## Data Reduction and Error Analysis for the Physical SciencesMcGraw-Hill, 1969 - 336 pages 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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a₁ according to Equation ALPHA approximation ARRAY OF DATA average binomial distribution calculation CHI SQUARE CHISQR computer routine correlation curve defined degrees of freedom DELTAA derivatives DESCRIPTION OF PARAMETERS determine DOUBLE PRECISION equal error estimated evaluated in statements F test FCHISQ Figure fit the data fitting function FUNCTION SUBPROGRAMS REQUIRED function y(x FUNCTN Gaussian distribution gradient IMAX INDEPENDENT VARIABLE integral interpolation interval inverse inverse matrix JTERMS LEAST-SQUARES FIT Legendre polynomial linear linear-correlation coefficient Lorentzian distribution MATINV mean measurements method of least minimum MODE MODIFICATIONS FOR FORTRAN NFREE NORDER NPTS NTERMS number of counts number of degrees observations parent distribution parent population Poisson distribution probability distribution probability function Program reduced chi-square result RETURN END sample SIGMAY standard deviation statistical SUBROUTINES AND FUNCTION symmetric tion uncertainties value of x² variance WEIGHT(1 YFIT yield δα σι στ дак