On finding trend-free block designs

被引：0

作者：

Lin, WC

Stufken, J

机构：

[1] Iowa State Univ, Stat Lab, Ames, IA 50011 USA

[2] Iowa State Univ, Dept Stat, Ames, IA 50011 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1999年 / 78卷 / 1-2期

关键词：

trend-free designs; time or spatial trends; search algorithm; optimal assignment problem;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce and discuss a new algorithm to convert a given binary block design, if possible, into a linear trend-free block design. The only permissible operation in attempting this conversion is that of reallocating treatments to plots within blocks; the treatment-block incidence structure is not allowed to be changed. We discuss an extension of the algorithm to cases where the trend is thought to be of a higher degree, and establish a relation between the algorithm and the optimal assignment problem, a well-known problem in operations research. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：57 / 70

页数：14

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