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Measurements and their uncertainties : a practical guide to modern error analysis

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Hughes, Ifan, 1968- and Hase, Thomas P. A. (2010) Measurements and their uncertainties : a practical guide to modern error analysis. Oxford University Press, Oxford : New York, NY. ISBN 9780199566327

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Official URL: http://webcat.warwick.ac.uk/record=b2342820~S1

Abstract

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.

Item Type: Book
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Error analysis (Mathematics)
Publisher: Oxford University Press
Place of Publication: Oxford : New York, NY
ISBN: 9780199566327
Date: 2010
Number of Pages: 136
Status: Peer Reviewed
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/39714

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