Measurements and Their Uncertainties

Author: Ifan Hughes
Publisher: Oxford University Press
ISBN: 0199566321
Format: PDF, ePub, Mobi
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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.

Data Reduction and Error Analysis for the Physical Sciences

Author: Philip R. Bevington
Publisher:
ISBN: 9780071199261
Format: PDF, ePub
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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++.

A Practical Guide to Data Analysis for Physical Science Students

Author: Louis Lyons
Publisher: Cambridge University Press
ISBN: 9780521424639
Format: PDF, ePub
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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

Author: Semyon G Rabinovich
Publisher: Springer Science & Business Media
ISBN: 1461467179
Format: PDF, Docs
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“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.

Measurement Uncertainty in Forensic Science

Author: Suzanne Bell
Publisher: CRC Press
ISBN: 131540088X
Format: PDF
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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.

Practical Physics

Author: G. L. Squires
Publisher: Cambridge University Press
ISBN: 9780521779401
Format: PDF, Docs
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Practical Physics demonstrates the purposive and critical approach that should be made to all experimental work in physics. It does not describe a systematic course of experiments, but is intended as a companion to any undergraduate course of practical work. The text is in three parts. The first deals with the statistical treatment of data, the second with experimental methods, and the third with such essential matters as keeping efficient records, accuracy in calculations, and scientific writing. The text is liberally illustrated with examples and exercises, with solutions to the latter. The new edition includes a treatment of the χ2 distribution, a section on atomic clocks, worked examples based on spreadsheets, and additional exercises. Existing examples and references have been brought up to date. Although intended for undergraduates, Practical Physics has proved of interest to school-students, teachers, and researchers, not only in physics, but also in other branches of science.

Introductory Statistical Thermodynamics

Author: Nils Dalarsson
Publisher: Academic Press
ISBN: 9780123849571
Format: PDF, ePub, Mobi
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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

Measurement in Medicine

Author: Henrica C. W. de Vet
Publisher: Cambridge University Press
ISBN: 1139497812
Format: PDF, ePub, Mobi
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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.

Experimental Measurements

Author: N. C. Barford
Publisher: Wiley
ISBN: 9780471907015
Format: PDF, Mobi
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This practical laboratory handbook provides a solid understanding of the random experimental errors that physicists and engineers encounter, and develops the skills necessary for presenting experimental results accurately and thoroughly. Using a ``common sense'' approach, it introduces basic experimental techniques before introducing theoretical concepts. Beginning with a hypothetical situation of the different results obtained in a simple experiment performed by two students, it clarifies and expands upon the basic ideas arising from this discussion. Succeeding chapters link practical application with underlying theory, such as the principle of least squares. Also discussed is the meaning of correlation and the ``best'' straight line linking two sets of measurements, and maximum likelihood and the Chi-squared hypothesis test. Includes an analysis of the binomial model for combining random processes used to derive the Gaussian and Poison distributions. Contains end-of-chapter exercises.