The Uncertainty In Physical Measurements

Author : Paolo Fornasini
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 53,5 Mb
Release : 2008-09-18
Category : Technology & Engineering
ISBN : 9780387786506

Get Book

The Uncertainty in Physical Measurements by Paolo Fornasini Pdf

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.

Author : John Robert Taylor
Publisher : Univ Science Books
Page : 327 pages
File Size : 42,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0935702423

Get Book

An Introduction to Error Analysis by John Robert Taylor Pdf

Problems after each chapter

Author : S. V. Gupta
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 49,8 Mb
Release : 2012-01-13
Category : Technology & Engineering
ISBN : 9783642209895

Get Book

Measurement Uncertainties by S. V. Gupta Pdf

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.

Author : John Robert Taylor
Publisher : Unknown
Page : 270 pages
File Size : 48,7 Mb
Release : 1982
Category : Error analysis (Mathematics)
ISBN : 0198557086

Get Book

An Introduction to Error Analysis by John Robert Taylor Pdf

Author : Shri Krishna Kimothi
Publisher : Quality Press
Page : 398 pages
File Size : 41,6 Mb
Release : 2001-11-01
Category : Business & Economics
ISBN : 9781636941813

Get Book

The Uncertainty of Measurements by Shri Krishna Kimothi Pdf

The uncertainty of measurement results is drawing attention of managers, metrologists and customers. The accuracy of measurements affects all of us in trade, commerce, safety, health care environmental protection and more. The quality of these measurements are regulated by a variety of government agencies. Measurement also plays an important role in manufacturing and service organizations. Use this book to learn more about metrology and the need for reliable measurements. You can also learn about measurement system and quality of measurement systems, objectives and methods. Statistical techniques in metrology are also explained. Examples of measurement data and random variables, probability density functions, sampling distribution, statistical estimation degrees of freedom and regression are included. An entire chapter is devoted to measurement errors. The book goes in-depth into explaining national and international measurement systems and standards, and includes a complete chapter on calibration and measurement trace ability. Measurement Uncertainty will show how to evaluate various uncertainties in measurements using several approaches including international consensus. Calibration laboratories can look specifically at the chapter on that profession to guide them in their measurement improvements. Kimothi also looks at specific industries and their measurement capabilities and includes examples of R&R studies. A great resource for the CQE, CQT, CCT, CSSBB certification exams!

Author : John R. Taylor
Publisher : Sterling Publishing Company
Page : 356 pages
File Size : 49,9 Mb
Release : 1997-07-14
Category : Mathematics
ISBN : 093570275X

Get Book

Introduction To Error Analysis by John R. Taylor Pdf

This text introduces error analysis through simple and familiar examples from carpentry and well-known historic experiments where an understanding of errors was crucial to the success of the experiment. It is designed as a reference for students in the physical sciences and engineering.

Author : L. Kirkup,R. B. Frenkel
Publisher : Cambridge University Press
Page : 196 pages
File Size : 52,9 Mb
Release : 2006-06-01
Category : Science
ISBN : 9781139454902

Get Book

An Introduction to Uncertainty in Measurement by L. Kirkup,R. B. Frenkel Pdf

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.

Author : Shri Krishna Kimothi
Publisher : Quality Press
Page : 415 pages
File Size : 40,5 Mb
Release : 2001-11-01
Category : Business & Economics
ISBN : 9780873890854

Get Book

The Uncertainty of Measurements by Shri Krishna Kimothi Pdf

The uncertainty of measurement results is drawing attention of managers, metrologists and customers. The accuracy of measurements affects all of us in trade, commerce, safety, health care environmental protection and more. The quality of these measurements are regulated by a variety of government agencies. Measurement also plays an important role in manufacturing and service organizations. Use this book to learn more about metrology and the need for reliable measurements. You can also learn about measurement system and quality of measurement systems, objectives and methods. Statistical techniques in metrology are also explained. Examples of measurement data and random variables, probability density functions, sampling distribution, statistical estimation degrees of freedom and regression are included. An entire chapter is devoted to measurement errors. The book goes in-depth into explaining national and international measurement systems and standards, and includes a complete chapter on calibration and measurement trace ability. Measurement Uncertainty will show how to evaluate various uncertainties in measurements using several approaches including international consensus. Calibration laboratories can look specifically at the chapter on that profession to guide them in their measurement improvements. Kimothi also looks at specific industries and their measurement capabilities and includes examples of R&R studies. A great resource for the CQE, CQT, CCT, CSSBB certification exams!

Author : Jacques-Emile Dubois,Nahum Gershon
Publisher : Springer
Page : 0 pages
File Size : 49,6 Mb
Release : 2011-12-14
Category : Science
ISBN : 364280201X

Get Book

Modeling Complex Data for Creating Information by Jacques-Emile Dubois,Nahum Gershon Pdf

J.-E DUBOIS and N. GERSHON As with Volume 1 in this series, this book was inspired by the Symposium on "Communications and Computer Aided Systems" held at the 14th International CODATA Conference in September 1994 in Chambery, France. This book was conceived and influenced by the discussions at the Symposium and most of the contributions were written following the Conference. Whereas the first volume dealt with the numerous challenges facing the information revolution, especially its communication aspects, this one provides an insight into the recent tools provided by computer science for handling the complex aspects of scientific and technological data. This volume, "Modeling Complex Data for Creating Information," is concerned with real and virtual objects often involved with data handling processes encountered frequently in modeling physical phenomena and systems behavior. Topics concerning modeling complex data for creating information include: • Object oriented approach for structuring data and knowledge • Imprecision and uncertainty in information systems • Fractal modeling and shape and surface processing • Symmetry applications for molecular data The choice of these topics reflects recent developments in information systems technologies. One example is object oriented technology. Recently, research, development and applications have been using object-oriented modeling for computer handling of data and data management. Object oriented technology offers increasingly easy-to-use software applications and operating systems. As a result, science and technology research and applications can now provide more flexible and effective services.

Author : C.F Dietrich
Publisher : Routledge
Page : 554 pages
File Size : 50,7 Mb
Release : 2017-07-12
Category : Science
ISBN : 9781351406284

Get Book

Uncertainty, Calibration and Probability by C.F Dietrich Pdf

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.

Author : Simona Salicone
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 50,6 Mb
Release : 2007-06-04
Category : Mathematics
ISBN : 9780387463285

Get Book

Measurement Uncertainty by Simona Salicone Pdf

The expression of uncertainty in measurement poses a challenge since it involves physical, mathematical, and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (the GUM Instrumentation Standard). This text presents an alternative approach. It makes full use of the mathematical theory of evidence to express the uncertainty in measurements. Coverage provides an overview of the current standard, then pinpoints and constructively resolves its limitations. Numerous examples throughout help explain the book’s unique approach.

Author : Semyon G. Rabinovich
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 43,5 Mb
Release : 2006-12-26
Category : Technology & Engineering
ISBN : 9780387291437

Get Book

Measurement Errors and Uncertainties by Semyon G. Rabinovich Pdf

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.

Author : Masatoshi Kajita
Publisher : Programme: Iop Expanding Physi
Page : 120 pages
File Size : 49,5 Mb
Release : 2019-04-09
Category : Technology & Engineering
ISBN : 0750323264

Get Book

Measurement, Uncertainty and Lasers by Masatoshi Kajita Pdf

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.

Author : Harry H. Ku
Publisher : Unknown
Page : 9 pages
File Size : 53,8 Mb
Release : 1990
Category : Distribution (Probability theory)
ISBN : OCLC:24327882

Get Book

Uncertainty and Accuracy in Physical Measurements by Harry H. Ku Pdf

Author : Ifan Hughes,Thomas Hase
Publisher : Oxford University Press
Page : 153 pages
File Size : 40,6 Mb
Release : 2010-07
Category : Mathematics
ISBN : 9780199566327

Get Book

Measurements and Their Uncertainties by Ifan Hughes,Thomas Hase Pdf

This short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.