On the Composition of Balanced Incomplete Block Designs
On the Composition of Balanced Incomplete Block Designs
复制标题
论平衡不完全区组设计的组合
DOI：
10.4153/cjm-1960-015-8
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发表时间：
1960
期刊：
影响因子：
--
通讯作者：
S. Shrikhande
中科院分区：
文献类型：
--
作者：
R. C. Bose;S. Shrikhande
本文的目的是发展一种构造平衡不完全区组设计的方法。它包括利用两个平衡的不完全区组设计的存在，通过可以被称为组合的方法来获得另一种这样的设计。1.关于正交表和平衡不完全区组设计的初步结果。考虑k行N列的矩阵A=(Aij)，其中每个aij表示整数1、2、…中的一个，S。考虑所有n列的t行子矩阵，它可以由这个数组t≤k组成。任何拥挤的子矩阵的每一列都可以被认为是一个有序的t-let。
The object of this paper is to develop a method of constructing balanced incomplete block designs. It consists in utilizing the existence of two balanced incomplete block designs to obtain another such design by what may be called the method of composition. 1. Preliminary results on orthogonal arrays and balanced incomplete block designs. Consider a matrix A = (aij) of k rows and N columns, where each aij represents one of the integers 1, 2, … , s. Consider all t-rowed submatrices of N columns, which can be formed from this array, t ≤ k. Each column of any Crowed submatrix can be regarded as an ordered t-plet.