[proFit-list] Can I fit a function to data with asymmetric errors?
Jan LAGERWALL
jan.lagerwall at uni.lu
Thu Feb 13 03:02:39 CST 2020
Hi all,
I am fitting an equation to data that has quite large errors at one end of the measuring range and considering the error estimates is essential to getting good results. A problem is, however, that it seems fitting always assumes symmetric errors. My y-values are volume fractions, which obviously cannot be greater than 1, but as I approach volume fraction 1, my estimated errors are on the order of 0.2 or 0.3. This means that a value of 0.9 is considered going from, say, 0.7 to 1.1 during fitting, but of course values greater than 1.0 do not make sense.
In another data set, I have x-values that I know are lower estimates. In other words, here I would like to set x-error downwards equals zero but the error upwards can be significant. I can plot the data with asymmetric error bars, but I cannot find a way to tell the fitting algorithm to consider asymmetric errors.
Am I missing something here, or did I misunderstand something fundamental about how the fitting works, or can I tweak the fitting so asymmetric errors are being considered?
Thanks a lot!
/Jan
Dr. Jan P. F. Lagerwall
Professor
Department of Physics and Materials Science
Université du Luxembourg
Campus Limpertsberg
162a, avenue de la Faïencerie, BS 1.15a
L-1511 Luxembourg
T +352 46 66 44 6219
F +352 46 66 44 36219
Jan.Lagerwall at uni.lu<mailto:Jan.Lagerwall at uni.lu> /www.lcsoftmatter.com<http://www.lcsoftmatter.com>
physics.uni.lu<http://physics.uni.lu>, www.uni.lu<http://www.uni.lu>
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