Regression and Correlation of Wind Direction (circular) Data

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Federico 2015-3-13

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https://ww2.mathworks.cn/matlabcentral/answers/183006-regression-and-correlation-of-wind-direction-circular-data

评论： Adam Danz 2019-10-15

Kind all,

I'm currently facing a problem which I thought simpler in the beginning. Basically I have outputs of wind direction from a model and observed wind direction from my sensors (both are in degrees from 0 to 359). What I would like to do is the equivalent of linear regression and correlation coefficient computation that it's used when comparing linear data.

What I would accomplish with a simple usage of polyfit and polyval cannot be done on circular data (in case of wind direction 0 is actually closer to 359 than to 20) and the r2 values obtained with the regular expression 1-(sum of squares of the residues / total sum of squares) are completely off.

Is there any MATLAB function for working on circular-circular correlation and regression?

I am already aware of the Circular Statistics Toolbox, but while it gives some way of computing correlations there's nothing for regression.

Thanks!