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 How to define the goodness of nonlinear fitting

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T O P I C    R E V I E W
lenaphys Posted - 08/23/2015 : 10:10:03 AM
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 Posted - 08/24/2015 : 02:22:28 AM
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

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