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Best method to break apart a data set

  • To: mathgroup at smc.vnet.net
  • Subject: [mg113864] Best method to break apart a data set
  • From: EliL <elansey at gmail.com>
  • Date: Tue, 16 Nov 2010 05:05:49 -0500 (EST)

For
stuff = {{0, 3290}, {0, 8576}, {0, 12081}, {4569828, 3336}, {4569828,
    8581}, {4569828, 12109}, {9139656, 3468}, {9139656,
   8600}, {9139656, 12193}, {13709484, 3671}, {13709484,
   8637}, {13709484, 12328}, {18279312, 3924}, {18279312,
   8698}, {18279312, 12513}, {22849141, 4205}, {22849141,
   8791}, {22849141, 12741}, {22849141, 15220}, {27418969,
   4494}, {27418969, 8925}, {27418969, 13009}, {27418969,
   15637}, {31988797, 4774}, {31988797, 9106}, {31988797,
   13312}, {31988797, 15995}, {36558625, 5032}, {36558625,
   9342}, {36558625, 13646}, {36558625, 16320}, {41128453,
   5259}, {41128453, 9633}, {41128453, 14008}, {45698281,
   5453}, {45698281, 9979}, {45698281, 14394}, {50268109,
   5612}, {50268109, 10377}, {50268109, 14802}, {54837937,
   5742}, {54837937, 10819}, {54837937, 15230}, {59407765,
   5846}, {59407765, 11298}, {59407765, 15675}, {63977593,
   5929}, {63977593, 11809}, {63977593, 16135}, {68547422,
   5995}, {68547422, 12345}, {73117250, 6048}, {73117250,
   12902}, {77687078, 6091}, {77687078, 13475}, {82256906,
   6125}, {82256906, 14062}, {86826734, 6153}, {86826734,
   14660}, {91396562, 6176}, {91396562, 15268}, {95966390,
   6195}, {95966390, 15884}, {100536218, 6210}, {105106046,
   6223}, {109675875, 6233}}

If you ListPlot it you'll see 4 distinct curves. I'd love to have
Mathematica break them apart into four separate sets.  I've tried
using FindClusters, but the default doesn't work. I've also tried
using DistanceFunction -> (Norm[#1[[2]] - #2[[2]]]^2 &) to pull only
the closeness in the y-axis. This successfully separates the bottom
curve, but doesn't break the 3 upper curves up in the right way.

Any other ideas for how to break this up? Or different Distance
Functions to use?
Thanks so much,
Eli.


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