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How should P values be reported?

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    John O'Donnell

    If the p value refers to the area under the curve of a probability distribution model e.g. T, Z or Chi distribution each of which have a tail(s) to infinity, is it not incorrect to state  a p value equal to a number between 0 and 1? There is no area under the point on a curve. The p value in such circumstances is an integral between two points one of which is an asymptote. Therefore in null hypothesis significance testing the  p value should always be reported as less than some value.

    If the p value refers to an instantaneous probability such as one might encounter in the graph of time to event analyses then in such a model  the p value is a differential of some point on the curve. I assume then and only then would it be appropriate to state p equal to some value between 0 and 1.

    Please correct me if I am wrong in my interpretation.

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