Opening with an extensive review of random variables and standard distribution, this book provides a completely up-to-date platform for learning the basic concepts used in testing hypotheses. Details critical regions and probabilities of error. Explains the basic theory and application of some distribution-free tests, and follows with a discussion of hypothesis testing, including a proof of the Neyman-Pearson Theorem. Displays and analyzes print-outs from the Minitab statistical package. For mathematicians and statisticians.
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Intended as a first course in hypothesis testing and related topics from the classical point of view, this text opens with an extensive review of basic results concerning random variables and standard distribution. The authors then broach the main subject of the book - the basic concepts used in testing hypotheses. Covering critical regions and probabilities of error, the text contains illustrations of the standard distributions. The basic theory and application of some distribution-free tests is then considered, and this is followed by a more rigorous discussion of hypothesis testing, including a proof of the Neyman-Pearson theorem. Direct applications are provided to illustrate this and indications of how the associated techniques can be extended to the usual test associated with the normal distribution are discussed. An important feature of the book is the introduction of statistical packages. At appropriate places in the text, relevant print-outs from the Minitab statistical package are displayed, analyzed and placed in context.
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