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++. |
From inside the book
Results 1-3 of 13
Page 157
... YFIT ( I ) = YFIT ( I ) + A ( J ) * P ( I , J ) 121 CHISQ = 0 . DO 123 = 1 , NPTS 123 CHISQ = CHISQ + ( Y ( 1 ) FREE = NPTS - NCOEFF CHISQR = CHISQ / FREE TEST FOR END OF FIT - YFIT ( I ) ) ** 2 * WEIGHT ( I ) 131 IF ( NTERMS - JMAX ) ...
... YFIT ( I ) = YFIT ( I ) + A ( J ) * P ( I , J ) 121 CHISQ = 0 . DO 123 = 1 , NPTS 123 CHISQ = CHISQ + ( Y ( 1 ) FREE = NPTS - NCOEFF CHISQR = CHISQ / FREE TEST FOR END OF FIT - YFIT ( I ) ) ** 2 * WEIGHT ( I ) 131 IF ( NTERMS - JMAX ) ...
Page 174
... YFIT ( I ) = YFIT ( I ) + A ( J ) * FCTN ( X , 1 , J , M ) 111 DO 113 1 = 1 , NPTS YFIT ( I ) = YFIT ( 1 ) + AO 113 CHISQ = CHISQ + WEIGHT ( 1 ) * ( Y ( 1 ) YFIT ( 1 ) ) ** 2 FREEN = NPTS - NTERMS - 1 115 CHISQR = CHISO * WMEAN / FREEN ...
... YFIT ( I ) = YFIT ( I ) + A ( J ) * FCTN ( X , 1 , J , M ) 111 DO 113 1 = 1 , NPTS YFIT ( I ) = YFIT ( 1 ) + AO 113 CHISQ = CHISQ + WEIGHT ( 1 ) * ( Y ( 1 ) YFIT ( 1 ) ) ** 2 FREEN = NPTS - NTERMS - 1 115 CHISQR = CHISO * WMEAN / FREEN ...
Page 238
... Y , SIGMAY , NPTS , NTERMS , MODE , A , DELTAA , 1 SIGMAA , FLAMDA , YFIT , CHISQR ) DOUBLE PRECISION ARRAY DIMENSION X ( 1 ) , Y ( 1 ) , SIGMAY ( 1 ) , A ( 1 ) , DELTAA ( 1 ) , SIGMAA ( 1 ) , 1 YFIT ( 1 ) DIMENSION WEIGHT ( 100 ) ...
... Y , SIGMAY , NPTS , NTERMS , MODE , A , DELTAA , 1 SIGMAA , FLAMDA , YFIT , CHISQR ) DOUBLE PRECISION ARRAY DIMENSION X ( 1 ) , Y ( 1 ) , SIGMAY ( 1 ) , A ( 1 ) , DELTAA ( 1 ) , SIGMAA ( 1 ) , 1 YFIT ( 1 ) DIMENSION WEIGHT ( 100 ) ...
Other editions - View all
Common terms and phrases
according to Equation AGAUSS ALPHA approximation ARRAY OF DATA average binomial distribution calculated CHI SQUARE CHISQR coins computer routine correlation counts/min curve defined degrees of freedom DELTAA derivatives DESCRIPTION OF PARAMETERS determine DOUBLE PRECISION equal error estimate evaluated in statement experiment experimental FCHISQ Figure fit the data fitting function fluctuations FORTRAN II FUNCTION SUBPROGRAMS REQUIRED FUNCTN Gaussian distribution given IMAX increments integral interval inverse inverse matrix LEAST-SQUARES FIT Legendre polynomial linear linear-correlation coefficient Lorentzian distribution matrix mean measurements minimum MODE MODIFICATIONS FOR FORTRAN NFREE NORDER NPTS NTERMS number of counts number of degrees NUMBER OF ITEMS parent distribution parent population peak Poisson distribution probability distribution probability function Program random result RETURN END sample SIGMAY square standard deviation statistical SUBROUTINES AND FUNCTION SUMX symmetric tion uncertainties value of x² variance WEIGHT(I YFIT YFIT(I yield δα σι στ дак