Data Reduction and Error Analysis for the Physical Sciences
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++.
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This book is one of the few I've found in which the finer details of error analysis and statistics aren't "swept under the rug." It's an excellent book, and I've used it countless times since my first year as a Physics major.
For over a decade this book has been my go-to source for methods of calculating uncertainty and for methods of non-linear model fitting. If I could only have a handful of technical books, this would be one of them.
Estimates of Mean and Errors
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