Wow! More amazing answers! [General Statistics]
Honestly, I feel like a caveman who has been gifted a powerful handphone (by you), equipped with GPS, google map, etc. to help me navigate the forest of pharmacokinetics, while I'm still looking at bushes (not even trees yet!) and using that handphone as a mirror
Thanks for all the great pointers, keywords, and properties to look for :)
Especially the idea behind IUT, because its my first time hearing that correlation had such a geometric interpretation!
(。♥‿♥。)
❝ We have three tests. The areas give their type I errors. Since we perform all at the same level, the areas are identical. The Euclidean distance between centers give the correlation of PK metrics (here they are identical as well). The FWER is given by the area of the intersection which in any case will be ≤ the nominal α.
❝
❝ In reality the correlation of AUC0–∞ (green) with AUC0–t (blue) is higher than the correlation of both with Cmax (red). If we would test only the AUCs, the FWER would by given again by the intersection which is clearly lower than the individual type I errors. If we add Cmax, the FWER decreases further.
Now I'm even MORE looking forward to studying IUT in detail, because it reminds me of when I first learned that I could use SVD to geometrically visualize the error ellipsoid of a covariance matrix. I found it beautiful :)
Thanks Helmut, for all your help
(*ˊᗜˋ*)/ᵗᑋᵃᐢᵏ ᵞᵒᵘ*
P.S. I'm spending time reading on IUT now, hence the short reply; but I thought I'd end with a nice little picture for memory :p
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