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Dec 23, 2021 at 7:56 comment added sim0 The $\chi^2$ value can be calculated analoguously to the case of 1-d errors. See Semoi's answer below for details.
Dec 23, 2021 at 7:51 comment added sim0 To account for correlations between the errors (I guess that is what you mean by "maximum errors") you will need to calculate or estimate the covariance matrix, however I do not know enough about the details of that to be of a great help here. The software kafe I mentioned before accepts these matrices as input for uncertainties so I guess there will be a way to pass them to ROOT, too. For uncorrelated errors, the covariance matrix is proportional to the identity, which is why in this cases the uncertainty can be represented as a single number, namely the proportionality constant.
Dec 22, 2021 at 20:49 answer added NotMe timeline score: 1
Dec 21, 2021 at 10:01 comment added Salvatore Manfredi D Hi, but how do I rigorously compare maximum errors on the x and statistical errors on the y axis? Also ROOT can calculate fits with 2-d errors, and it also gives me the value of minimized chi-square, but where does it come from when we have 2-d errors?
Dec 21, 2021 at 9:58 history edited Salvatore Manfredi D CC BY-SA 4.0
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Dec 17, 2021 at 16:06 comment added sim0 If you are unsure whether or not to include some uncertainty in your data analysis, I suggest you do, to be on the safe side. There is software which can calculate fits with 2-dimensional errors, like kafe.
Dec 17, 2021 at 13:22 history asked Salvatore Manfredi D CC BY-SA 4.0