What is the best way to use errors in mathematica M12?d Evanedi C
8
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Since ErrorListPlot has been superseded by new functionality in ListPlot for Mathematica 12.0, what is the best way to handle errors efficiently? Previously I would simply format my data in a table as
Data =
Table[
Stuf to calculate values and errors
{{xValue, yValue, yError}},
{i, 1, Stop}
]
Which made it easy to stick into ErrorListPlot or use in a fit as
NonlinearModel[Data[[1;;,{1, 2}]], Function, Weights->1/Data[[1;;,3]]^2 ]
Now it seems you have to use Around[yValue, yError]
Data =
Table[
Stuf to calculate values and errors
{{xValue, Around[yValue, yError]}},
{i, 1, Stop}
]
Which works fine in ListPlot and I can fit data with it, as in it produces a fit result, but I can't figure out how to use Weights with Around and I can't plot the result of the fit in the usual way. Can anyone recommend an efficient way to format data in line with the new updates?
plotting list-manipulation fitting table around
asked 11 hours ago
QuantumPenguinQuantumPenguin
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1 Answer
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You can extract the properties "Value" and "Uncertainty" from Around objects:
NonlinearModelFit[data /. a_Around :> a["Value"],
model, parameters, vars,
Weights -> (1/(data[[All,2]] /. a_Around :> a["Uncertainty"])^2)]
answered 10 hours ago
kglrkglr
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$\\begingroup$ Thanks for this nice answer, it's poorly documented on how to use errors in version 12 so this is a great help. $\\endgroup$ – QuantumPenguin 10 hours ago
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NonlinearModelFit[data /. a_Around:>a["Value"], model, parameters, vars, Weights->(1/(data[[All,2]] /. a_Around:>a["Uncertainty"])^2)]? $\\endgroup$ – kglr 11 hours ago