An Introduction to Uncertainty in Measurement
Title | An Introduction to Uncertainty in Measurement PDF eBook |
Author | L. Kirkup |
Publisher | Cambridge University Press |
Total Pages | 196 |
Release | 2006-06-01 |
Genre | Science |
ISBN | 1139454900 |
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.
An Introduction to Measurement Uncertainty
Title | An Introduction to Measurement Uncertainty PDF eBook |
Author | Blair D Hall |
Publisher | |
Total Pages | |
Release | 2020 |
Genre | Measurement uncertainty (Statistics) |
ISBN | 9780473405823 |
"This introduction to measurement uncertainty is intended for metrology professionals working in calibration laboratories and metrology institutes, as well as students in tertiary-level science and engineering programmes. The subject matter is presented with an emphasis on developing models of the physical measurement process. The level of mathematics and statistics used is basic and is typically covered by high school studies"--Distributor's website.
Measurement Uncertainties
Title | Measurement Uncertainties PDF eBook |
Author | S. V. Gupta |
Publisher | Springer Science & Business Media |
Total Pages | 336 |
Release | 2012-01-13 |
Genre | Technology & Engineering |
ISBN | 3642209890 |
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 Error Analysis
Title | An Introduction to Error Analysis PDF eBook |
Author | John Robert Taylor |
Publisher | Univ Science Books |
Total Pages | 327 |
Release | 1997-01-01 |
Genre | Mathematics |
ISBN | 9780935702422 |
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The Uncertainty in Physical Measurements
Title | The Uncertainty in Physical Measurements PDF eBook |
Author | Paolo Fornasini |
Publisher | Springer Science & Business Media |
Total Pages | 291 |
Release | 2008-09-18 |
Genre | Technology & Engineering |
ISBN | 0387786503 |
The scienti c method is based on the measurement of di erent physical qu- tities and the search for relations between their values. All measured values of physical quantities are, however, a ected by uncertainty. Understanding the origin of uncertainty, evaluating its extent, and suitably taking it into account in data analysis, are fundamental steps for assessing the global accuracy of physical laws and the degree of reliability of their technological applications. The introduction to uncertainty evaluation and data analysis procedures is generally made in laboratory courses for freshmen. During my long-lasting teaching experience, I had the feeling of some sort of gap between the ava- able tutorial textbooks, and the specialized monographs. The present work aims at lling this gap, and has been tested and modi ed through a feedback interaction with my students for several years. I have tried to maintain as much as possible a tutorial approach, that, starting from a phenomenolo- cal introduction, progressively leads to an accurate de nition of uncertainty and to some of the most common procedures of data analysis, facilitating the access to advanced monographs. This book is mainly addressed to - dergraduate students, but can be a useful reference for researchers and for secondary school teachers. The book is divided into three parts and a series of appendices. Part I is devoted to a phenomenological introduction to measurement and uncertainty. In Chap.
Measurement Uncertainty
Title | Measurement Uncertainty PDF eBook |
Author | Ronald H. Dieck |
Publisher | ISA |
Total Pages | 292 |
Release | 2007 |
Genre | Mathematics |
ISBN | 9781556179150 |
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.
Measurement Uncertainty in Chemical Analysis
Title | Measurement Uncertainty in Chemical Analysis PDF eBook |
Author | Paul De Bièvre |
Publisher | Springer Science & Business Media |
Total Pages | 300 |
Release | 2003-01-17 |
Genre | Science |
ISBN | 9783540439905 |
It is now becoming recognized in the measurement community that it is as important to communicate the uncertainty related to a specific measurement as it is to report the measurement itself. Without knowing the uncertainty, it is impossible for the users of the result to know what confidence can be placed in it; it is also impossible to assess the comparability of different measurements of the same parameter. This volume collects 20 outstanding papers on the topic, mostly published from 1999-2002 in the journal "Accreditation and Quality Assurance." They provide the rationale for why it is important to evaluate and report the uncertainty of a result in a consistent manner. They also describe the concept of uncertainty, the methodology for evaluating uncertainty, and the advantages of using suitable reference materials. Finally, the benefits to both the analytical laboratory and the user of the results are considered.