What is the largest α (Alpha) & β (Beta) allowed by FDA? [General Statistics]
Hi everyone! I'm new to pharmacokinetics, and I'm wondering what is the largest α (Alpha) & β (Beta) allowed by FDA, for each of the three hypothesis tests illustrated below (with each α & β highlighted with red borders)?
Where:
Thanks in advance
P.S. if you spot any mistake in my illustration below, could you kindly inform me as well? ଘ(੭*ˊᵕˋ)੭* ̀ˋ
P.S. The following post didn't submit correctly, even though the preview for it was working. So, I decided to screenshot my question instead. Hope it is acceptable :)
Edit: Category changed; see also this post #1. Link to 643KiB 2,000px photo deleted and changed to a downscaled variant. [Helmut]
Where:
- α = probability of committing a type I error (i.e. rejecting the null hypothesis when it is actually true).
- β = probability of committing a type II error (i.e. failing to reject the null hypothesis when it is actually false).
- Are both drugs' expected AUC equal? i.e. E[AUC of \(\mathcal{A}\) = E[AUC of \(\mathcal{B}\)]
- Are both drugs' expected Cmax equal? i.e. E[Cmax of \(\mathcal{A}\) = E[Cmax of \(\mathcal{B}\)]
- Are both drugs' expected Tmax equal? i.e. E[Tmax of \(\mathcal{A}\) = E[Tmax of \(\mathcal{B}\)]
Thanks in advance
P.S. if you spot any mistake in my illustration below, could you kindly inform me as well? ଘ(੭*ˊᵕˋ)੭* ̀ˋ
P.S. The following post didn't submit correctly, even though the preview for it was working. So, I decided to screenshot my question instead. Hope it is acceptable :)
Edit: Category changed; see also this post #1. Link to 643KiB 2,000px photo deleted and changed to a downscaled variant. [Helmut]
Complete thread:
- What is the largest α (Alpha) & β (Beta) allowed by FDA?victor 2019-11-16 21:57 [General Statistics]
- What do you want to achieve? Helmut 2019-11-17 01:26
- I'm seeking to understand the math behind our current regulation victor 2019-11-17 10:53
- Some answers Helmut 2019-11-17 14:35
- Wow! Amazing answers! victor 2019-11-18 08:26
- More answers Helmut 2019-11-18 15:09
- Wow! More amazing answers! victor 2019-11-18 20:16
- Books & intersection-union Helmut 2019-11-19 12:01
- My progress on IUT so far victor 2019-11-22 01:28
- Update: Counterexamples victor 2019-11-23 09:05
- My progress on IUT so far victor 2019-11-22 01:28
- Books & intersection-union Helmut 2019-11-19 12:01
- Wow! More amazing answers! victor 2019-11-18 20:16
- More answers Helmut 2019-11-18 15:09
- Wow! Amazing answers! victor 2019-11-18 08:26
- Some answers Helmut 2019-11-17 14:35
- I'm seeking to understand the math behind our current regulation victor 2019-11-17 10:53
- What do you want to achieve? Helmut 2019-11-17 01:26