# plot SEM error bars

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best16 programmer on 10 Jun 2017
Commented: Star Strider on 10 Jun 2017
hi everyone, i have 2 column such as
X=[ -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10]
Y=[0.9996 1.0000 0.9772 0.8978 0.6916 0.3253 0.0680 0.0091 0.0089 0.0088 0.0098 0.0119]
i want to plot SEM error bars using errorbar function,but when i calculate the SEM it only gives me one value and errobar function show this error:
'X, Y and error bars must all be the same length'
SEM=std(data)./sqrt(length(data))
thank you

Star Strider on 10 Jun 2017
If your ‘data’ matrix variables are in columns and ‘Y’ is the mean, you need to calculate the ‘SEM’ across the columns of ‘data’:
SEM = std(data,2)./sqrt(size(data,2));
You calculate the mean the same way:
Y = mean(data,2);
Note: This is a guess, since I do not have your data.
Star Strider on 10 Jun 2017
My pleasure.
This is one example (using your ‘X’ and ‘Y’ vectors):
X = [ -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10]';
Y = [0.9996 1.0000 0.9772 0.8978 0.6916 0.3253 0.0680 0.0091 0.0089 0.0088 0.0098 0.0119]';
data = Y + 0.1*randn(12, 8); % Create (12x8) Data Array
data_mean = mean(data,2); % Mean Across Columns
data_SEM = std(data,[],2)/sqrt(size(data,2)); % SEM Across Columns
figure(1)
errorbar(X, data_mean, data_SEM)
grid
axis([-130 0 ylim])

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