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Likelihood ratios are alternatives to P values
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EDITOR
In their critique of P values Sterne and Davey Smith omit two
crucial reasons why P values do not adequately reflect evidence.1
Firstly, their statement (borrowed from Fisher) that "P values measure the strength of the evidence against the null hypothesis" does not stand up to scrutiny. A small P value means that what we observe is possible but not very likely under the null hypothesis. But then life is made up of unlikely events. P values cannot deliver evidence against a hypothesis, no matter how low the cut-off point for saying that a result is significant. Short of P=0, there is no such thing as evidence against a hypothesis.
Secondly, if evidence is what the data say then P values fail to
qualify. P values are based on factors other than the observed data,
notably on results "more extreme than these." The P value is
literally the
what's wrong with significance tests? Another comment on the role of statistical methods
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