H. Dieck
Publisher: ISA
Total Pages: 292
Release: 2007
Genre: Mathematics
ISBN: 9781556179150

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Literally an entire course between two covers, Measurement Uncertainty: Methods and Applications, Fourth Edition, presents engineering students with a comprehensive tutorial of measurement uncertainty methods in a logically categorized and readily utilized format. The new uncertainty technologies embodied in both U.S. and international standards have been incorporated into this text with a view toward understanding the strengths and weaknesses of both. The book is designed to also serve as a practical desk reference in situations that commonly confront an experimenter. The text presents the basics of the measurement uncertainty model, non-symmetrical systematic standard uncertainties, random standard uncertainties, the use of correlation, curve-fitting problems, and probability plotting, combining results from different test methods, calibration errors, and uncertainty propagation for both independent and dependent error sources. The author draws on years of experience in industry to direct special attention to the problem of developing confidence in uncertainty analysis results and using measurement uncertainty to select instrumentation systems.


Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results (rev. Ed. )

Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results (rev. Ed. )
Author: Barry N. Taylor
Publisher: DIANE Publishing
Total Pages: 25
Release: 2009-11
Genre: Science
ISBN: 1437915566

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Results of measurements and conclusions derived from them constitute much of the technical information produced by the National Institute of Standards and Technology (NIST). In July 1992 the Director of NIST appointed an Ad Hoc Committee on Uncertainty Statements and charged it with recommending a policy on this important topic. The Committee concluded that the CIPM approach could be used to provide quantitative expression of measurement that would satisfy NIST¿s customers¿ requirements. NIST initially published a Technical Note on this issue in Jan. 1993. This 1994 edition addresses the most important questions raised by recipients concerning some of the points it addressed and some it did not. Illustrations.


Uncertainty, Calibration and Probability

Uncertainty, Calibration and Probability
Author: C.F Dietrich
Publisher: Routledge
Total Pages: 554
Release: 2017-07-12
Genre: Science
ISBN: 1351406280

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All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range. The more precise the measurement, the smaller the range of uncertainty. Uncertainty, Calibration and Probability is a comprehensive treatment of the statistics and methods of estimating these calibration uncertainties. The book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also discusses sources of measurement errors and curve fitting with numerous examples of uncertainty case studies. Many useful tables and computational formulae are included as well. All formulations are discussed and demonstrated with the minimum of mathematical knowledge assumed. This second edition offers additional examples in each chapter, and detailed additions and alterations made to the text. New chapters consist of the general theory of uncertainty and applications to industry and a new section discusses the use of orthogonal polynomials in curve fitting. Focusing on practical problems of measurement, Uncertainty, Calibration and Probability is an invaluable reference tool for R&D laboratories in the engineering/manufacturing industries and for undergraduate and graduate students in physics, engineering, and metrology.