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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according to Equation approximation ARRAY DF DATA average binomial distribution calculation CHISQR computer routine correlation curve DATA PDINTS FDR data points DDUBLE PRECISIDN degrees of freedom DELTA derivatives DESCRIPTIDN DF PARAMETERS determine DF DATA PDINTS DIMENSIDN equal error estimate evaluated in statements experimental FCHISQ Figure fitting function fluctuations Fortran function y(x FUNCTN Gaussian distribution GD TD given IMAX INDEPENDENT VARIABLE integral interpolation interval inverse inverse matrix least-squares fitting Legendre polynomial linear linear-correlation coefficient Lorentzian distribution MDDE MDDIFICATIDNS FDR FDRTRAN mean measurements method of least minimum NDRDER NFREE NPTS NTERMS NUMBER DF number of counts number of degrees observations parent distribution parent population Poisson distribution precision probability distribution probability function Program PURPDSE random result RETURN END sample SIGMAY simultaneous equations square matrix standard deviation statistical SUBRDUTINES AND FUNCTIDN subroutine symmetric tion uncertainties value of x2 variance WEIGHT(I weighting factor YFIT YFIT(I yield