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Data binning 
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#1
Apr510, 06:20 AM

P: 158

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)? Cheers! 


#2
Apr510, 07:12 PM

Mentor
P: 12,070

Probably the most straightforward method is to rescale the data as y=log_{10}(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. 


#3
Apr610, 02:40 AM

P: 158

Hey Redbelly98,
thanks for your reply :) I will look into it and post back with results. 


#4
Apr610, 06:44 AM

P: 158

Data binning
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://wwwpersonal.umich.edu/~ladam...lab/index.html 


#5
Apr810, 08:04 AM

P: 158

I have modified the scripts on the page given in my previous reply, and uploaded a MATLAB file to MATLAB Central http://www.mathworks.com/matlabcentr...inningofdata 


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