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
Log scale
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?
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Science Quotes
Complete thread:
- Geometric mean of normal dist etc. ElMaestro 2013-08-07 13:18 [General Statistics]
- 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