An Introduction to Error Analysis

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Author: John R. Taylor

ISBN-10: 093570275X

ISBN-13: 9780935702750

Category: Computer Mathematics

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Preface to the Second EditionPreface to the First EditionCh. 1Preliminary Description of Error Analysis3Ch. 2How to Report and Use Uncertainties13Ch. 3Propagation of Uncertainties45Ch. 4Statistical Analysis and Random Uncertainties93Ch. 5The Normal Distribution121Ch. 6Rejection of Data165Ch. 7Weighted Averages173Ch. 8Least-Squares Fitting181Ch. 9Covariance and Correlation209Ch. 10The Binomial Distribution227Ch. 11The Poisson Distribution245Ch. 12The Chi-Squared Test for a Distribution261App. ANormal Error Integral, I286App. BNormal Error Integral, II288App. CProbabilities for Correlation Coefficients290App. DProbabilities for Chi Squared292App. ETwo Proofs Concerning Sample Standard Deviations294Bibliography299Answers to Quick Checks and Odd-Numbered Problems301Index323