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Excerpt from On the Foundations of Statistical Inference, I: Binary Experiments
Introduction and summary; Mathematical developments; The canonical form of a binary experiment; Simple binary experiments; The partial ordering of simple binary experiments; Mixtures of simple binary experiments; Decomposition theorem for binary experiments; The partial ordering of binary experiments; Inference methods with probabilistic justifications; On the mathematical treatment of statistical inference problems; Two-decision problems; tests of statistical hypotheses; Multi-decision problems; tests based on critical levels; Inference methods with intrinsic justifications; Evidential interpretations of outcomes; Symmetric simple binary experiments; Symmetric binary experiments; Binary experiments in general; Inferences based on the likelihood function; Appraisal and design of experiments for informative inference; Relations between statistical evidence and significance tests; Discussion; Relations of statistical evidence to prior information and to conclusions; References and acknowledgments; The algebra of statistical experiments
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On the Foundations of Statistical Inference, I: Binary Experiments
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Paperback. Condizione: New. Print on Demand. This book explores how statistical inference problems can be solved directly from the likelihood functions of binary experiments, providing interpretations of their numerical values in terms of probabilities of committing various types of errors. It establishes the likelihood function as the primary, sufficient basis for making inferences and presents a novel analysis of problems of informative inference, which are usually formulated in terms of hypothesis testing and decision making. The book argues that evidential interpretations of outcomes in terms of supporting or refuting specific statistical hypotheses are not only valid but necessary for understanding the role of statistical experiments in empirical research. By focusing on the likelihood function and its properties, the author provides a fresh perspective on the foundations of statistical inference that challenges the dominance of hypothesis testing in statistical practice. This book will be of interest to statisticians, philosophers of science, and anyone interested in the foundations of statistical inference, particularly as it relates to problems of informative inference. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781330258644_0
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