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xiii, 136 p. : ill. ; 26 cm.
  • 1. Errors in the physical sciences -- 2. Random errors in measurement -- 3. Uncertainties as probabilities -- 4. Error propagation -- 5. Data visualisation and reduction -- 6. Least-squares fitting of complex functions -- 7. Computer minimisation and the error matrix -- 8. Hypothesis testing - how good are our models -- 9. Topics for further summary.
  • (source: Nielsen Book Data)9780199566334 20160604
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.
(source: Nielsen Book Data)9780199566334 20160604
Engineering Library (Terman), eReserve
xi, 320 p. : ill. ; 24 cm.
  • 1 Uncertainties in Measurements 2 Probability Distributions 3 Error Analysis 4 Estimates of Mean and Errors 5 Monte Carlo Techniques 6 Least-Squares Fit to a Straight Line 7 Least-Squares Fit to a Polynomial 8 Least-Squares Fit to an Arbitrary Function 9 Fitting Composite Curves 10 Direct Application of the Maximum-Likelihood Method 11 Testing the Fit Appendix A Numerical Methods Appendix B Matrices Appendix C Graphs and Tables Appendix D Histograms and Graphs Appendix E Computer Routines in Fortran.
  • (source: Nielsen Book Data)9780072472271 20160528
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++.
(source: Nielsen Book Data)9780072472271 20160528
Engineering Library (Terman)
xvii, 327 p. : ill. ; 26 cm.
  • Preliminary description of error analysis-- how to report and use uncertainties-- propagation of uncertainties-- statistical analysis of random uncertainties-- the normal distribution-- rejection of data-- weighted averages-- least-squares fitting-- covariance and correlation-- the binominal distribution-- the poisson distribution-- the x2 test for distribution. Appendices: normal error integral-- normal error integral II-- probabilities for correlation coefficients-- probabilities for x2.
  • (source: Nielsen Book Data)9780935702422 20160528
The need for error analysis is captured in the book's arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports. Later chapters treat a number of more advanced mathematical topics, with many examples from mechanics and optics. End-of-chapter problems include many that call for use of calculators or computers, and numerous figures help readers visualize uncertainties using error bars. "Score a hit! ...the book reveals the exceptional skill of the author as lecturer and teacher...a valuable reference work for any student (or instructor) in the sciences and engineering." The Physics Teacher "This is a well written book with good illustrations, index and general bibliography...The book is well suited for engineering and science courses at universities and as a basic reference text for those engineers and scientists in practice." Strain, Journal of the British Society for Strain Measurement.
(source: Nielsen Book Data)9780935702422 20160528
Engineering Library (Terman), Marine Biology Library (Miller)
xii, 95 p. : ill. ; 23 cm.
  • Preface-- Glossary-- 1. Experimental errors-- 1.1. Why estimate errors?-- 1.2. Random and systematic errors-- 1.3. Distributions-- 1.4. Mean and variance-- 1.5. Gaussian distribution-- 1.6. The meaning of s-- 1.7. Combining errors-- 1.8. Systematic errors-- 1.9. An example including random and systematic errors-- 1.10. Combining results of different experiments-- 1.11. Worked examples-- 1.12. Does it feel right?-- 2. Least squares fitting-- 2.1. What are we trying to do-- 2.2. Weighted sum of squares-- 2.3. Determining the parameters-- 2.4. The error on the gradient and the intercept-- 2.5. Other examples-- 2.6. Observed numbers-- 2.7. Parameter testing-- 2.8. Distribution testing-- 2.9. Worked example of a straight line fit-- 2.10. Summary of straight line fitting-- Problems-- Appendices.
  • (source: Nielsen Book Data)9780521424639 20160528
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.
(source: Nielsen Book Data)9780521424639 20160528
Cambridge Core Access limited to 3 simultaneous users.
Engineering Library (Terman), eReserve
xv, 204 p. : ill. ; 24 cm.
  • Using statistics-- describing the data-- theoretical distributions - bionomial distribution, the Poisson distribution, the Gaussian distribution-- errors-- estimation-- least squares-- probability and confidence-- taking decisions-- ranking methods-- notes for number crunchers. Appendices: answers to problems-- proof of the Central Limit Theorem.
  • (source: Nielsen Book Data)9780471922940 20160527
  • Using Statistics. Describing the Data. Theoretical Distributions. Errors. Estimation. Least Squares. Probability and Confidence. Taking Decisions. Ranking Methods. Notes for Number Crunchers. Bibliography. Appendices. Index.
  • (source: Nielsen Book Data)9780471922957 20160528
Each volume in the "Manchester Physics Series" has been developed as a physics or mathematical textbook at undergraduate level. The aim has been to produce books which allow courses of different lengths and degrees of difficulty to be selected, with emphasis on various applications. Flow diagrams are used throughout the texts to emphasize connections between different areas of the disciplines. This introduction to statistical methods, which assumes a reasonable degree of numeracy, emphasizes the theory of measurements and errors and the problem of estimation.
(source: Nielsen Book Data)9780471922940 20160527
The Manchester Physics Series General Editors: D. J. Sandiford; F. Mandl; A. C. Phillips Department of Physics and Astronomy, University of Manchester Properties of Matter B. H. Flowers and E. Mendoza Optics Second Edition F. G. Smith and J. H. Thomson Statistical Physics Second Edition F. Mandl Electromagnetism Second Edition I. S. Grant and W. R. Phillips Statistics R. J. Barlow Solid State Physics Second Edition J. R. Hook and H. E. Hall Quantum Mechanics F. Mandl Particle Physics Second Edition B. R. Martin and G. Shaw The Physics of Stars Second Edition A.C. Phillips Computing for Scientists R. J. Barlow and A. R. Barnett Written by a physicist, Statistics is tailored to the needs of physical scientists, containing and explaining all they need to know. It concentrates on parameter estimation, especially the methods of Least Squares and Maximum Likelihood, but other techniques, such as hypothesis testing, Bayesian statistics and non-parametric methods are also included. Intended for reasonably numerate scientists it contains all the basic formulae, their derivations and applications, together with some more advanced ones. Statistics features: Comprehensive coverage of the essential techniques physical scientists are likely to need. A wealth of examples, and problems with their answers. Flexible structure and organisation allows it to be used as a course text and a reference. A review of the basics, so that little prior knowledge is required.
(source: Nielsen Book Data)9780471922957 20160528
Engineering Library (Terman)