How to calculate correlation coefficient between two 3-d matrices?

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This is often required in analyzing climate data from netcdf files. Climate variables are stored in 3-d matrix (lat, lon, time). I want to find correlation coefficient between two 3-d matrices at each grid cell (i.e. correlation along time or 3rd dimension). Is there an easier way to do this, without reshaping, for geometric intuition of the grid map? Also how to get the p-value at each grid cell after calculating the correlation?

Answers (2)

Adapa Bhagyaraja
Adapa Bhagyaraja on 10 Aug 2015
Hello Sagar, There is a question similar to this. Check answer at http://in.mathworks.com/matlabcentral/answers/15884-correlation-for-multi-dimensional-arrays

André Gadêlha
André Gadêlha on 10 Oct 2017
Hi, Sagar.
Did you understand? I have got the same problem with netcdf analysis. How can I do it?
Best Regards,
  1 Comment
Sagar
Sagar on 10 Oct 2017
There is no way to do it directly. You must reshape the matrix and convert to vectors. After that you can calculate correlations in a loop.

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