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

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?

Answer 1

[Adapa Bhagyaraja]

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

Answer 2

[André Gadêlha]

Hi, Sagar.

Did you understand? I have got the same problem with netcdf analysis. How can I do it?

Best Regards,

[Sagar]

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.