How to determine average and standard deviation of y axis values for corresponding bin of x axis?

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trailokya 2015-9-16

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https://ww2.mathworks.cn/matlabcentral/answers/243302-how-to-determine-average-and-standard-deviation-of-y-axis-values-for-corresponding-bin-of-x-axis

评论： Image Analyst 2019-9-22

采纳的回答： Image Analyst

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Sir i have two data series say

a                  b
36737061 -27.47956892
54391479 -23.68162398
76391602 -16.65254461
47177124 -19.20600915
25158691 -18.56570783
462646484 -14.39363913
785919189 -14.98048449
27481079 -18.49125231
851806641 -19.91135093
111236572 -5.049334665
-1.457702637 -6.51219601
85055542 -1.299793246

and i want to plot for bin width of 'a' (say 5,10,15 etc) with the corresponding average and standard deviation of b. Please help me with a easy way since the series are very large?

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Star Strider 2015-9-16

Context: http://www.mathworks.com/matlabcentral/answers/243174-how-to-bin-for-scatter-plot-from-two-data-series.

I explained this in my Answer to your previous post (that you have as yet to Accept).

Kelly Kearney 2015-9-16

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To simplify the tracking of indices, you may want to look at this aggregatehist.m function... it's basically a wrapper around the histc plus accumarray method demonstrated by Star Strider and myself.

ab = [...
25.36737061 -27.47956892
20.54391479 -23.68162398
16.76391602 -16.65254461
9.47177124 -19.20600915
16.25158691 -18.56570783
4.462646484 -14.39363913
7.785919189 -14.98048449
12.27481079 -18.49125231
4.851806641 -19.91135093
2.111236572 -5.049334665
-1.457702637 -6.51219601
1.85055542 -1.299793246];
bin = -5:5:30;
[aa,bb] = aggregatehist(bin, ab(:,1), ab(:,2));
dev = cellfun(@std, bb);
avg = cellfun(@mean, bb);
amid = (bin(1:end-1)+bin(2:end))./2;
plot(ab(:,1), ab(:,2), '.');
hold on;
errorbar(amid, avg, dev, 'linestyle', 'none', 'marker', 'o');
set(gca, 'xtick', bin, 'xgrid', 'on');

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Image Analyst 2015-9-16

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Why do you say (the badly-named) "a" is the bin width and then say it has values of 5, 10, or 15 when it clearly does not have any of those values? You can specify the edges of the bins so that the bin widths are exactly what you want. Like if you want a bin width of a(1), which is 25.3673, then you can do

edges = 0 : a(1) : 50

and then pass edges into histc() or histcounts().

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Wade Mao 2019-9-22

You're the GOD of matlab! I love you Image Analyst !!

Image Analyst 2019-9-22

Thanks Wade. Maybe so, since I seem to be immortal, what with my responses of long ago living forever. You can "vote" for answers if you want to give anybody additional "reputation points".

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