How to draw multi curves in a graph with errorbars

Question

The curves are composed by several 2*n nested lists. I want these curves be placed in a 3d way, like the xy plane is for the data, different curves are located in several parallel xy planes with different z values. The graph is similiar to this one. Is there any build in function can draw graphs like this? Plus, how to deal with errorbars?

Thanks a lot for helping. I tried with this simplified data, but I can only got the 2d graph using ErrorListPlot.

Needs["ErrorBarPlots`"]
data = Table[Table[{{x, a^2 Sum[-Sin[n x]^2 + 1, {n, 1, 10}]},ErrorBar[0, x]}, {x, 2.5, 3.5, 0.01}], {a, 1, 3, 0.5}];
ErrorListPlot[data, PlotRange -> All, AspectRatio ->1/GoldenRatio]

Answer 1

I would say you can do something like this to produce a colored plot:

n = 20; m = 12;
DATA[1] = Table[{0, Random[], Random[]}, {j, 1, n}];
For[i = 2, i <= m, i++,
  DATA[i] = 
    DATA[i - 1] + 
     Table[{1/n, RandomReal[{-1, 1}]/20, RandomReal[{-1, 1}]/20}, {j, 
       1, n}];
  ];

Graphics3D[
 Table[
  {
   ColorData["Rainbow"][i/m],
   Line[Sort[DATA[i]]]
   },
  {i, 1, m}
  ],
 Axes -> True,
 PlotRange -> {{0, 1}, {0, 1}, {0, 1}}
 ]

However, that doesn't account for the error bars. The ErrorBarPlots package doesn't seem to have any Graphics3D constructions, which means you might not be able to find an automatic command to do this. I don't see a way to do that that doesn't require us to really just draw all of the error bars by hand, just giving something as complicated (but more or less the same) as what I give above.