Power at the limits of the acceptance range [Software]

posted by jdetlor – 2010-09-28 20:37 (5321 d 02:30 ago) – Posting: # 5947
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Dear HS!

❝ That’s an euphemism. ;-)


I find this type of dialog is best suited for converations between statisticians and professionals considering study size :-)

❝ At the borders of the acceptance range, power is exactly alpha (or 5 % in the common setting) - by definition.


I agree with your statement regarding the null hypothesis (specifically the null hypothesis for the lower bound), but we have to be careful here — I believe weirddude specified a 20% difference, which could mean an expected ratio of 120%. With enough subjects, the technical requirements for BE could be demonstated, but I believe this is what is referred to as 'forcing' BE. Some would say a ratio of 120% suggests the formulations are not bioequivalent.

To be specific, because we are dealing with TOST (two one-sided tests), to test the type I error we would set delta equal to either the lower bound (ln(0.8), or the upper bound (ln(1.25). Either of these would produce an alpha of at most 5%, which gives us our (100% - 2*alpha) confidence interval for BE.

J. Detlor

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