Abstract
After some general remarks about the interrelation between\nphilosophical and statistical thinking, the discussion centres largely on\nsignificance tests. These are defined as the calculation of $p$-values rather\nthan as formal procedures for ``acceptance'' and ``rejection.'' A number of types\nof null hypothesis are described and a principle for evidential interpretation\nset out governing the implications of $p$-values in the specific circumstances\nof each application, as contrasted with a long-run interpretation. A variety of\nmore complicated situations are discussed in which modification of the simple\n$p$-value may be essential.
Keywords
Frequentist inferenceInterpretation (philosophy)Statistical inferenceNull hypothesisInferenceVariety (cybernetics)EpistemologyInductive reasoningValue (mathematics)Set (abstract data type)Simple (philosophy)Null (SQL)StatisticsMathematicsStatistical hypothesis testingComputer sciencePhilosophyData miningBayesian inferenceBayesian probability
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Publication Info
- Year
- 2006
- Type
- book-chapter
- Pages
- 77-97
- Citations
- 121
- Access
- Closed
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Cite This
Deborah G. Mayo,
David Cox
(2006).
Frequentist statistics as a theory of inductive inference.
Institute of Mathematical Statistics eBooks
, 77-97.
https://doi.org/10.1214/074921706000000400
Identifiers
- DOI
- 10.1214/074921706000000400