Distribution of concentrations [General Statistics]
❝ Good input. I have no idea myself. I live in a cage. Whether or not something is relevant to real life is of no particular interest to me 


Not unfamiliar to me.
❝ At this point in principle any distribution would suffice for starters as long as:
❝ 1. I can control the geometric mean.
❝ 2. I can control the CV.
❝ 3. The dist. is not log normal.
❝ 4. I can derive random numbers via pts 1+2.
Quick shot about distributions of ~700 concentrations. Drug with quite high between-subject variability in Cmax (~50%). I looked at concentrations in the absorption phase, around Cmax, and in late elimination.
Raw scale
![[image]](img/uploaded/image186.png)
Log scale
![[image]](img/uploaded/image187.png)
Lognormal seems to “work” close to Cmax, but otherwise? Look at the crowded first bin.
❝ Having said all that I need to air another thought:
❝ We usually say that the error of the linear model is IID and normal with mean zero but actually Chow and Liu's formulation in that regard is not crystal clear.
Yes.
❝ You showed some beautiful plots -can't find the thread right now- which demonstrated that the errors are correlated within subject.
I know. Will search for it later (have to find the nearest lake now and dive in).
❝ I am inclined to think that we do not strictly need IID for the normal linear model. We can relax it a bit:
❝ we only need IID for the difference of test-ref in xovers, and that's why the Potvin/Montague considerations actually work.
Yep. I remember an article by Carl Metzler where he pointed out that the distribution of metrics is irrelevant. We are only interested in model’s residuals which approximate true error.
❝ Parallel is another matter of course.
Yessir.
❝ Hell, I wish I had studied statistics at the university.
Quoting Ohlbe: Don’t worry, it’s too late.
❝ I think the
What?
Dif-tor heh smusma 🖖🏼 Довге життя Україна!
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Helmut Schütz
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Science Quotes
Complete thread:
- Geometric mean of normal dist etc. ElMaestro 2013-08-07 13:18
- Geometric mean of normal dist etc. Helmut 2013-08-07 16:20
- Geometric mean of normal dist etc. ElMaestro 2013-08-07 16:28
- Overheated brain Helmut 2013-08-07 16:37
- Location parameters Helmut 2013-08-08 13:10
- Location parameters ElMaestro 2013-08-08 13:52
- Distribution of concentrationsHelmut 2013-08-08 14:35
- Location parameters ElMaestro 2013-08-08 13:52
- Geometric mean of normal dist etc. ElMaestro 2013-08-07 16:28
- Geometric mean of normal dist etc. Helmut 2013-08-07 16:20
