## Institute of Mathematical Statistics Lecture Notes - Monograph Series

### 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.

#### Chapter information

Source
Javier Rojo, ed., Optimality: The Second Erich L. Lehmann Symposium (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 77-97

Dates
First available in Project Euclid: 28 November 2007

https://projecteuclid.org/euclid.lnms/1196283956

Digital Object Identifier
doi:10.1214/074921706000000400

Mathematical Reviews number (MathSciNet)
MR2337831

Zentralblatt MATH identifier
1268.62006

Rights