## Data reduction and error analysis for the physical sciencesThe 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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### Contents

Probability Distributions | 17 |

Error Analysis | 36 |

Estimates of Mean and Errors | 51 |

Copyright | |

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Appendix approximation assume background binomial distribution bins calculated Chapter CHI2 CHISQ2 column consider correlation corresponding counts per minute data of Example data points data sample decay defined degrees of freedom determined digit ENDIF ENDlF Equation error matrix estimate Example 6.2 experiment experimental factor fiducial Figure fitting function fluctuations Gaussian distribution Gaussian function Gaussian probability graph histogram INCLUDE independent variable integral interpolation interval inverse inverse matrix kaon least-squares fit Legendre polynomials likelihood function linear linear-correlation coefficient Lorentzian maximum-likelihood mean and standard minimize x2 minimum Monte Carlo method nonlinear number of counts number of degrees number of events observations obtain parameters parent distribution parent population particles peak plot Poisson distribution probability density function probability distribution probability function problem procedure random numbers result RETURN END routines solution standard deviation starting values statistical student Table tion uncertainties value of x2 variance width