Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149997 | Journal of Statistical Planning and Inference | 2008 | 12 Pages |
Abstract
We consider the construction of designs for test-control field experiments, with particular attention being paid to the effects of spatial correlation between adjoining plots. In contrast to previous approaches, in which very specific correlation structures were modelled, we explicitly allow a degree of uncertainty on the part of the experimenter. While fitting a particular correlation structure—and variance structure and regression response—the experimenter is thought to be seeking protection against other possible structures in full neighbourhoods of these particular choices. Robustness, in a minimax sense, is obtained through a modification of the kriging estimation procedure, and through the assignment of treatments to field plots.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Douglas P. Wiens, Julie Zhou,