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 83
Page 10
... defined with respect to the mean , rather than the median or most probable value . If μ is the true value of the quantity , d , is also the true error in Xi- The average of the deviations d must vanish by virtue of the definition of the ...
... defined with respect to the mean , rather than the median or most probable value . If μ is the true value of the quantity , d , is also the true error in Xi- The average of the deviations d must vanish by virtue of the definition of the ...
Page 28
... define an interval in which the value of the observation x will fall . The probability density function is properly defined such that the proba- bility dPG ( x ; μ , σ ) that the value of a random observation will fall within an inter ...
... define an interval in which the value of the observation x will fall . The probability density function is properly defined such that the proba- bility dPG ( x ; μ , σ ) that the value of a random observation will fall within an inter ...
Page 31
... defined at O and positive integral values of the variable x , whereas the Gaussian function is defined at all values of x . 2.4 LORENTZIAN DISTRIBUTION There are many other distributions that appear in scientific research . Some are phe ...
... defined at O and positive integral values of the variable x , whereas the Gaussian function is defined at all values of x . 2.4 LORENTZIAN DISTRIBUTION There are many other distributions that appear in scientific research . Some are phe ...
Other editions - View all
Data Reduction and Error Analysis for the Physical Sciences Philip R. Bevington,D. Keith Robinson No preview available - 2003 |
Common terms and phrases
a₁ a₂ Appendix approximation assume binomial distribution bins CALCCHISQ calculated Chapter CHI2 CHISQR column correlation corresponding counts per minute data of Example data points data sample decay defined degrees of freedom determined digit ENDIF Equation error matrix estimate experiment experimental factor fiducial Figure fitting function function y(x Gaussian distribution Gaussian function Gaussian probability graph histogram independent variable integral interval inverse matrix kaon least-squares fit Legendre polynomials likelihood function linear linear-correlation coefficient mean and standard mean µ minimum nonlinear number of counts number of degrees number of events observations obtain parameters parent distribution parent population particles peak plot Poisson distribution polynomial probability density probability density function probability distribution probability function problem random numbers result RETURN END routines SAN DIEGO square standard deviation starting values statistical Table tion uncertainties v₁ v₂ value of x² variance x₁ y₁ σ² στ