How to obtain confidence level and coefficient of determination?
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Fabian Moreno
le 7 Juil 2021
Commenté : Fabian Moreno
le 8 Juil 2021
Hello, I am comparing two regression models (linear fit and theil-sen). In the linear fit I can get confidence level (CI=95%) of the slop and intersection, and coefficient of determination (R2). But I don't know how to get the CI and R2 for theil sen model. I appreciate any help. Here is my code.
%Option MRL
mdl = fitlm(x, y,'linear','Intercept',true,'RobustOpts','on'); % Fit Data
B = mdl.Coefficients.Estimate;
B=[B(2) B(1)];% Coefficients
y_robus = polyval(B,x(:,1));
R1=sqrt(mdl.Rsquared.Adjusted);
% Confidence intervals
CI = coefCI(mdl,0.05);
%Option Theil-Sen
[r1,pval1]=corr(x,y,'Type','Kendall');
[s1, b1] = tsreg(x,y);
S1 =[s1 b1];
y_Theil1=polyval(S1,x);
% Confidence intervals
CI =
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the cyclist
le 8 Juil 2021
Modifié(e) : the cyclist
le 8 Juil 2021
Obviously, the author of that code has not provide any additional functionality beyond calculating the slope and intercept. You could post a comment and ask your question there.
The wikipedia page for the Theil-Sen method briefly discusses how to calculate the confidence interval, using resampling. Perhaps that will be helpful.
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