Tomas et al.,

This is an issue that we addressed in our (Hong et al.) article "Spatial Analysis of Precision Agriculture Treatments in Randomized Complete Blocks: Guidelines for Covariance Model Selection," Agron. J. 97:1082–1096 (2005), in which we elaborated a model sequence approach for assessing and accounting for spatial correlation within the ANOVA. While the article deals explicitly with experimental treatment structures in randomized complete block designs, the principles detailed hold for the type of problem that you pose. The modeling approach utilizes the mixed model autocorrelation analysis tools that are available within SAS PROC MIXED.

Tomas Hlasny wrote:
Dear list,
I `d appreciate your help. I have 2000 randomly distributed point data with spatially autocorrelated attributes. The region is divided into several zones (seamless). I need to evaluate whether the borders between neigboring zones are relevant, i.e. whether there is a significant difference between central values of the attributes in adjacent zones (ANOVA problem, but samples are not independent). Polygonal declustering is good to solve under/over sampled locations problem, but this does not accounts for autocorrelation. Correlation of spatially autocorrelated data has been discussed many times, however I cannot find references on something like ANOVA of autocorrelated data (autocorrelation within groups).
Any help appreciated, maybe also some references to relevant articles.
Thank`s a lot
Regards
Tomas





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