Data Fitting And Uncertainty

Author : Tilo Strutz
Publisher : Springer Vieweg
Page : 0 pages
File Size : 47,8 Mb
Release : 2015-12-16
Category : Technology & Engineering
ISBN : 365811455X

Get Book

Data Fitting and Uncertainty by Tilo Strutz Pdf

The subject of data fitting bridges many disciplines, especially those traditionally dealing with statistics like physics, mathematics, engineering, biology, economy, or psychology, but also more recent fields like computer vision. This book addresses itself to engineers and computer scientists or corresponding undergraduates who are interested in data fitting by the method of least-squares approximation, but have no or only limited pre-knowledge in this field. Experienced readers will find in it new ideas or might appreciate the book as a useful work of reference. Familiarity with basic linear algebra is helpful though not essential as the book includes a self-contained introduction and presents the method in a logical and accessible fashion. The primary goal of the text is to explain how data fitting via least squares works. The reader will find that the emphasis of the book is on practical matters, not on theoretical problems. In addition, the book enables the reader to design own software implementations with application-specific model functions based on the comprehensive discussion of several examples. The text is accompanied with working source code in ANSI-C for fitting with weighted least squares including outlier detection. Among others the book covers following topics * fitting of linear and nonlinear functions with one- or multi-dimensional variables * weighted least-squares * outlier detection * evaluation of the fitting results * different optimisation strategies * combined fitting of different model functions * total least-squares approach with multi-dimensional conditions

Author : Friedemann Stallmann
Publisher : Unknown
Page : 34 pages
File Size : 41,8 Mb
Release : 1982
Category : Nuclear pressure vessels
ISBN : UOM:39015095238005

Get Book

Curve Fitting and Uncertainty Analysis of Charpy Impact Data by Friedemann Stallmann Pdf

Author : Hugh W. Coleman,W. Glenn Steele
Publisher : John Wiley & Sons
Page : 298 pages
File Size : 40,9 Mb
Release : 1999
Category : Psychology
ISBN : 0471121460

Get Book

Experimentation and Uncertainty Analysis for Engineers by Hugh W. Coleman,W. Glenn Steele Pdf

Now, in the only manual available with direct applications to the design and analysis of engineering experiments, respected authors Hugh Coleman and Glenn Steele have thoroughly updated their bestselling title to include the new methodologies being used by the United States and International standards committee groups.

Author : Jack Merrin
Publisher : Createspace Independent Publishing Platform
Page : 112 pages
File Size : 53,8 Mb
Release : 2017-08-29
Category : Electronic
ISBN : 1975906659

Get Book

Introduction to Error Analysis by Jack Merrin Pdf

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!

Author : Ronald H. Dieck
Publisher : ISA
Page : 292 pages
File Size : 50,8 Mb
Release : 2007
Category : Mathematics
ISBN : 1556179154

Get Book

Measurement Uncertainty by Ronald H. Dieck Pdf

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.

Author : Benjamin David Shaw
Publisher : CRC Press
Page : 205 pages
File Size : 53,7 Mb
Release : 2017-07-06
Category : Mathematics
ISBN : 9781498797337

Get Book

Uncertainty Analysis of Experimental Data with R by Benjamin David Shaw Pdf

"This would be an excellent book for undergraduate, graduate and beyond....The style of writing is easy to read and the author does a good job of adding humor in places. The integration of basic programming in R with the data that is collected for any experiment provides a powerful platform for analysis of data.... having the understanding of data analysis that this book offers will really help researchers examine their data and consider its value from multiple perspectives – and this applies to people who have small AND large data sets alike! This book also helps people use a free and basic software system for processing and plotting simple to complex functions." Michelle Pantoya, Texas Tech University Measurements of quantities that vary in a continuous fashion, e.g., the pressure of a gas, cannot be measured exactly and there will always be some uncertainty with these measured values, so it is vital for researchers to be able to quantify this data. Uncertainty Analysis of Experimental Data with R covers methods for evaluation of uncertainties in experimental data, as well as predictions made using these data, with implementation in R. The books discusses both basic and more complex methods including linear regression, nonlinear regression, and kernel smoothing curve fits, as well as Taylor Series, Monte Carlo and Bayesian approaches. Features: 1. Extensive use of modern open source software (R). 2. Many code examples are provided. 3. The uncertainty analyses conform to accepted professional standards (ASME). 4. The book is self-contained and includes all necessary material including chapters on statistics and programming in R. Benjamin D. Shaw is a professor in the Mechanical and Aerospace Engineering Department at the University of California, Davis. His research interests are primarily in experimental and theoretical aspects of combustion. Along with other courses, he has taught undergraduate and graduate courses on engineering experimentation and uncertainty analysis. He has published widely in archival journals and became an ASME Fellow in 2003.

Author : José Eduardo Souza De Cursi
Publisher : Springer Nature
Page : 472 pages
File Size : 48,6 Mb
Release : 2020-08-19
Category : Technology & Engineering
ISBN : 9783030536695

Get Book

Proceedings of the 5th International Symposium on Uncertainty Quantification and Stochastic Modelling by José Eduardo Souza De Cursi Pdf

This proceedings book discusses state-of-the-art research on uncertainty quantification in mechanical engineering, including statistical data concerning the entries and parameters of a system to produce statistical data on the outputs of the system. It is based on papers presented at Uncertainties 2020, a workshop organized on behalf of the Scientific Committee on Uncertainty in Mechanics (Mécanique et Incertain) of the AFM (French Society of Mechanical Sciences), the Scientific Committee on Stochastic Modeling and Uncertainty Quantification of the ABCM (Brazilian Society of Mechanical Sciences) and the SBMAC (Brazilian Society of Applied Mathematics).

Author : Ifan Hughes,Thomas Hase
Publisher : OUP Oxford
Page : 152 pages
File Size : 44,9 Mb
Release : 2010-07-02
Category : Science
ISBN : 9780191576560

Get Book

Measurements and their Uncertainties by Ifan Hughes,Thomas Hase Pdf

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.

Author : Per Christian Hansen,Víctor Pereyra,Godela Scherer
Publisher : JHU Press
Page : 325 pages
File Size : 53,5 Mb
Release : 2013-01-15
Category : Mathematics
ISBN : 9781421408583

Get Book

Least Squares Data Fitting with Applications by Per Christian Hansen,Víctor Pereyra,Godela Scherer Pdf

A lucid explanation of the intricacies of both simple and complex least squares methods. As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues. In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems. Included are • an overview of computational methods together with their properties and advantages • topics from statistical regression analysis that help readers to understand and evaluate the computed solutions • many examples that illustrate the techniques and algorithms Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.

Author : Philip R. Bevington,D. Keith Robinson
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 362 pages
File Size : 40,7 Mb
Release : 1992
Category : Mathematics
ISBN : STANFORD:36105008520582

Get Book

Data Reduction and Error Analysis for the Physical Sciences by Philip R. Bevington,D. Keith Robinson Pdf

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.

Author : Kevin W. Cassel
Publisher : Cambridge University Press
Page : 727 pages
File Size : 45,8 Mb
Release : 2021-03-04
Category : Mathematics
ISBN : 9781108479097

Get Book

Matrix, Numerical, and Optimization Methods in Science and Engineering by Kevin W. Cassel Pdf

Vector and matrix algebra -- Algebraic eigenproblems and their applications -- Differential eigenproblems and their applications -- Vector and matrix calculus -- Analysis of discrete dynamical systems -- Computational linear algebra -- Numerical methods for differential equations -- Finite-difference methods for boundary-value problems -- Finite-difference methods for initial-value problems -- Least-squares methods -- Data analysis : curve fitting and interpolation -- Optimization and root finding of algebraic systems -- Data-driven methods and reduced-order modeling.

Author : Faith A. Morrison
Publisher : Cambridge University Press
Page : 389 pages
File Size : 40,8 Mb
Release : 2021-01-07
Category : Computers
ISBN : 9781108478359

Get Book

Uncertainty Analysis for Engineers and Scientists by Faith A. Morrison Pdf

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.

Author : Stephen Crowder,Collin Delker,Eric Forrest,Nevin Martin
Publisher : Springer Nature
Page : 357 pages
File Size : 45,7 Mb
Release : 2020-11-30
Category : Mathematics
ISBN : 9783030533298

Get Book

Introduction to Statistics in Metrology by Stephen Crowder,Collin Delker,Eric Forrest,Nevin Martin Pdf

This book provides an overview of the application of statistical methods to problems in metrology, with emphasis on modelling measurement processes and quantifying their associated uncertainties. It covers everything from fundamentals to more advanced special topics, each illustrated with case studies from the authors' work in the Nuclear Security Enterprise (NSE). The material provides readers with a solid understanding of how to apply the techniques to metrology studies in a wide variety of contexts. The volume offers particular attention to uncertainty in decision making, design of experiments (DOEx) and curve fitting, along with special topics such as statistical process control (SPC), assessment of binary measurement systems, and new results on sample size selection in metrology studies. The methodologies presented are supported with R script when appropriate, and the code has been made available for readers to use in their own applications. Designed to promote collaboration between statistics and metrology, this book will be of use to practitioners of metrology as well as students and researchers in statistics and engineering disciplines.

Author : Maria Piarulli,Evgeny Epelbaum,Christian Forssén
Publisher : Frontiers Media SA
Page : 233 pages
File Size : 54,5 Mb
Release : 2023-08-30
Category : Science
ISBN : 9782832532096

Get Book

Uncertainty quantification in nuclear physics by Maria Piarulli,Evgeny Epelbaum,Christian Forssén Pdf

Author : Xinwei Wang
Publisher : John Wiley & Sons
Page : 278 pages
File Size : 40,7 Mb
Release : 2012-06-05
Category : Technology & Engineering
ISBN : 9781118007440

Get Book

Experimental Micro/Nanoscale Thermal Transport by Xinwei Wang Pdf

This book covers the new technologies on micro/nanoscale thermal characterization developed in the Micro/Nanoscale Thermal Science Laboratory led by Dr. Xinwei Wang. Five new non-contact and non-destructive technologies are introduced: optical heating and electrical sensing technique, transient electro-thermal technique, transient photo-electro-thermal technique, pulsed laser-assisted thermal relaxation technique, and steady-state electro-Raman-thermal technique. These techniques feature significantly improved ease of implementation, super signal-to-noise ratio, and have the capacity of measuring the thermal conductivity/diffusivity of various one-dimensional structures from dielectric, semiconductive, to metallic materials.