I want to know if there is a significant difference in a blood biomarker concentration between 2 populations (population 1 = healthy individuals - population 2 = sick individuals). I need to control for the factor 'region'.
My issue is that the distribution of population 2 is not normal (data are censored following the upper detection limit by the lab device) as shown on the Figure.
With a normal distribution I would use this model in R (glm):
```
m
I think that you can go with Tobit model which is generally used for censored data.
You can also use parametric survival models. In R, for instance, the function survreg() allows to specify the Gaussian distribution, so you can use right as well as left censoring with normal distributed data.
https://datacatz.wordpress.com/2017/08/25/methods-of-handling-and-working-with-missingcensored-data-part-2/
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