The Ars definition of a p value is not precisely worded but, I think, reasonably accurate. It doesn't include the bit about also including the probability of ob

The Ars definition of a p value is not precisely worded but, I think, reasonably accurate. It doesn't include the bit about also including the probability of obtaining results more extreme than what you obtained. The best definition I know is > The P value is defined as the probability, under the assumption of no effect or no difference (the null hypothesis), of obtaining a result equal to or more extreme than what was actually observed. S. N. Goodman. Toward evidence-based medical statistics. 1: The P value fallacy. Annals of Internal Medicine, 130:995–1004, 1999. edit: oh dear, and then the Ars article says "Individual experiments may be wrong five percent of the time," but that's exactly what p values do not measure. Statistics is hard.