## 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 ~~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]

**α**(Alpha) &**β**(Beta) allowed by FDA, for each of the three hypothesis tests illustrated below (with each**α**&**β**highlightedWhere:

**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).

_{max}, T_{max}) of \(\mathcal{A}\) against \(\mathcal{B}\), via three hypothesis tests that determine if there are any differences in the population means of those three statistics; i.e.:- Are both drugs' expected AUC equal? i.e. E[AUC of \(\mathcal{A}\) = E[AUC of \(\mathcal{B}\)]

- Are both drugs' expected C
_{max}equal? i.e. E[C_{max}of \(\mathcal{A}\) = E[C_{max}of \(\mathcal{B}\)]

- Are both drugs' expected T
_{max}equal? i.e. E[T_{max}of \(\mathcal{A}\) = E[T_{max}of \(\mathcal{B}\)]

**α**&**β**allowed by FDA, for each of the three hypothesis tests?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
- 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