If spatial data do not have an underlying normal distribution, the traditional tests for spatial correlation may lead to erroneous conclusions. This is illustrated by means of an example. A class of tests based on the ranks of the observations is proposed and the large sample normality of each test is established. A theorem providing the basis for locally most powerful tests is also presented.
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References
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BeranR J, 1972“Rank spectral processes and tests for serial dependence”Annals of Mathematical Statistics431749–1766