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model fit comparison matlab

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Ilias Minas
Ilias Minas 2022-5-30
编辑： Hiro Yoshino 2022-5-31
Hi all,
I have the following graph which shows the raw data of an experiment and the predicted data after executing 2 models.
I would like to compare which model fits better in the raw data.
I tried to use compare and goodnesofffit but the results didnt make sense.
Is there any alternative to this?
  1 个评论
Hiro Yoshino
Hiro Yoshino 2022-5-30
编辑：Hiro Yoshino 2022-5-31
Did you measure the goodness of fit like this?:
mse1 = mean((raw-oneState).^2)

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回答（1 个）

Mathieu NOE
Mathieu NOE 2022-5-30
hello
this is basically waht is called the R² correlation coefficient . If it get's close to 1 it's a good fit, if it get's close to zero there is no fit .
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function Rsquared = my_Rsquared_coeff(data,data_fit)
% R2 correlation coefficient computation
% The total sum of squares
sum_of_squares = sum((data-mean(data)).^2);
% The sum of squares of residuals, also called the residual sum of squares:
sum_of_squares_of_residuals = sum((data-data_fit).^2);
% definition of the coefficient of correlation is
Rsquared = 1 - sum_of_squares_of_residuals/sum_of_squares;
end

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