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Wiley InterScience

Journal of the Royal Statistical Society: Series A (Statistics in Society)

Journal of the Royal Statistical Society: Series A (Statistics in Society)

Volume 168 Issue 3, Pages 615 - 627

Published Online: 9 Jun 2005

© 2010 The Royal Statistical Society and Blackwell Publishing Ltd



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De Morgan in the prehistory of statistical hypothesis testing
Adrian Rice 1 and Eugene Seneta 2
  1 Randolph-Macon College, Ashland, USA
  2 University of Sydney, Australia
Correspondence to A. Rice, Department of Mathematics, Randolph-Macon College, Ashland, VA 23005-5505, USA.
E-mail: arice4@rmc.edu
Copyright 2005 Royal Statistical Society
KEYWORDS
Bayes's theorem • Boole • Concordance • De Morgan • Distribution of a sum • Hypothesis testing • Laplace • Planetary orbits

ABSTRACT

Summary. Whereas the research of the 19th-century mathematician Augustus De Morgan in formal logic is fairly familiar to historians of mathematics, his work in probability is largely unknown to the modern reader. For this reason, few would be aware that this work contains a self-admitted error in probabilistic reasoning. This mistake is intriguing not only because it features in the work of someone who was so expert in logic but also because it appears to be an early example of hypothesis testing, which was a topic of much controversy in the development of mathematical statistics in the 20th century. The paper examines the mathematical and historical details of De Morgan's error.


[Received February 2004. Revised December 2004]

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1467-985X.2005.00367.x About DOI

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