学龄前儿童互动网络的对称核心-内聚块模型
Symmetric core-cohesive blockmodel in preschool children's interaction networks
摘要：
研究人员广泛研究了在学龄前儿童中观察到的推动网络形成的社会机制。然而，较少关注块模型中的全局网络结构。块模型是一个网络，其中节点是来自所研究网络的等效单元组（根据与其他单元的链接）。Cugmas et al.（2019）表明，相互性，流行性，非对称性和不同类型的传递性机制可以将全球网络结构引导到所提出的非对称核心内聚块模型。然而，他们没有提供任何证据表明这种全球网络结构实际上出现在任何经验数据中。在本文中，核心内聚块模型类型的对称版本的建议。此块模型类型由三组或更多组单元组成。来自每个组的单元在内部彼此很好地连接，而来自不同组的单元彼此不连接。这对所有组都是如此，除了其中的单元与网络中的所有其他单元都有相互链接的组。在这项研究中，它表明，所提出的块模型类型出现在学龄前儿童中收集的经验international网络。蒙特卡洛模拟证实，最经常研究的社会网络机制可以导致全球网络结构的对称块模型类型。本研究不考虑单位的属性。
英文摘要：
Researchers have extensively studied the social mechanisms that drive the formation of networks observed among preschool children. However, less attention has been given to global network structures in terms of blockmodels. A blockmodel is a network where the nodes are groups of equivalent units (according to links to others) from a studied network. Cugmas et al. (2019) showed that mutuality, popularity, assortativity, and different types of transitivity mechanisms can lead the global network structure to the proposed asymmetric core-cohesive blockmodel. Yet, they did not provide any evidence that such a global network structure actually appears in any empirical data. In this paper, the symmetric version of the core-cohesive blockmodel type is proposed. This blockmodel type consists of three or more groups of units. The units from each group are internally well linked to each other while those from different groups are not linked to each other. This is true for all groups, except one in which the units have mutual links to all other units in the network. In this study, it is shown that the proposed blockmodel type appears in empirical interactional networks collected among preschool children. Monte Carlo simulations confirm that the most often studied social network mechanisms can lead the global network structure to the proposed symmetric blockmodel type. The units' attributes are not considered in this study.
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