Power at the limits of the acceptance range [Software]
Dear HS!
I find this type of dialog is best suited for converations between statisticians and professionals considering study size
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.
❝ 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
J. Detlor
Complete thread:
- Power Calculation of 2x2 crossover design (SAS) weirddude100 2010-09-21 18:13
- Power Calculation of 2x2 crossover design (SAS) jdetlor 2010-09-21 19:14
- Power at the limits of the acceptance range Helmut 2010-09-28 17:50
- Power at the limits of the acceptance rangejdetlor 2010-09-28 18:37
- Power at 1.20 Helmut 2010-09-28 18:57
- Power at 1.20 jdetlor 2010-09-28 20:28
- The Abuse of Power Helmut 2010-09-28 22:33
- Power at 1.20 jdetlor 2010-09-28 20:28
- Power at 1.20 Helmut 2010-09-28 18:57
- Power at the limits of the acceptance rangejdetlor 2010-09-28 18:37
- Power at the limits of the acceptance range Helmut 2010-09-28 17:50
- Power Calculation of 2x2 crossover design (SAS) d_labes 2010-09-27 08:51
- Power Calculation of 2x2 crossover design (SAS) jdetlor 2010-09-21 19:14