Some statistical aspects of the planning of non-orthogonal experiments of split-split-plot type
Katarzyna Ambroży-Deręgowska
katarzyna.ambrozy-deregowska@up.poznan.plKatedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)
Iwona Mejza
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)
Abstract
The aim of this paper is to present a method of constructing incomplete split-split-plot type designs for non-orthogonal experiments with at least three factors. Many methods of constructing incomplete designs are known from the literature, often drawing on the rich theory of block designs. When choosing one or more such designs to generate, for example, an incomplete split-split-plot design, special attention must be paid, inter alia, to the optimal use of the experimental material. Consideration should also be given to the possibility of using control or standard treatments for one or more factors, and the possibility of planning the experiment so that the treatment contrasts most interesting to the researcher are estimated with the greatest precision (efficiency). In this paper, the above considerations are illustrated with reference to a new incomplete split-split-plot design for an experiment with winter wheat. The statistical consequences of planning an experiment with such a design are described. The statistical analysis uses techniques appropriate to multi-stratum experiments, as well as the theory of basic contrasts.
Keywords:
design efficiency, non-orthogonal experiment, partially balanced block design, split-split-plot designReferences
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Authors
Katarzyna Ambroży-Deręgowskakatarzyna.ambrozy-deregowska@up.poznan.pl
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland
Authors
Iwona MejzaKatedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland
Statistics
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