Standard deviation ignoring 0s in matrix

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Hi all, I have a 295x34 matrix called Absy. I want to take the standard deviation of all the columns, however some columns contain many zeros. I want to ignore the zeros and take the standard deviation (as zeros are only their due to some columns being different size).
Thank you.

Accepted Answer

Matt Kindig
Matt Kindig on 24 Jul 2012
One easy way would be to convert all zeros to NaN, and then use the nanstd function to ignore the NaNs in the std calculation.
Absy(Absy==0)=NaN;
s = nanstd(Absy,[],1); %column by column std deviation

More Answers (1)

Jan
Jan on 24 Jul 2012
Edited: Jan on 24 Jul 2012
x = rand(295, 34);
x(rand(size(x)) < 0.1) = 0;
index = (x ~= 0);
sumnz = sum(index, 1);
meanx = sum(x, 1) ./ sumnz;
xm = bsxfun(@minus, x, meanx);
xm(~index) = 0;
s = sqrt(sum(xm .* xm, 1) ./ (sumnz - 1));
[NOT TESTED]

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