Bevington Philip R., Robinson D. Keith. Data Reduction and Error Analysis for the Physical Sciences

McGraw-Hill, 2003. — 320 p.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.Uncertainty in Measurements
Probability Distributions
Error Analysis
Estimates of Mean and Errors
Monte Carlo Techniques
Least-Squares Fit to a Straight Line
Least-Squares Fit to a Polynomial
Least Squares Fit to an Arbitrary Function
Fitting Composite Curves
Direct Application of the Maximum-Likelihood Method
Testing the Fit