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Bridging the gap between statistical theory and physical experiment, this is a thorough introduction to the statistical methods used in the experimental physical sciences and to the numerical methods used to implement them. An accompanying CD-ROM provides detailed code for implementing many of these algorithms. The treatment emphasises concise but rigorous mathematics but always retains its focus on applications. Readers are assumed to have a sound basic knowledge of differential and integral calculus and some knowledge of vectors and matrices. After an introduction to probability, random variables, computer generation of random numbers and important distributions, the book turns to statistical samples, the maximum likelihood method, and the testing of statistical hypotheses. The discussion concludes with several important statistical methods: least squares, analysis of variance, polynomial regression, and analysis of time series. Appendices provide the necessary methods of matrix algebra, combinatorics, and many sets of useful algorithms and formulae.
Bridging the gap between statistical theory and physical
experiment, this is a thorough introduction to the statistical
methods used in the experimental physical sciences and to the
numerical methods used to implement them. The treatment emphasises
concise but rigorous mathematics but always retains its focus on
applications. Readers are assumed to have a sound basic knowledge
of differential and integral calculus and some knowledge of vectors
and matrices. After an introduction to probability, random
variables, computer generation of random numbers and important
distributions, the book turns to statistical samples, the maximum
likelihood method, and the testing of statistical hypotheses. The
discussion concludes with several important statistical methods:
least squares, analysis of variance, polynomial regression, and
analysis of time series. Appendices provide the necessary methods
of matrix algebra, combinatorics, and many sets of useful
algorithms and formulae.
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