What formula for r-squared does fitlm use in the weighted linear regression case?

9 vues (au cours des 30 derniers jours)
Paul Safier
Paul Safier le 7 Fév 2024
Modifié(e) : Matt J le 7 Fév 2024
If I use fitlm as:
mdl = fitlm(X,Y,'Weights',W);
can someone tell me the formula used in computing the r-squared that's here:
mdl.Rsquared.Ordinary
I am seeing a different result when compared to JMP. Thanks.

Réponses (1)

Matt J
Matt J le 7 Fév 2024
  2 commentaires
Paul Safier
Paul Safier le 7 Fév 2024
Modifié(e) : Paul Safier le 7 Fév 2024
Thanks @Matt J. It says Rsq = 1 - SSE/SST. Not seeing where the equation for SSE or SST is given in the weighted LS case. It ought to be different for OLS vs WLS. I'm interested in what MATHWORKS uses specifically for WLS.
Matt J
Matt J le 7 Fév 2024
Modifié(e) : Matt J le 7 Fév 2024
I don't believe weights are taken into account in the computation of R2. This should be easy to verify, by comparing the stack exchange formulas (both weighted and unweighted) to what Matlab gves you.

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