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Am I right in thinking that statistical power is the true positive rate, so a test that always rejected the null hypothesis (whether correctly or incorrectly) w
by sideshowb 9y ago
Am I right in thinking that statistical power is the true positive rate, so a test that always rejected the null hypothesis (whether correctly or incorrectly) would have the highest possible statistical power?
- closed 9y agoNo, statistical power as a concept is independent of the observed result of a test. It is widely misunderstood though, so often people try to use an observed result to justify low power. http://andrewgelman.com/2017/08/17/just-google-despite-limited-statistical-power/ http://andrewgelman.com/2017/08/17/just-google-despite-limit...
- sideshowb 9y agoIs the wikipedia page on statistical power plain wrong then? "The power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis (H0) when a specific alternative hypothesis (H1) is true. The statistical power ranges from 0 to 1, and as statistical power increases, the probability of making a type 2 error decreases. For a type 2 error probability of β, the corresponding statistical power is 1-β. " So according to that, if I always reject H0 whether rightly or wrongly, that means β=0 and power=1.