BMJ 2001;322:1184 ( 12 May )

Letters

Sifting the evidence

    Likelihood ratios are alternatives to P values
    Statistics must not be confused with science
    Perfect understanding seldom happens

Likelihood ratios are alternatives to P values

The first 150 words of the full text of this article appear below.

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 . . . [Full text of this article]


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Relevant Article

Sifting the evidence---what's wrong with significance tests? Another comment on the role of statistical methods
Jonathan A C Sterne, George Davey Smith, and D R Cox
BMJ 2001 322: 226-231. [Extract] [Full Text] [PDF]

Rapid Responses:

Read all Rapid Responses

In Defense of Hypothesis Testing
Vance W Berger
bmj.com, 9 Sep 2001 [Full text]



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