Statistical comparison between matrices

I have a 32x30x24 velocity field matrix. I have calculated first five mode for each of the 24 - 32x30 matrix using SVD.

Now, I need to statistically compare every mode (compare between 24 first modes, 24 second modes, and so on). How do I go about this?

Thank you!

Answer 1

[Sambit Supriya Dash]

After converting all the 24 matrices of 32x30 into 24 vectors of 960 elements each, take each vector of 960 elements and sort them.

Suppose,

A = matrix of 32x30x24

for i = 1:24
    EA = A(:,:,i);
    v1 = EA(:); v2 = reshape(EA,1,[]); v3 = reshape(EA,numel(EA),1); % Convert 2D mat. to vector
    u = unique(v3);
    n = histc(v3,u);
    [n,idx] = sort(n);
    freqn = v3(idx);     % Most frequenting nos.
    myNos(i) = freqn;
end

I am not sure, this would help or not, but surely the logic here will work to find the desired modes from the tensor (3D matrix), stored in myNos.

You may able to compare each no.

[Arup B]

Hi Sambit,

I did something similar - concveterd the 3D matrix into 2D, and ran ANOVA on on locations on the timesteps blocks based . Thank you so much for the idea.

[Sambit Supriya Dash]

That's great, glad!