Data Reduction and Error Analysis for the Physical Sciences, Volume 1This book is designed as a laboratory companion, student textbook or reference book for professional scientists. The text is for use in one-term numerical analysis, data and error analysis, or computer methods courses, or for laboratory use. It is for the sophomore-junior level, and calculus is a prerequisite. The new edition includes applications for PC use. |
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a₁ Appendix approximation assume average background begin calculated called Chapter coefficients consider constant correlation corresponding curve data points decay defined degrees of freedom dependent derivatives determine discussed distribution elements equal Equation error estimate Example expect experiment experimental expression factor Figure fitting function function Gaussian Gaussian distribution given graph histogram included independent indicated integral interval likelihood limits linear listed matrix mean measurements method Monte Carlo normalized Note number of counts observations obtain parameters parent distribution particles peak plot Poisson distribution polynomial possible precision predicted probability problem procedure quantity range reasonable reduce region relative repeat represent respect result root routines sample solution square standard deviation starting statistical step Table true uncertainties unit value of x² variable variance weighted yield