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In giving some informal remarks about power at a seminar a couple of weeks ago, I proposed that the tendency to turn the notion of power on its head might be avoided by imagining we need to define a test’s error probabilities in terms of its power alone. We can refer to the power against the null hypothesis, rather than alluding to a type 1 error probability, for example. What do I mean by turning power on its head? I mean, at least here, supposing that a test provides poor evidence of discrepancies that the test has low power to detect. Continue reading


