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Bernoulli's Fallacy
Statistical Illogic and the Crisis of Modern Science
Buch von Aubrey Clayton
Sprache: Englisch

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Beschreibung
There is a logical flaw in the statistical methods used across experimental science. This fault is not just a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly data-reliant culture, 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 our ability to make inferences from data. 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 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?incorporating 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.
There is a logical flaw in the statistical methods used across experimental science. This fault is not just a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly data-reliant culture, 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 our ability to make inferences from data. 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 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?incorporating 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.
Über den Autor
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.
Inhaltsverzeichnis
Preface
Acknowledgments
Introduction
1. What Is Probability?
2. The Titular Fallacy
3. Adolphe Quetelet's Bell Curve Bridge
4. The Frequentist Jihad
5. The Quote-Unquote Logic of Orthodox Statistics
6. The Replication Crisis/Opportunity
7. The Way Out
Notes
Bibliography
Index
Details
Erscheinungsjahr: 2021
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 368
Inhalt: Gebunden
ISBN-13: 9780231199940
ISBN-10: 0231199945
Sprache: Englisch
Einband: Gebunden
Autor: Clayton, Aubrey
Hersteller: Deg Press
Maße: 237 x 159 x 30 mm
Von/Mit: Aubrey Clayton
Erscheinungsdatum: 03.08.2021
Gewicht: 0,742 kg
preigu-id: 119321417
Über den Autor
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.
Inhaltsverzeichnis
Preface
Acknowledgments
Introduction
1. What Is Probability?
2. The Titular Fallacy
3. Adolphe Quetelet's Bell Curve Bridge
4. The Frequentist Jihad
5. The Quote-Unquote Logic of Orthodox Statistics
6. The Replication Crisis/Opportunity
7. The Way Out
Notes
Bibliography
Index
Details
Erscheinungsjahr: 2021
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 368
Inhalt: Gebunden
ISBN-13: 9780231199940
ISBN-10: 0231199945
Sprache: Englisch
Einband: Gebunden
Autor: Clayton, Aubrey
Hersteller: Deg Press
Maße: 237 x 159 x 30 mm
Von/Mit: Aubrey Clayton
Erscheinungsdatum: 03.08.2021
Gewicht: 0,742 kg
preigu-id: 119321417
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