How to get P value for coefficient of determination in the form of single answer (not in the matrix form)

Hi,

I wanted to calculate p value for R2 which i have obtained byusing this code.

yfit = polyval(p,W);

yresid = Wsim(:) - yfit;

SSresid = sum(yresid.^2);

SStotal = (length(Wsim(:))-1) * var(Wsim(:));

R(nok) = 1 - SSresid/SStotal;

I need code after this to calculate p value and i need in the form of single answer (not in the matrix)

I would be extremely gareful if somebody can help.

Answer 1

[Vatsal]

Hi,

I understand that you would like to calculate the p-value for 'R2' based on the provided code. To calculate the p-value for ‘R2’ in MATLAB, you can use utilize the following code:

df_regression = 1;  % Linear model.
df_residual = length(Wsim(:)) - 2;  % N - 2 degrees of freedom for residuals
F_statistic = (R(nok) / df_regression) / ((1 - R(nok)) / df_residual);
p_value = 1 - fcdf(F_statistic, df_regression, df_residual);

To learn more about “fcdf” usage and syntax, you may refer to the MathWorks documentation link below:

https://in.mathworks.com/help/stats/fcdf.html

I hope this helps!