REGULAR BLOCKMODELS OF MULTIWAY, MULTIMODE MATRICES
REGULAR BLOCKMODELS OF MULTIWAY, MULTIMODE MATRICES
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DOI：
10.1016/0378-8733(92)90015-y
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发表时间：
1992-03-01
期刊：
影响因子：
3.1
通讯作者：
EVERETT, MG
中科院分区：
文献类型：
--
作者：
BORGATTI, SP;EVERETT, MG
块模型用于折叠系统中的冗余元素，以澄清元素之间的关系模式。传统的块模型根据结构等价性来定义冗余。这种选择很好地满足了许多分析目的，但对其他目的来说是不够的。特别是，角色系统可以更好地由基于正则等价的块模型建模。本文的第一个目标是将块模型推广到结构等价和正则等价。传统块模型的另一个局限性是它们仅针对2路1模式邻接矩阵（的集合）定义。这不包括常见的数据集，如按事件的行为者，按组织的行为者，按用途的物品和按变量的案例矩阵。它还排除了3向数据，如演员-演员-时间或主题-动词-对象矩阵。本文的第二个目标是定义一般多路、多模式矩阵的块模型。在这样做的过程中，我们也将注意力的焦点从对参与者（或其他实体）的阻碍转移到对关系（或多路细胞）的阻碍上。
Blockmodels are used to collapse redundant elements in a system in order to clarify the patterns of relationships among the elements. Traditional blockmodels define redundancy in terms of structural equivalence. This choice serves many analytic purposes very well, but is inadequate for others. In particular, role systems would be better modeled by blockmodels based on regular equivalence. The first goal of this paper is to generalize blockmodels to incorporate both structural and regular equivalence. Another limitation of traditional blockmodels is that they are defined only for (collections of) 2-way 1-mode adjacency matrices. This excludes common datasets such as actor-by-event, actor-by-organization, item-by-use and case-by-variable matrices. It also excludes 3-way data such as actor-by-actor-by-time or subject-by-verb-by-object matrices. The second goal of this paper is to define blockmodels for multiway, multimode matrices in general. In so doing, we also shift the focus of attention away from the blocking of actors (or other entities) and toward the blocking of ties (or multiway cells).