Aubrey Clayton, "Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science" (Columbia UP, 2021)

Feb 10, 2022

Aubrey Clayton, author of 'Bernoulli's Fallacy', delves into the logical flaws in statistical methods that threaten modern science. He reveals how misunderstandings of probability have led to the reproducibility crisis across disciplines. Exploring the historical roots from gambling to social sciences, Clayton illustrates how biases shaped statistical practices, particularly eugenics. He advocates for Bayesian approaches, emphasizing the need for improved statistical literacy to navigate uncertainties and enhance decision-making in society.

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ANECDOTE

Monty Hall And A Gambling Wake-Up

Aubrey Clayton recounts learning the Monty Hall problem and receiving angry mail to appreciate probabilistic humility.
A gambling data project later forced him to confront practical probability and the philosophy behind it.

INSIGHT

Probability As Logical Reasoning

Probability is the logic of reasoning under incomplete information, combining objective and subjective aspects.
Aubrey Clayton argues this view replaces purely frequentist or purely subjective definitions for all real-world uses.

INSIGHT

The Founding Trio Of Modern Statistics

Francis Galton, Karl Pearson, and Ronald Fisher shaped modern statistical practice and terminology.
Many core tools in today's science trace back to their work and influence.

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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: Statistical Illogic and the Crisis of Modern Science (Columbia UP, 2021) explains why something has gone wrong with how we use data--and how to fix it.

Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland.

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