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Academic & Professional Books  Reference  Data Analysis & Modelling  Data Analysis & Statistics

Measurements and Their Uncertainties A Practical Guide to Modern Error Analysis

Textbook Handbook / Manual
By: Ifan G Hughes(Author), Thomas PA Hase(Author)
136 pages, 75 b/w illustrations
Measurements and Their Uncertainties
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  • Measurements and Their Uncertainties ISBN: 9780199566334 Paperback Jul 2010 Usually dispatched within 6 days
  • Measurements and Their Uncertainties ISBN: 9780199566327 Hardback Jul 2010 Usually dispatched within 6 days
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About this book Contents Customer reviews Related titles

About this book

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. Measurements and Their Uncertainties finishes with a discussion of advanced fitting strategies and an introduction to Bayesian analysis.


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

Customer Reviews

Textbook Handbook / Manual
By: Ifan G Hughes(Author), Thomas PA Hase(Author)
136 pages, 75 b/w illustrations
Media reviews

"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

"This is a rather beautiful little book."
– David J. Hand, International Statistical Review

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