These articles are published in Environmetrics as a special issue on Handling complexity and uncertainty in environmental studies, arising from the TIES- GRASPA joint conference held in Bologna in 2009 and is edited by Daniela Cocchi, Department of Statistics University of Bologna, Italy and E. Marian Scott, School of Mathematics and Statistics, University of Glasgow, UK.
Special Issue Paper
Some block designs with nested rows and columns for research on pesticide dose limitation†
Article first published online: 18 NOV 2010
Copyright © 2010 John Wiley & Sons, Ltd.
Special Issue: Handling Complexity and Uncertainty in Environmental Studies, Arising from the TIES-GRASPA Joint Conference Held in Bologna in 2009
Volume 22, Issue 6, pages 781–788, September 2011
How to Cite
Kozłowska, M., Łacka, A., Krawczyk, R. and Kozłowski, R. J. (2011), Some block designs with nested rows and columns for research on pesticide dose limitation. Environmetrics, 22: 781–788. doi: 10.1002/env.1070
- Issue published online: 9 SEP 2011
- Article first published online: 18 NOV 2010
- Manuscript Accepted: 5 AUG 2010
- Manuscript Revised: 30 JUN 2010
- Manuscript Received: 27 NOV 2009
- block design with nested rows and columns;
- mixed model;
- group divisible design;
- factorial experiment;
- near-factorial experiment;
- pesticide dose
In 1979, Singh and Dey defined a block design with nested rows and columns (NRC for short). In this paper we take the view, common among statisticians, that the principles for the planning of factorial experiments and near-factorial experiments in NRC designs are not the same. A group divisible NRC design for a factorial experiment is considered. Some constructions of the designs are given. Necessary and sufficient conditions are formulated and proven for a group-divisible NRC design to be a C-design. For near-factorial experiments, when there are a levels of experimental factor A and b levels of experimental factor B and one control treatment is added, we propose a method for constructing NRC designs. A plant protection experiment on limitation of pesticide dose is described in order to show how the results can be applied. Copyright © 2010 John Wiley & Sons, Ltd.