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 How to define the goodness of nonlinear fitting		  New Topic  Reply to Topic
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lenaphys

Vietnam
9 Posts
Posted - 08/23/2015 :  10:10:03 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
hi everyone!
Im using Hill function to fit my data.
After fiting, there are many informations about fitting in the sheet " FitNL1" such as: Residual Sum of Squares, Reduced Chi-Sqr,Adj. R-Square,.... As I know, Adj. R-Square will tell us the goodness of the fit but Im not sure about other quatities.
My question is that which quantities do I have to consider to define the goodness of the fit. thanks so much


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SeanMao

China
288 Posts
Posted - 08/24/2015 :  02:22:28 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Apparently as you have mentioned, adjusted R^2 which is not associated with the scale of given input would be the major measure of the goodness of fit.

http://www.originlab.com/doc/Origin-Help/Interpret-Regression-Result#Goodness_of_Fit

Sometimes even if you have good R^2 value but the model used to fit the data might not be accurate, in this case residual analysis can be applied to make the judgement.

http://www.originlab.com/doc/Origin-Help/Residual-Plot-Analysis

To understand other quantities in the report sheet, you can refer the algorithm section of nonlinear fit model:
http://www.originlab.com/doc/Origin-Help/NLFit-Algorithm#How_Origin_Fits_the_Curve

Regards!

Sean

OriginLab Tech. Service
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