Nontechnical survey helps improve ability to judge statistical evidence and to make better-informed decisions. Discusses common pitfalls: unrealistic estimates, improper comparisons, premature conclusions, and faulty thinking about probability. 1974 edition.

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.

In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. Topics includenbsp;the theory of probability in relation to superstitions, betting odds, warfare,nbsp;social problems, stocks, and other areas. "Clear and lively ...nbsp;remarkably accurate." —Scientific Monthly.

Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

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.

“This short book makes you smarter than 99% of the population. . . . The concepts within it will increase your company’s ‘organizational intelligence.’. . . It’s more than just a must-read, it’s a ‘have-to-read-or-you’re-fired’ book.”—Geoffrey James, INC.com From the author of An Illustrated Book of Loaded Language, here’s the antidote to fuzzy thinking, with furry animals! Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle). Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences). Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments—which makes this geek-chic book a must for anyone in the habit of holding opinions.

The Fallacy Detective has been the best selling text for teaching logical fallacies and introduction to logic for over 15 years. "Can learning logic be fun? With The Fallacy Detective it appears that it can be. I thoroughly enjoyed this book and would recommend it to anyone who wants to improve his reasoning skills."--Tim Challies, curriculum reviewer "Cartoon and comic illustrations, humorous examples, and a very reader-friendly writing style make this the sort of course students will enjoy."--Cathy Duffy, homeschool curriculum reviewer "I really like The Fallacy Detective because it has funny cartoons, silly stories, and teaches you a lot!"--11 Year Old What is a fallacy? A fallacy is an error in logic a place where someone has made a mistake in his thinking. This is a handy book for learning to spot common errors in reasoning. - For ages twelve through adult. - Fun to use -- learn skills you can use right away. - Peanuts, Dilbert, and Calvin and Hobbes cartoons. - Includes The Fallacy Detective Game. - Exercises with answer key.