Hi Paul,
I am not sure to well understand the purpose and constrains.
Why not fitting experimental points with a model? -- yes, the gaussian
law could be a good start, or a lorentzian one, or other, depending on
the type of observed phenomena.
Then, you would get a set of modeling parameters (max amplitude, mean
position, standard deviation), and you could compare fitting parameters
from different sets of points, among which the dispersion of points.
This would be a standard way to proceed.
Samuel
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