## 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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according accumulated analytical approximation ARRAY assumed average calculation CALL CHAPTER coefficients column consider constant continued corresponding counts curve data points defined definition degrees of freedom DELTAA derivatives described DESCRIPTION determinant diagonal DIMENSION discussed distribution elements equal Equation error estimated evaluated example expansion expected experiment experimental expression factor Figure fitting function follows Fortran FUNCTN Gaussian given gradient illustrated increase increments independent indicated integral interpolation interval inverse least least-squares fitting linear matrix mean measurements method MODE MODIFICATIONS Note NPTS NTERMS observations parameters peak polynomial precision probability Program quantity random range reasonable reduced represents REQUIRED respect result RETURN routine sample SIGMAY simultaneous smoothing solution space specified squares standard deviation statements statistical subroutine symmetric symmetric matrix Table tion uncertainties variable variance variation weighting xạ YFIT yield Δα