Dear all,

I have been trying to test the statistical significance

of spatial clustering of a continuous variable X.

As an analogy to Moran's I,

I calculated the following statistics:

A1 = Sigma of Distance(i,j) * (Xi - Xj)**2 for all the 

        combinations  of locations, i and j.

A2 = Sigma of ( 1/Distance(i,j) ) * (Xi - Xj)**2 for all the 

         combinations  of locations, i and j.

I thought A1 would be unusually large and A2 would be unusually

small if X is spatially clustered.

Locations of all observations were randomly permutated many times 

(e.g. 100000), thereby a unimodal distribution was obtained for

each of A1 and A2.  Then, P value was calculated for

actual A1 and A2. 

 

As a result, P value for A1 and P value for A2 were very different.

 

The above assumption of mine is correct?

 

Your suggestion of any sort would be appreciated.

 

Yoshiro Nagao 




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