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    Measurements and Their Uncertainties: A Practical Guide to Modern Error Analysis (Paperback) By (author) Ifan Hughes, By (author) Thomas Hase

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    DescriptionThis 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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  • Full bibliographic data for Measurements and Their Uncertainties

    Measurements and Their Uncertainties
    A Practical Guide to Modern Error Analysis
    Authors and contributors
    By (author) Ifan Hughes, By (author) Thomas Hase
    Physical properties
    Format: Paperback
    Number of pages: 160
    Width: 184 mm
    Height: 244 mm
    Thickness: 10 mm
    Weight: 358 g
    ISBN 13: 9780199566334
    ISBN 10: 019956633X

    BIC E4L: MAT
    B&T Book Type: NF
    Nielsen BookScan Product Class 3: S7.9T
    B&T Modifier: Region of Publication: 03
    B&T Modifier: Academic Level: 05
    Ingram Subject Code: SE
    B&T General Subject: 710
    Warengruppen-Systematik des deutschen Buchhandels: 16100
    B&T Modifier: Text Format: 06
    B&T Approval Code: A51580000
    BISAC V2.8: SCI055000, SCI000000
    BIC subject category V2: PBC
    B&T Merchandise Category: UP
    BISAC V2.8: MAT034000, MAT000000, SCI040000
    LC subject heading:
    DC22: 511.43
    B&T Approval Code: A51302000
    BISAC V2.8: MAT020000
    BIC subject category V2: PDDM
    LC classification: QA275 .H845 2010
    Thema V1.0: PDD, PBC
    Illustrations note
    75 b/w line illustrations
    Oxford University Press
    Imprint name
    Oxford University Press
    Publication date
    01 October 2010
    Publication City/Country
    Author Information
    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.
    Review quote
    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
    Table of 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