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 nonlinear fitting getting worse after iteration
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kamitengo

6 Posts

Posted - 01/24/2013 :  02:15:02 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release: 8.5
Operating System:windows 7

I have a set of data going to be fit in function y=a*x^b
as shown in fig.1


So I selected the built in function allometric1 as the fitting
function. As a result of proper initialization, we had well fitting
curve immediately without clicking iteration.


However, after I chosen iteration, the results were getting worse.
The fitting curve will be converged as the following figure.


I cannot figure out how'd this happen.
Does anyone can give me some suggestions?
Many thanks in advance.

Hideo Fujii

USA
1582 Posts

Posted - 01/24/2013 :  10:55:15 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi kamitengo,

I suspect that visually strange, but numerically it probably makes sense because your Y scale is Log10-base.
Data points near low boundary contribute little to the Chi^2. I see the Chi^2 value is huge, and immediately
iteration has stopped one step after initial parameters. (You can change the Y scale to linear to see the
"real" fitting situation.)

I suggest you convert your Y values to their log values, then apply to the appropriate function.

Hope this helps.

--Hideo Fujii
OriginLab

Edited by - Hideo Fujii on 01/24/2013 11:06:10 AM
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