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Data binning

  1. Apr 5, 2010 #1
    Hey all,

    I have a bunch of data that varies over many magnitudes. I was hoping to use log bins to capture the short and long term features of the data. My question is, how do I bin the data, and how do I assign appropriate errors so that I can fit the data to some theory (maybe a power law)?

  2. jcsd
  3. Apr 5, 2010 #2


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    Probably the most straightforward method is to rescale the data as y=log10(x), and then take equal intervals in binning the y data.

    Good question about the errors. I'm not absolutely sure, but I believe that the error would be ± the square root of the expected number of counts within a bin, at least when that count total is considerably greater than 1. This becomes problematic when the expected count is less than 1, for example 0.25±0.5 allows for negative counts, an unphysical result.

    Perhaps somebody who knows statistics better than I can provide a more accurate answer.
  4. Apr 6, 2010 #3
    Hey Redbelly98,

    thanks for your reply :) I will look into it and post back with results.
  5. Apr 6, 2010 #4
    I have managed to find this website with MATLAB scripts relevant to my initial query, that may help people in the future who are asking the same, or a similar question:

    http://www-personal.umich.edu/~ladamic/courses/si614w06/matlab/index.html [Broken]
    Last edited by a moderator: May 4, 2017
  6. Apr 8, 2010 #5

    I have modified the scripts on the page given in my previous reply, and uploaded a MATLAB file to MATLAB Central

    Last edited by a moderator: May 4, 2017
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