Author: Aubrey Clayton
Publisher: Columbia University Press
ISBN: 0231553358
Category : Mathematics
Languages : en
Pages : 641
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Book Description
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.
Author: John Foster Kirk
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 776
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Book Description
Author: Thomas Sowell
Publisher: Basic Books
ISBN: 0465026303
Category : Business & Economics
Languages : en
Pages : 295
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Book Description
Thomas Sowell “both surprises and overturns received wisdom” in this indispensable examination of widespread economic fallacies (The Economist) Economic Facts and Fallacies exposes some of the most popular fallacies about economic issues-and does so in a lively manner and without requiring any prior knowledge of economics by the reader. These include many beliefs widely disseminated in the media and by politicians, such as mistaken ideas about urban problems, income differences, male-female economic differences, as well as economics fallacies about academia, about race, and about Third World countries. One of the themes of Economic Facts and Fallacies is that fallacies are not simply crazy ideas but in fact have a certain plausibility that gives them their staying power-and makes careful examination of their flaws both necessary and important, as well as sometimes humorous. Written in the easy-to-follow style of the author's Basic Economics, this latest book is able to go into greater depth, with real world examples, on specific issues.
Author: Frederic Boase
Publisher: Litres
ISBN: 5041269645
Category : Biography & Autobiography
Languages : en
Pages : 1860
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Author:
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1208
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Book Description
Author:
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 1402
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Book Description
Vols. for 1871-76, 1913-14 include an extra number, The Christmas bookseller, separately paged and not included in the consecutive numbering of the regular series.
Author:
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 1522
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Book Description
Vols. for 1871-76, 1913-14 include an extra number, The Christmas bookseller, separately paged and not included in the consecutive numbering of the regular series.
Author: Samuel Austin Allibone
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 754
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Book Description
Author: M. Kathleen Heid
Publisher: IAP
ISBN: 1607529521
Category : Mathematics
Languages : en
Pages : 448
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Book Description
According to NCTM’s Principles and Standards for School mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students’ learning.” How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.
Author: Samuel Austin Allibone
Publisher:
ISBN:
Category :
Languages : en
Pages : 758
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Book Description
