Data distribution randomness test in Matlab

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I have a dataset describing the point distribution in a 2D space. The row and column index of a data point in the matrix corresponds to its coordinate in the 2D space.
After plotting out these data, I can see four general clusters, one up, one down, one left, one right. I'm wondering how I can use chi-square to distinguish such data cluster with random distribution? I heard about permutation method, how can I combine it with chi-square?
Many thanks for any suggestion
Kyle

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