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quantifing goodness of fit between two data sets
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yuval steinberg
on 6 Jan 2021
Commented: Star Strider
on 7 Jan 2021
Hi everyone,
I have two data sets, one is empirical data gathered from an experiment and the other is data from a model that is suppose to simulate the experiment. Eventually it's just two vectors. I want to quantify the goodness of fit between the model and empirical data to a single number. how can I do this?
Thanks!!
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Accepted Answer
Star Strider
on 6 Jan 2021
If ‘Q’ are your data and ‘Qest’ are the model values, one option is to compute the Coefficient of determination (
) value:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/480608/image.png)
RMSE = sqrt(mean((Q - Qest).^2)); % Compute RMSE
OLSCF = @(b) sum((Q-Qfcn(b,yez)).^2);
SStot = sum((Q - mean(Q)).^2);
SSres = OLSCF(B);
Rsq = 1 - (SSres/SStot); % Compute R-squared
.
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