Construction of resolvable spatial row-column designs

被引：50

作者：

Williams, ER

John, JA

Whitaker, D

机构：

[1] CSIRO, Forestry & Forest Prod, Kingston, ACT 2604, Australia

[2] Univ Waikato, Dept Stat, Hamilton, New Zealand

来源：

BIOMETRICS | 2006年 / 62卷 / 01期

关键词：

average efficiency factor; deviance; latinized designs; linear variance; residual maximum likelihood; resolvable designs; row-column designs; spatial designs;

D O I：

10.1111/j.1541-0420.2005.00393.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Resolvable row-column designs are widely used in field trials to control variation and improve the precision of treatment comparisons. Further gains can often be made by using a spatial model or a combination of spatial and incomplete blocking components. Martin, Eccleston, and Gleeson (1993, Journal of Statistical Planning and Inference 34, 433-450) presented some general principles for the construction of robust spatial block designs which were addressed by spatial designs based on the linear variance (LV) model. In this article we define the two-dimensional form of the LV model and investigate extensions of the Martin et; al. principles for the construction of resolvable spatial row column designs. The computer construction of efficient spatial designs is discussed and some comparisons made with designs constructed assuming an autoregressive variance structure.

引用

页码：103 / 108

页数：6

共 25 条

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