The logic of p-values

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20171213 PSYARXIV - The logic of p-values (preprint).pdf(153.83 KB)
Date
2017-12-13
DOI
10.17605/OSF.IO/Z9UA2
Open Access Location
https://psyarxiv.com/z9ua2/
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Journal ISSN
Volume Title
Publisher
PsyArxiv Preprints
Rights
CC-By Attribution 4.0 International
Abstract
Wagenmakers et al. addressed the illogic use of p-values in 'Psychological Science under Scrutiny'. While historical criticisms mostly deal with the illogical nature of null hypothesis significance testing (NHST), Wagenmakers et al. generalize such argumentation to the p-value itself. Unfortunately, Wagenmakers et al. misinterpret the formal logic basis of tests of significance (and, by extension, of tests of acceptance). This article highlights three instances where such logical interpretation fails and provides plausible corrections and further clarification.
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Keywords
Bayesian logic, Frequentist logic, p-value, modus ponens, modus tollens
Citation
2017
URI
http://hdl.handle.net/10179/20259
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Internet Publication