A method for constructing balanced incomplete-block designs with nested rows and columns

A method for constructing balanced incomplete-block designs with nested rows and columns
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一种构建具有嵌套行和列的平衡不完全块设计的方法

DOI:
10.1093/biomet/73.3.695
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发表时间:
1986
期刊:
影响因子:
2.7
通讯作者:
Ching
Ching
中科院分区:
数学2区
文献类型:
--
作者:
Ching

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本文给出了一种构造行列嵌套平衡不完全区组设计的一般方法。在许多设计中,处理区组、处理行和处理列的关联矩阵都不是平衡不完全区组设计的关联矩阵。如果将构造方法应用于一般平衡设计,则所得设计也是一般平衡的。
SUMMARY A general method for constructing balanced incomplete-block designs with nested rows and columns is presented. Many designs are obtained in which none of the treatmentblock, treatment-row and treatment-column incidence matrices is the incidence matrix of a balanced incomplete-block design. If the method of construction is applied to a generally balanced design, then the resulting design is also generally balanced.