AGES & numeric precision [Two-Stage / GS Designs]

posted by ElMaestro  – Denmark, 2013-10-31 19:16 (4612 d 20:22 ago) – Posting: # 11846
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Hi Hötzi,

❝ Nope. Everything ≤0.05036 can be pure chance (at the 5% level). If you don’t accept such values in 106 sim’s you would have to adjust α further down in such a way that the “true” risk I is expected to be <0.05 (~0.04964). In other words, you would require two-stage designs to be more conservative than fixed sample designs. Why?

(...)

❝ If so, not even ‘Method B’ (maximum inflation 0.0504 would be acceptable. Are you suggesting to throw away all including your own – papers?


I get your point, but I see it a little differently. If the type I error rate is 0.0502 then this means that 'most likely' the true type I error rate exceeds the goal post of 0.05(000000000000 etc). But at 1e6 sims we just don't have statistical significance to refute a null hyp like Pt1e≤0.05. We could just as well increase the number of sims and discuss another new level of significance and so forth. Thus for practical purposes I would aim for 0.05 without too deep speculation into statistical significance at a given number of sims per scenario. If someone could come up with a convincing concept about clnically relevant inflation then I'd welcome it; until then 0.05(000000000000 etc) must be my own goalpost. Refutation of my own papers will not be necessary, I am sure they'll be forgotton before long anyway. And there are only two of them so I am a very small fish :-D.

Pass or fail!
ElMaestro

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