# How to visualize multiple errorbars for one data set with ErrorListPlot?

I have a following problem:

I am performing error analysis for my data set using multiple technics. Obviously, at the end of my analysis I want to compare the errorbars plotting them on the same graph. However, the best I have got for now is

I really need it to be on one plot and both vertical=( Can Mathematica do that?

• Would you mind posting your entire code instead of a screenshot? Also, I am not quite sure what it is that you want as an end result – Julian Oct 8 '15 at 18:52
• Your question is a bit unclear. You say you want to display multiple error bars and your picture just shows that. And you want it both vertical ... and what? – Sjoerd C. de Vries Oct 8 '15 at 18:55

one idea..

Needs["ErrorBarPlots"]
Show[{ErrorListPlot[
Table[ {{x, Sin[x]},
ErrorBar[RandomVariate[NormalDistribution[.3, .1]],
RandomVariate[NormalDistribution[.1, .1]]]} , {x, 0, 2 Pi, .2}],
ErrorBarFunction ->
Function[{coords, errs}, {Opacity[0.2],
Rectangle[coords + {errs[[1, 1]], errs[[2, 1]]},
coords + {errs[[1, 2]], errs[[2, 2]]}]}]],
ErrorListPlot[
Table[ {{x, Sin[x]},
ErrorBar[RandomVariate[NormalDistribution[.3, .1]],
RandomVariate[NormalDistribution[.1, .1]]]} , {x, 0,
2 Pi, .3}]]}, PlotRange -> All]

Here is an example drawing lines slightly offset:

Needs["ErrorBarPlots"]
offseterror[off_, color_][coords_, errs_] := {color,
Line[{off, 0} + coords + # & /@ Transpose[List @@ errs]]}
Show[{
ErrorListPlot[Table[{{x, Sin[x]},
ErrorBar[RandomVariate[NormalDistribution[.3, .1]]]}, {x, 0,
2 Pi, .3}], ErrorBarFunction -> offseterror[0, Blue]],
ErrorListPlot[Table[{{x, Sin[x]},
ErrorBar[RandomVariate[NormalDistribution[.2, .1]]]}, {x, 0,
2 Pi, .3}], ErrorBarFunction -> offseterror[0.04, Red]]},
PlotRange -> All]

It should be clear how to add the little end bars if you want. I figure it would get too cluttered and you are better off without anyway though.

• Yep, thanks, but that's the same syntax I have used... – MsTais Oct 12 '15 at 21:45
• Perfect! Thanks=) – MsTais Oct 15 '15 at 2:32