standard deviation in errorbar

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Sim
Sim 2021-3-3
评论： Star Strider 2021-3-3
[a very silly question!] How to calculate the errorbar with 2 standard deviations in this example?
x=1:10;
y=rand(10,50);
errorbar(x, mean(y,2), std(y,[],2)) % 1 standard deviation
Just multiplying std by 2 in the errorbar, right?
errorbar(x, mean(y,2), 2 * std(y,[],2))

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Star Strider
Star Strider 2021-3-3
Not silly at all, however it may not produce the result you want.
It might be more appropriate to calculate the errors as the standard error of the mean (S.E.M.) :
err = 2*(std(y,[],2)/sqrt(size(y,2))); % 2 x Standard Error Of The Mean
then:
figure
errorbar(x, mean(y,2), err) % 2 standard errors of the mean
rather than the standard deviation of the observations themselves.
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Rik
Rik 2021-3-3
You're welcome.
(I deleted my answer as it overlapped with this answer too much, and this one was better)
Star Strider
Star Strider 2021-3-3
@Rik — I very much appreciate your compliment!

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