Download or read book Basic Concepts of Data and Error Analysis written by Panayiotis Nicos Kaloyerou and published by Springer. This book was released on 2018-10-24 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook explains the concepts and methods of data and error analysis needed for laboratory experiment write-ups, especially physics and engineering experiments. The book contains the material needed for beginning students, e.g., first year university students, college students (enrolled on a certificate or diploma course) and even A-level students. Nevertheless, it also covers the required material for higher year university laboratories, including the final year. Only essential concepts and methods needed for the day-to-day performance of experiments and their subsequent analysis and presentation are included and, at the same time, presented as simply as possible. Non-essential detail is avoided. Chapter five is a stand-alone introduction to probability and statistics aimed at providing a theoretical background to the data and error analysis chapters one to four. Computer methods are introduced in Chapter six. The author hopes this book will serve as a constant reference.
Download or read book A Student s Guide to Data and Error Analysis written by Herman J. C. Berendsen and published by Cambridge University Press. This book was released on 2011-04-07 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Data Reduction and Error Analysis for the Physical Sciences written by Philip R. Bevington and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1992 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a laboratory companion, student textbook or reference book for professional scientists. The text is for use in one-term numerical analysis, data and error analysis, or computer methods courses, or for laboratory use. It is for the sophomore-junior level, and calculus is a prerequisite. The new edition includes applications for PC use.
Download or read book Measurements and their Uncertainties written by Ifan Hughes and published by OUP Oxford. This book was released on 2010-07-02 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Error Analysis written by John Robert Taylor and published by Univ Science Books. This book was released on 1997-01-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems after each chapter
Download or read book Everything You Wanted to Know About Data Analysis and Fitting but Were Afraid to Ask written by Peter Young and published by Springer. This book was released on 2015-05-19 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes describe how to average and fit numerical data that have been obtained either by simulation or measurement. Following an introduction on how to estimate various average values, they discuss how to determine error bars on those estimates, and how to proceed for combinations of measured values. Techniques for fitting data to a given set of models will be described in the second part of these notes. This primer equips readers to properly derive the results covered, presenting the content in a style suitable for a physics audience. It also includes scripts in python, perl and gnuplot for performing a number of tasks in data analysis and fitting, thereby providing readers with a useful reference guide.
Download or read book Radar Interferometry written by Ramon F. Hanssen and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the product of five and a half years of research dedicated to the und- standing of radar interferometry, a relatively new space-geodetic technique for m- suring the earth’s topography and its deformation. The main reason for undertaking this work, early 1995, was the fact that this technique proved to be extremely useful for wide-scale, fine-resolution deformation measurements. Especially the interf- ometric products from the ERS-1 satellite provided beautiful first results—several interferometric images appeared as highlights on the cover of journals such as Nature and Science. Accuracies of a few millimeters in the radar line of sight were claimed in semi-continuous image data acquired globally, irrespective of cloud cover or solar illumination. Unfortunately, because of the relative lack of supportive observations at these resolutions and accuracies, validation of the precision and reliability of the results remained an issue of concern. From a geodetic point of view, several survey techniques are commonly available to measure a specific geophysical phenomenon. To make an optimal choice between these techniques it is important to have a uniform and quantitative approach for describing the errors and how these errors propagate to the estimated parameters. In this context, the research described in this book was initiated. It describes issues involved with different types of errors, induced by the sensor, the data processing, satellite positioning accuracy, atmospheric propagation, and scattering character- tics. Nevertheless, as the first item in the subtitle “Data Interpretation and Error Analysis” suggests, data interpretation is not always straightforward.
Download or read book Statistical Analysis with Measurement Error or Misclassification written by Grace Y. Yi and published by Springer. This book was released on 2017-08-02 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on measurement error and misclassification covers a broad range of problems and emphasizes unique features in modeling and analyzing problems arising from medical research and epidemiological studies. Many measurement error and misclassification problems have been addressed in various fields over the years as well as with a wide spectrum of data, including event history data (such as survival data and recurrent event data), correlated data (such as longitudinal data and clustered data), multi-state event data, and data arising from case-control studies. Statistical Analysis with Measurement Error or Misclassification: Strategy, Method and Application brings together assorted methods in a single text and provides an update of recent developments for a variety of settings. Measurement error effects and strategies of handling mismeasurement for different models are closely examined in combination with applications to specific problems. Readers with diverse backgrounds and objectives can utilize this text. Familiarity with inference methods—such as likelihood and estimating function theory—or modeling schemes in varying settings—such as survival analysis and longitudinal data analysis—can result in a full appreciation of the material, but it is not essential since each chapter provides basic inference frameworks and background information on an individual topic to ease the access of the material. The text is presented in a coherent and self-contained manner and highlights the essence of commonly used modeling and inference methods. This text can serve as a reference book for researchers interested in statistical methodology for handling data with measurement error or misclassification; as a textbook for graduate students, especially for those majoring in statistics and biostatistics; or as a book for applied statisticians whose interest focuses on analysis of error-contaminated data. Grace Y. Yi is Professor of Statistics and University Research Chair at the University of Waterloo. She is the 2010 winner of the CRM-SSC Prize, an honor awarded in recognition of a statistical scientist's professional accomplishments in research during the first 15 years after having received a doctorate. She is a Fellow of the American Statistical Association and an Elected Member of the International Statistical Institute.
Download or read book Dealing with Uncertainties written by Manfred Drosg and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with Uncertainties is an innovative monograph that lays special emphasis on the deductive approach to uncertainties and on the shape of uncertainty distributions. This perspective has the potential for dealing with the uncertainty of a single data point and with sets of data that have different weights. It is shown that the inductive approach that is commonly used to estimate uncertainties is in fact not suitable for these two cases. The approach that is used to understand the nature of uncertainties is novel in that it is completely decoupled from measurements. Uncertainties which are the consequence of modern science provide a measure of confidence both in scientific data and in information in everyday life. Uncorrelated uncertainties and correlated uncertainties are fully covered and the weakness of using statistical weights in regression analysis is discussed. The text is abundantly illustrated with examples and includes more than 150 problems to help the reader master the subject.
Download or read book Introduction to Error Analysis written by Jack Merrin and published by Createspace Independent Publishing Platform. This book was released on 2017-08-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great scientists master the math behind the science. Do you still delay mastering data analysis, keeping you from more accurate, rigorous, and higher certainty conclusions? Jack Merrin, Ph.D. Princeton University, is a physicist who has helped hundreds of students with math and physics, taught physics labs, and used error analysis through 25 years of research. You can surely learn the right statistical methods from Jack. Introduction to Error Analysis is more than a collection of ad-hoc statistical theory. It is an easy-to-read blueprint used by scientists for presenting correct results. Transform your experimental perspective to confidence. Learn reusable principles for each new scientific project. This book covers reporting measurements and uncertainties, propagation of error, combining results, curve fitting, essential statistical concepts, and much, much, more. You might love this book if: You are doing lab reports or actual research, and it's time to get serious about data analysis. You want to focus on the essential calculations, not on time-wasting theory. You want adaptable MATLAB code for each different calculation. Hey, no need to reinvent the wheel. You want to reach correct and unique results using the established convention. You want to know what is correct to spot bad scientific literature. Introduction to Error Analysis is the concise book you need to start building your successful scientific career. If you like easy-to-follow lessons, practical examples, insightful tips, and an author who actually cares about you getting it right, then you'll love Jack's book. Buy Introduction to Error Analysis to start refining your data analysis skills today!
Download or read book Data and Error Analysis written by William Lichten and published by Addison-Wesley. This book was released on 1999 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the lab/experimentation course in physics depts. and/or any course in physics, chemistry, geology, etc. with a lab component focusing on data and error analysis. Designed to help science students process data without lengthy and boring computations, this text/disk package provides useful algorithms and programs that allow students to do analysis more quickly than was previously possible. Using a "learn by doing" approach, it provides simple, handy rules for handling data and estimating errors both by graphical and analytic methods without long discussions and involved theoretical derivations.
Download or read book Error Analysis written by Bernd Spillner and published by John Benjamins Publishing. This book was released on 1991-04-12 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Errors are information. In contrastive linguistics, they are thought to be caused by unconscious transfer of mother tongue structures to the system of the target language and give information about both systems. In the interlanguage hypothesis of second language acquisition, errors are indicative of the different intermediate learning levels and are useful pedagogical feedback. In both cases error analysis is an essential methodological tool for diagnosis and evaluation of the language acquisition process. Errors, too, give information in psychoanalysis (e.g., the Freudian slip), in language universal research, and in other fields of linguistics, such as linguistic change.This bibliography is intended to stimulate study into cross-language, cross-discipline and cross-theoretical, as well as for language universal, use of the numerous, but sometimes hard to come by, error analysis studies. 5398 titles covering the period 1578 up to 1990 (with work in more than 144 languages and language families) are cited, cross-referenced, and described. The subject areas covered are numerous. For example: Theoretical Linguistics (Linguistic Typology, Cognitive Linguistics), Historical Linguistics (Language Change), Applied Linguistics (e.g. Speech Disorders), Translation, Mother Tongue Acquisition, Foreign Language Learning (Negative Transfer, Intralingual and Interlingual Errors), Psychoanalysis (Slips of the Tongue), Typography, Shorthand, Clinical Linguistics and Speech Pathology, Reading Research, Automatic Error Detection, Contact Linguistics (Code-switching, Interference), etc.
Download or read book Uncertainty Analysis for Engineers and Scientists written by Faith A. Morrison and published by Cambridge University Press. This book was released on 2021-01-07 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Build the skills for determining appropriate error limits for quantities that matter with this essential toolkit. Understand how to handle a complete project and how uncertainty enters into various steps. Provides a systematic, worksheet-based process to determine error limits on measured quantities, and all likely sources of uncertainty are explored, measured or estimated. Features instructions on how to carry out error analysis using Excel and MATLAB®, making previously tedious calculations easy. Whether you are new to the sciences or an experienced engineer, this useful resource provides a practical approach to performing error analysis. Suitable as a text for a junior or senior level laboratory course in aerospace, chemical and mechanical engineering, and for professionals.
Download or read book Software Error Analysis written by Wendy W. Peng and published by Silicon Press. This book was released on 1994-10 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Practical Guide to Data Analysis for Physical Science Students written by Louis Lyons and published by Cambridge University Press. This book was released on 1991-11-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is usually straightforward to calculate the result of a practical experiment in the laboratory. Estimating the accuracy of that result is often regarded by students as an obscure and tedious routine, involving much arithmetic. An estimate of the error is, however, an integral part of the presentation of the results of experiments. 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 analyse 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. At first 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. The author's aim is to make practical classes more enjoyable. Students who use this book will be able to complete their calculations quickly and confidently, leaving time to appreciate the basic physical ideas involved in the experiments.
Download or read book Spatial Error Analysis written by David Y. Hsu and published by Wiley-IEEE Press. This book was released on 1998-09-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "SPATIAL ERROR ANALYSIS is an all-in-one sourcebook on error measurements in one-, two-, and three-dimensional spaces. This book features exhaustive, systematic coverage of error measurement relationships, techniques, and solutions used to solve general, correlated cases. It is packed with 62 figures and 24 tables. MATLAB-based M-files* for practical applications created especially for this volume are available on the Web at ftp://ftp.mathworks.com/pub/books/hsu. Solutions to two- and three-dimensional problems are presented without relying on equal standard deviations from each channel. They also make no assumption that the random variables of interest are independent or uncorrelated. * MATLAB (developed by MathWorks, Inc.) must be purchased separately." Sponsored by: IEEE Aerospace and Electronic Systems Society.
Download or read book Error Analysis and Interlanguage written by Stephen Pit Corder and published by Oxford University Press, USA. This book was released on 1981 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
