Bernoulli's Fallacy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bernoulli's Fallacy write by Aubrey Clayton. This book was released on 2021-08-03. Bernoulli's Fallacy available in PDF, EPUB and Kindle. There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics. Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach—that is, to incorporate prior knowledge when reasoning with incomplete information—in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.
Bernoulli's Fallacy
Bernoulli's Fallacy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bernoulli's Fallacy write by . This book was released on 2022-09-20. Bernoulli's Fallacy available in PDF, EPUB and Kindle.
Probability Theory
Probability Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability Theory write by . This book was released on 2013. Probability Theory available in PDF, EPUB and Kindle. Probability theory
The Theory of Probability
The Theory of Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Theory of Probability write by Harold Jeffreys. This book was released on 1998-08-06. The Theory of Probability available in PDF, EPUB and Kindle. Another title in the reissued Oxford Classic Texts in the Physical Sciences series, Jeffrey's Theory of Probability, first published in 1939, was the first to develop a fundamental theory of scientific inference based on the ideas of Bayesian statistics. His ideas were way ahead of their time and it is only in the past ten years that the subject of Bayes' factors has been significantly developed and extended. Until recently the two schools of statistics (Bayesian and Frequentist) were distinctly different and set apart. Recent work (aided by increased computer power and availability) has changed all that and today's graduate students and researchers all require an understanding of Bayesian ideas. This book is their starting point.
Combinatorics of Genome Rearrangements
Combinatorics of Genome Rearrangements - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorics of Genome Rearrangements write by Guillaume Fertin. This book was released on 2009. Combinatorics of Genome Rearrangements available in PDF, EPUB and Kindle. A comprehensive survey of a rapidly expanding field of combinatorial optimization, mathematically oriented but offering biological explanations when required. From one cell to another, from one individual to another, and from one species to another, the content of DNA molecules is often similar. The organization of these molecules, however, differs dramatically, and the mutations that affect this organization are known as genome rearrangements. Combinatorial methods are used to reconstruct putative rearrangement scenarios in order to explain the evolutionary history of a set of species, often formalizing the evolutionary events that can explain the multiple combinations of observed genomes as combinatorial optimization problems. This book offers the first comprehensive survey of this rapidly expanding application of combinatorial optimization. It can be used as a reference for experienced researchers or as an introductory text for a broader audience. Genome rearrangement problems have proved so interesting from a combinatorial point of view that the field now belongs as much to mathematics as to biology. This book takes a mathematically oriented approach, but provides biological background when necessary. It presents a series of models, beginning with the simplest (which is progressively extended by dropping restrictions), each constructing a genome rearrangement problem. The book also discusses an important generalization of the basic problem known as the median problem, surveys attempts to reconstruct the relationships between genomes with phylogenetic trees, and offers a collection of summaries and appendixes with useful additional information.
