Robust estimators and designs for field experiments |
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Authors: | Douglas P. Wiens Julie Zhou |
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Affiliation: | 1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1;2. Department of Mathematics and Statistics, University of Victoria, Canada |
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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. |
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Keywords: | Primary 62K05, 62F35 secondary 62P12 |
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