Measurements and their Uncertainties: A practical guide to modern error analysis

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Ifan Hughes (Department of Physics, University of Durham) Thomas Hase (Department of Physics, University of Warwick)

Measurements and their Uncertainties

A practical guide to modern error analysis

Ifan Hughes (Department of Physics, University of Durham), Thomas Hase (Department of Physics, University of Warwick)

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English

Oxford University Press
17 July 2010

Mathematical foundations; Calculus of variations; Mensuration & systems of measurement; Maths for scientists; Statistical physics; Mathematical physics

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.

By: Ifan Hughes (Department of Physics University of Durham), Thomas Hase (Department of Physics, University of Warwick)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 189mm, Spine: 13mm
Weight: 510g
ISBN: 9780199566327
ISBN 10: 0199566321
Pages: 152
Publication Date: 17 July 2010
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

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

Ifan Hughes took his BSc at Imperial College London, his DPhil at Oxford University, and undertook post-doctoral research at Oxford, Yale and Sussex. He has been at Durham University since 1999, where he is now a Senior Lecturer. Thomas Hase has been an Associate Professor at Warwick University since 2007. Prior to that, he did his BSc, PhD and post-doctoral research at Durham University.

Reviews for Measurements and their Uncertainties: A practical guide to modern error analysis

This is a rather beautiful little book. * David J. Hand, International Statistical Review * With the shift from analytic methods to spreadsheet-based techniques, this book will enable students simultaneously to (a) become fluent in the choice and application of appropriate methods (b) understand the underlying principles. * David Saxon, University of Glasgow *