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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science
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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science Hardback - 2021

by Aubrey Clayton

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Reader reviews for Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science

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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.

Details

  • Title Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science
  • Author Aubrey Clayton
  • Binding Hardback
  • Pages 368
  • Volumes 1
  • Language ENG
  • Publisher Columbia University Press
  • Publication date 2021-08-03
  • Features Bibliography, Index
  • ISBN 9780231199940 / 0231199945
  • Weight 1.5 lbs (0.68 kg)
  • Dimensions 9.29 x 6.14 x 1.18 in (23.60 x 15.60 x 3.00 cm)
  • Category Mathematics
  • Library of Congress subjects Law of large numbers, Mathematical statistics - Philosophy
  • Library of Congress Catalogue Number 2021004250
  • Dewey Decimal Code 519.2

Media reviews

Citations

  • Choice, 02/01/2022, Page 0

About the author

Aubrey Clayton is a mathematician who teaches the philosophy of probability and statistics at the Harvard Extension School. He holds a PhD from the University of California, Berkeley, and his writing has appeared in the New York Times, Nautilus, and the Boston Globe.

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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science
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by Clayton, Aubrey

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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science

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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science

by Aubrey Clayton

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Hardback. New. Aubrey Clayton traces the history of the flaw that underlies modern statistics, beginning with the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. 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.
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Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science

by Clayton, Aubrey

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