An introduction to statistical inference and its applications with R /
[Book]
Michael W. Trosset.
Boca Raton :
CRC Press,
c2009.
xxvii, 467 p. :
ill. ;
25 cm.
Chapman & Hall/CRC texts in statistical science series
"A Chapman & Hall book."
Includes bibliographical references and index.
Experiments -- Mathematical preliminaries -- Probability -- Discrete random variables -- Continuous random variables -- Quantifying population attributes -- Data -- Lots of data -- Inference -- 1-sample location problems -- 2-sample location problems -- The analysis of variance -- Goodness-of-fit -- Association -- Simple linear regression -- Simulation-based inference.
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"Emphasizing concepts rather than recipes, An Introduction to Statistical Inference and Its Applications with R provides a clear exposition of the methods of statistical inference for students who are comfortable with mathematical notation. Numerous examples, case studies, and exercises are included. R is used to simplify computation, create figures, and draw pseudorandom samples - not to perform entire analyses. After discussing the importance of chance in experimentation, the text develops basic tools of probability. The plug-in principle then provides a transition from populations to samples, motivating a variety of summary statistics and diagnostic techniques. The heart of the text is a careful exposition of point estimation, hypothesis testing, and confidence intervals. The author then explains procedures for 1- and 2-sample location problems, analysis of variance, goodness-of-fit, and correlation and regression. He concludes by discussing the role of simulation in modern statistical inference."--Publisher's description.