Some block designs with nested rows and columns for research on pesticide dose limitation

被引：7

作者：

Kozlowska, Maria ^{[1
]}

Lacka, Agnieszka ^{[1
]}

Krawczyk, Roman ^{[2
]}

Kozlowski, Radoslaw J. ^{[3
]}

机构：

[1] Poznan Univ Life Sci, Dept Math & Stat Methods, PL-60637 Poznan, Poland

[2] Inst Plant Protect NRI, Weed Sci & Plant Protect Tech Dept, PL-60318 Poznan, Poland

[3] Poznan Univ Life Sci, Dept Appl IT, Inst Agr Engn, PL-60637 Poznan, Poland

来源：

ENVIRONMETRICS | 2011年 / 22卷 / 06期

关键词：

block design with nested rows and columns; mixed model; group divisible design; C-design; factorial experiment; near-factorial experiment; pesticide dose; INTEGRATED WEED MANAGEMENT; CROP;

D O I：

10.1002/env.1070

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

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 (C) 2010 John Wiley & Sons, Ltd.

引用

页码：781 / 788

页数：8

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