Measurements and Their Uncertainties

A Practical Guide to Modern Error Analysis
Author: Ifan Hughes,Thomas Hase
Publisher: Oxford University Press
ISBN: 0199566321
Category: Mathematics
Page: 136
View: 7483
This short book is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed, with the necessary concepts introduced where needed, and illustrated graphically. In contrast to traditional treatments a combination of spreadsheet and calculus-based approaches is used. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. The emphasisthroughout is on practical strategies to be adopted in the laboratory. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computeranalysis.

An Introduction to Error Analysis

The Study of Uncertainties in Physical Measurements
Author: John Robert Taylor
Publisher: Univ Science Books
ISBN: 9780935702422
Category: Mathematics
Page: 327
View: 6656
Problems after each chapter

Data Reduction and Error Analysis for the Physical Sciences

Author: Philip R. Bevington,D. Keith Robinson
Publisher: N.A
ISBN: 9780071199261
Category: Data reduction
Page: 320
View: 6237
The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical techniques. Computer programs that support these techniques will be available on an accompanying website in both Fortran and C++.

An Introduction to Uncertainty in Measurement

Using the GUM (Guide to the Expression of Uncertainty in Measurement)
Author: L. Kirkup,R. B. Frenkel
Publisher: Cambridge University Press
ISBN: 1139454900
Category: Science
Page: 233
View: 2811
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

A Student's Guide to Data and Error Analysis

Author: Herman J. C. Berendsen
Publisher: Cambridge University Press
ISBN: 1139497855
Category: Technology & Engineering
Page: N.A
View: 8903
All students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.

A Practical Guide to Data Analysis for Physical Science Students

Author: Louis Lyons
Publisher: Cambridge University Press
ISBN: 9780521424639
Category: Science
Page: 95
View: 6793
This textbook is intended for undergraduates who are carrying out laboratory experiments in the physical sciences for the first time. It is a practical guide on how to analyze data and estimate errors. The necessary formulas for performing calculations are given, and the ideas behind them are explained, although this is not a formal text on statistics. Specific examples are worked through step by step in the text. Emphasis is placed on the need to think about whether a calculated error is sensible. Students should take this book with them to the laboratory, and the format is intended to make this convenient. The book will provide the necessary understanding of what is involved, should inspire confidence in the method of estimating errors, and enable numerical calculations without too much effort.

Evaluating Measurement Accuracy

A Practical Approach
Author: Semyon G Rabinovich
Publisher: Springer Science & Business Media
ISBN: 1461467179
Category: Science
Page: 313
View: 6360
“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.

Introductory Statistical Thermodynamics

Author: Nils Dalarsson,Mariana Dalarsson,Leonardo Golubovic
Publisher: Academic Press
ISBN: 9780123849571
Category: Science
Page: 408
View: 8520
Introductory Statistical Thermodynamics is a text for an introductory one-semester course in statistical thermodynamics for upper-level undergraduate and graduate students in physics and engineering. The book offers a high level of detail in derivations of all equations and results. This information is necessary for students to grasp difficult concepts in physics that are needed to move on to higher level courses. The text is elementary, self contained, and mathematically well-founded, containing a number of problems with detailed solutions to help students to grasp the more difficult theoretical concepts. Beginning chapters place an emphasis on quantum mechanics Includes problems with detailed solutions and a number of detailed theoretical derivations at the end of each chapter Provides a high level of detail in derivations of all equations and results

Eddy Covariance

A Practical Guide to Measurement and Data Analysis
Author: Marc Aubinet,Timo Vesala,Dario Papale
Publisher: Springer Science & Business Media
ISBN: 9400723504
Category: Science
Page: 438
View: 9481
This highly practical handbook is an exhaustive treatment of eddy covariance measurement that will be of keen interest to scientists who are not necessarily specialists in micrometeorology. The chapters cover measuring fluxes using eddy covariance technique, from the tower installation and system dimensioning to data collection, correction and analysis. With a state-of-the-art perspective, the authors examine the latest techniques and address the most up-to-date methods for data processing and quality control. The chapters provide answers to data treatment problems including data filtering, footprint analysis, data gap filling, uncertainty evaluation, and flux separation, among others. The authors cover the application of measurement techniques in different ecosystems such as forest, crops, grassland, wetland, lakes and rivers, and urban areas, highlighting peculiarities, specific practices and methods to be considered. The book also covers what to do when you have all your data, summarizing the objectives of a database as well as using case studies of the CarboEurope and FLUXNET databases to demonstrate the way they should be maintained and managed. Policies for data use, exchange and publication are also discussed and proposed. This one compendium is a valuable source of information on eddy covariance measurement that allows readers to make rational and relevant choices in positioning, dimensioning, installing and maintaining an eddy covariance site; collecting, treating, correcting and analyzing eddy covariance data; and scaling up eddy flux measurements to annual scale and evaluating their uncertainty.

Measurement Uncertainty in Forensic Science

A Practical Guide
Author: Suzanne Bell
Publisher: CRC Press
ISBN: 131540088X
Category: Law
Page: 182
View: 6567
In the courtroom, critical and life-changing decisions are made based on quantitative forensic science data. There is often a range in which a measured value is expected to fall and, in this, an inherent uncertainty associated with such measurement. Uncertainty in this context is not error. In fact, estimations of uncertainty can add to the utility and reliability of quantitative results, be it the length of a firearm barrel, the weight of a drug sample, or the concentration of ethanol in blood. Measurement Uncertainty in Forensic Science: A Practical Guide describes and defines the concepts related to such uncertainty in the forensic context. The book provides the necessary conceptual background and framework—a baseline—for developing and deploying reasonable and defensible uncertainty estimations across forensic disciplines. Information is presented conceptually, using easily understood examples, to provide a readable, handy reference for scientists in the laboratory, as well as investigators and legal professionals who require a basic understanding of the science underpinning measurement results.

Measurement in Medicine

A Practical Guide
Author: Henrica C. W. de Vet,Caroline B. Terwee,Lidwine B. Mokkink,Dirk L. Knol
Publisher: Cambridge University Press
ISBN: 1139497812
Category: Medical
Page: N.A
View: 7070
The success of the Apgar score demonstrates the astounding power of an appropriate clinical instrument. This down-to-earth book provides practical advice, underpinned by theoretical principles, on developing and evaluating measurement instruments in all fields of medicine. It equips you to choose the most appropriate instrument for specific purposes. The book covers measurement theories, methods and criteria for evaluating and selecting instruments. It provides methods to assess measurement properties, such as reliability, validity and responsiveness, and interpret the results. Worked examples and end-of-chapter assignments use real data and well-known instruments to build your skills at implementation and interpretation through hands-on analysis of real-life cases. All data and solutions are available online. This is a perfect course book for students and a perfect companion for professionals/researchers in the medical and health sciences who care about the quality and meaning of the measurements they perform.

A Clinician's Guide to Statistics and Epidemiology in Mental Health

Measuring Truth and Uncertainty
Author: S. Nassir Ghaemi
Publisher: Cambridge University Press
ISBN: 052170958X
Category: Medical
Page: 151
View: 1250
Describes statistical concepts in plain English with minimal mathematical content, giving an insight into which statistics to believe - and why.

Biomolecular Thermodynamics

From Theory to Application
Author: Douglas Barrick
Publisher: CRC Press
ISBN: 1439800200
Category: Medical
Page: 524
View: 7871
"an impressive text that addresses a glaring gap in the teaching of physical chemistry, being specifically focused on biologically-relevant systems along with a practical focus.... the ample problems and tutorials throughout are much appreciated." –Tobin R. Sosnick, Professor and Chair of Biochemistry and Molecular Biology, University of Chicago "Presents both the concepts and equations associated with statistical thermodynamics in a unique way that is at visual, intuitive, and rigorous. This approach will greatly benefit students at all levels." –Vijay S. Pande, Henry Dreyfus Professor of Chemistry, Stanford University "a masterful?tour de force.... Barrick's rigor and scholarship come through in every chapter." –Rohit V. Pappu, Edwin H. Murty Professor of Engineering, Washington University in St. Louis This book provides a comprehensive, contemporary introduction to developing a quantitative understanding of how biological macromolecules behave using classical and statistical thermodynamics. The author focuses on practical skills needed to apply the underlying equations in real life examples. The text develops mechanistic models, showing how they connect to thermodynamic observables, presenting simulations of thermodynamic behavior, and analyzing experimental data. The reader is presented with plenty of exercises and problems to facilitate hands-on learning through mathematical simulation. Douglas E. Barrick is a professor in the Department of Biophysics at Johns Hopkins University. He earned his Ph.D. in biochemistry from Stanford University, and a Ph.D. in biophysics and structural biology from the University of Oregon.

Measurement Uncertainty

Methods and Applications
Author: Ronald H. Dieck
Publisher: ISA
ISBN: 9781556179150
Category: Mathematics
Page: 277
View: 8062
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.

Propagation of Errors

How to Mathematically Predict Measurement Errors
Author: Mike Peralta
Publisher: CreateSpace
ISBN: 9781469985862
Category: Mathematics
Page: 198
View: 6919
“The Best Propagation-of-Errors Book Out There” Great care was taken to fully derive what the technique of Propagation of Errors (POE) Analysis is based on. I would have loved to have this book as both an undergrad and grad student. (And as a professional scientist and engineer as well). And now this is finally available. As a student I was required to use (first order linear) POE to analyze measurement errors in my physical experiments. However it was never derived or explained. This book now derives the POE analysis. Not just to first order linear but also the correlated and second order case as well. With this POE book we now have “The Grand Slam” of POE books. In this second edition, exercises are now included so the book can be used in a class or lab setting. What is Propagation of Errors? Experimental measurements always have some degree of error. If these measurements are used to calculate other results, through mathematical expressions, these errors will propagate through to these other results. As you will see in this book, the usual POE expression is first order and is linear in the parameters. Most of the time, the first order linear POE is all that is needed. However, sometimes the second order treatment is necessary. First order linear POE can be found in many fine books, but second order is rarely treated, and so that may be the highlight of this book for those who wish to really understand propagation-of-errors. Notes about the Second Edition: • Chapter 2 has been split into Chapters 2, 3, and 4. • Chapter 3 was added to focus on Propagation of Errors when some or all of the random variables are correlated. This will be found to be very influential in many cases – especially when measuring procedures take advantage of tracking or matched resistors for example. • Chapter 4 was added to include and expand on the Second Order Propagation of Errors Case. • Exercises were added to Chapters 2, 3, and 4. This will now encourage this material to be used as a textbook.

Building Scientific Apparatus

Author: John H. Moore,Christopher C. Davis,Michael A. Coplan,Sandra C. Greer
Publisher: Cambridge University Press
ISBN: 0521878586
Category: Mathematics
Page: 647
View: 3771
Unrivalled in its coverage and unique in its hands-on approach, this guide to the design and construction of scientific apparatus is essential reading for every scientist and student of engineering, and physical, chemical, and biological sciences. Covering the physical principles governing the operation of the mechanical, optical and electronic parts of an instrument, new sections on detectors, low-temperature measurements, high-pressure apparatus, and updated engineering specifications, as well as 400 figures and tables, have been added to this edition. Data on the properties of materials and components used by manufacturers are included. Mechanical, optical, and electronic construction techniques carried out in the lab, as well as those let out to specialized shops, are also described. Step-by-step instruction supported by many detailed figures, is given for laboratory skills such as soldering electrical components, glassblowing, brazing, and polishing.

Introduction to Classical Mechanics

With Problems and Solutions
Author: David Morin
Publisher: Cambridge University Press
ISBN: 1139468375
Category: Science
Page: N.A
View: 3511
This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.

Practical Temperature Measurement

Author: Peter R. N. Childs
Publisher: Elsevier
ISBN: 9780080480275
Category: Education
Page: 368
View: 312
Practical Temperature Measurement introduces the concepts of temperature and its measurement to engineers, physicists and chemists of all disciplines. The author describes the wide range of techniques and specific devices available for temperature measurement and provides guidance for the selection of a particular method for a given application. It is of value to engineering and physics postgraduates studying modules on instrumentation and process control and, in addition, for practical project work requiring an understanding of temperature measurement methods. For postgraduates and industrialists faced with the task of selecting a particular measurement method or sensor for an experiment, product or process, this text provides both thorough descriptions of the various techniques, as well as guidance for their selection. Essential for all those who need to measure temperature in real-life situations Includes worked examples of real situations commonly found in industry

Numerical Methods for Physics

Author: Alejandro L. Garcia
Publisher: N.A
ISBN: 9781514136683
Page: 432
View: 5835
This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics -including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations-e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background.Previously published by Prentice Hall / Addison-Wesley

Monitoring Bathing Waters

A Practical Guide to the Design and Implementation of Assessments and Monitoring Programmes
Author: Jamie Bartram,Gareth Rees
Publisher: CRC Press
ISBN: 0203478266
Category: Architecture
Page: 352
View: 9339
This book, which has been prepared by an international group of experts, provides comprehensive guidance for the design, planning and implementation of assessments and monitoring programmes for water bodies used for recreation. It addresses the wide range of hazards which may be encountered and emphasizes the importance of linking monitoring programmes to effective and feasible management actions to protect human health. It also provides details of sampling and analytical methods. This book will be an invaluable source of information for anyone concerned with monitoring and assessing recreational waters, including field staff. It will also be useful for national and regional government departments concerned with tourism and recreation, and for students and special interest groups.