Data Reduction and Error Analysis for the Physical Sciences

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Author: Philip Bevington

ISBN-10: 0072472278

ISBN-13: 9780072472271

Category: Computer Mathematics

The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical...

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The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical techniques. Computer programs that support these techniques will be available on an accompanying website in both Fortran and C++.

1 Uncertainties in Measurements2 Probability Distributions3 Error Analysis4 Estimates of Mean and Errors5 Monte Carlo Techniques6 Least-Squares Fit to a Straight Line7 Least-Squares Fit to a Polynomial8 Least-Squares Fit to an Arbitrary Function9 Fitting Composite Curves10 Direct Application of the Maximum-Likelihood Method11 Testing the FitAppendix A Numerical MethodsAppendix B MatricesAppendix C Graphs and TablesAppendix D Histograms and GraphsAppendix E Computer Routines in Fortran