Bayes Factors: What They are and What They are Not

Bayes factors have been offered by Bayesians as alternatives to P values (or significance probabilities) for testing hypotheses and for quantifying the degree to which observed data support or conflict with a hypothesis. In an earlier article, Schervish showed how the interpretation of P values as m...

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Veröffentlicht in:The American statistician 1999-05, Vol.53 (2), p.119-122
Hauptverfasser: Lavine, Michael, Schervish, Mark J.
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Schervish, Mark J.
description Bayes factors have been offered by Bayesians as alternatives to P values (or significance probabilities) for testing hypotheses and for quantifying the degree to which observed data support or conflict with a hypothesis. In an earlier article, Schervish showed how the interpretation of P values as measures of support suffers a certain logical flaw. In this article, we show how Bayes factors suffer that same flaw. We investigate the source of that problem and consider what are the appropriate interpretations of Bayes factors.
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subjects Bayes rule
Bayesian analysis
Exact sciences and technology
Mathematics
Measure of support
Multivariate analysis
P values
Probabilities
Probability and statistics
Sciences and techniques of general use
Statistics
title Bayes Factors: What They are and What They are Not
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