Spatial Autocorrelation game:


This Game is suggested by Daniel Griffith in his book Spatial Autocorrelation: A Primer, and in his article 'Teaching Spatial Autocorrelation by Simulation' in the Journal of Geography in Higher Education 11:2, 1987.

Given an initial random assortment of integers from 0 to 99 which fill a 4 by 4 matrix, rearrange them to alter the spatial autocorrelation so as to maximize it, minimize it, or even to drive it to zero. SA is measured in this game by an adjusted Geary's contiguity ratio and Moran's I, varying between -1 and 1.

Give it a try. Here's your random matrix (its SA should be close to 0, since it was filled randomly!):

SA (geary):
0.229266
SA (moran):
0.069091
58 73 80 23
91 75 71 28
46 74 49 48
83 71 76 95

Try to make the SA approach the extremes (-1 and 1) and 0. Dr. Griffith's experience shows that folks have an easier time getting it to -1 than to either 0 or 1....

Do you want to cheat and look at some extreme examples?


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