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VOL. 49 | 2006 Frequentist statistics as a theory of inductive inference

Abstract

After some general remarks about the interrelation between philosophical and statistical thinking, the discussion centres largely on significance tests. These are defined as the calculation of $p$-values rather than as formal procedures for ``acceptance'' and ``rejection.'' A number of types of null hypothesis are described and a principle for evidential interpretation set out governing the implications of $p$-values in the specific circumstances of each application, as contrasted with a long-run interpretation. A variety of more complicated situations are discussed in which modification of the simple $p$-value may be essential.

Information

Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1268.62006
MathSciNet: MR2337831

Digital Object Identifier: 10.1214/074921706000000400

Subjects:
Primary: 62B15, 62F03

Rights: Copyright © 2006, Institute of Mathematical Statistics

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