Abstract
Many proponents of p-values assert that they measure the strength of
the evidence with respect to a #hypothesis. Many proponents of Bayes
Factors assert that they measure the relative strength of the evidence
with respect to competing hypotheses. From a philosophical perspective,
both assertions are problematic because the strength of the evidence
depends on #auxiliaryassumptions, whose worth is not quantifiable by
p-values or Bayes Factors. In addition, from a measurement perspective,
p-values and Bayes Factors fail to fulfill a basic measurement criterion
for validity. For both classes of reasons, p-values and #Bayes Factors do not validly measure the strength of the evidence.
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Measuring the #Strength of the Evidence by AV Belousov in BJSTR
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