- The interpretation of p-values is misleading, because they do not provide probabilities of hypotheses, though they sound and are commonly interpreted as such.
- Methods based on p-values pretend to provide answers only based on the statistical properties of the null hypothesis, without taking into account if other hypotheses are conceivable, and how the alternative hypotheses describe the data. For example, these methods do not take into account the fact that a supposed signal appears at a given place rather than elsewhere, which bins could be affected by a physical model and how reasonable a model is.
- These methods provide only binary answers, accepted/rejected. As a consequence they are not efficient enough to analyze rare phenomena, which can only be discovered by a proper combination of (even very) small pieces of evidence.

Giulio D'Agostini 2005-01-09