ENGLISH

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

By Ifan Hughes , Thomas Hase

Book information

Publisher
Oxford University Press, USA
Year
2010
ISBN
0191576565, 9780199566334, 9780191576560, 9780199566327, 019956633X, 0199566321
Language
english
Format
PDF
Filesize
3 MB (3001303 bytes)
Pages
153\153
Orientation
yes
Scanned
no
Time added
2012-03-17 06:00:00
Математика;Теория вероятностей и математическая ст

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. 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.

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