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Jul 18, 2021 at 16:48 vote accept Mathieu
Mar 23, 2018 at 13:03 comment added deasmhumnha Yes, but note that the GLS estimator is unchanged by scaling of C. The relative structure of C is what provides improved efficiency to GLS, not the absolute scale, just as the magnitude of the variance in LLS is unimportant as long as it is approximately constant.
Mar 23, 2018 at 11:05 comment added Mathieu Won't the coefficient of determination will be the same if I multiply $C$ by an arbitrary factor? My initial choice of $\chi^2$ was motivated by the need to estimate whether my assigned uncertainties ($C$) are sufficient to explain the fit residuals $r$. It seems to me that I'm losing that piece of information if I use $R^2$.
Mar 23, 2018 at 9:05 history edited deasmhumnha CC BY-SA 3.0
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Mar 23, 2018 at 8:49 history answered deasmhumnha CC BY-SA 3.0