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Measurements and their Uncertainties (PDF eBook)


Measurements and their Uncertainties (PDF eBook)

eBook by Hughes, Ifan/Hase, Thomas;

Measurements and their Uncertainties (PDF eBook)

£18.32

ISBN:
9780191576560
Publication Date:
02 Jul 2010
Publisher:
Oxford University Press
Imprint:
OUP Oxford
Pages:
152 pages
Format:
eBook
For delivery:
Download available
Measurements and their Uncertainties (PDF eBook)

Description

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. Theemphasis 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 bymost contemporary data analysis packages are analysed and explained. The book finishes with a discussion of advanced fitting strategies and an introduction to Bayesian analysis.

Contents

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

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