## Data reduction and error analysis for the physical sciencesSystematic and random errors; Mean and standard deviation; Distributions; Propagation of errors; Estimates of mean and errors; Least-squares fit to a straight line; Correlation probability; Multiple regression; Polynomial; Goodness of fit; Calculus; Matrices; Graphs and tables. |

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according to Equation approximation ARRAY OF DATA average binomial distribution calculation CHISQR column computer routine correlation curve data points defined degrees of freedom DELTA derivatives DESCRIPTION OF PARAMETERS determine DOUBLE PRECISION SPECIFICATIONS equal estimate evaluated in statements experimental FCHISQ Figure fit the data fitting function FUNCTION SUBPROGRAMS REQUIRED function y(x FUNCTN Gaussian distribution given gradient IMAX INDEPENDENT VARIABLE integral interpolation interval inverse inverse matrix LEAST-SQUARES FIT Legendre polynomial linear linear-correlation coefficient Lorentzian distribution MATINV mean measurements method of least minimum MODE MODIFICATIONS FOR FORTRAN NFREE NPTS NTERMS number of counts number of degrees OMIT DOUBLE PRECISION parent distribution parent population peak Poisson distribution probability distribution probability function Program random reduced chi-square result RETURN END sample SIGMAY simultaneous equations square matrix standard deviation SUBROUTINES AND FUNCTION symmetric symmetric matrix tion value of x2 variance WEIGHT(I weighting factor x2 with respect YFIT YFIT(I yield