How to make an ellipse with given standard deviations?

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Cynthia Dickerson 2016-6-13

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https://ww2.mathworks.cn/matlabcentral/answers/289689-how-to-make-an-ellipse-with-given-standard-deviations

评论： Cynthia Dickerson 2016-6-14

I'm trying to test an algorithm that my lab has written to see how it handles a non-spherical distribution of data. I need to generate a set of n-dimensional elliptical data with a standard deviation of 1 along one major axis, and a standard deviation of something else, let's say 2, along the other major axis.

Then, I need to calculate the exact standard deviation and the standard deviation of skew of the distribution around-the-compass-rose and compare it to that given by my algorithm.

How would I do this in Matlab?

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Image Analyst 2016-6-13

Originally you said " I need to calculate the exact standard deviation......" but now it seems like you're saying that you need code not to do that, but actually, to create the input data - the random points. OK, but we're still not sure if you want a shell (which I think) or a solid ellipse (which I doubt). So which is it?

Cynthia Dickerson 2016-6-14

I need a solid ellipse.

It would be nice if I could also get the code to calculate the standard deviation of points at the 45-degree angle of the compass rose, but I can do that by hand if I have to, to compare to the algorithm's output.

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