This book provides an introduction to the theories, methods, and applications that constitute the social network perspective. Unlike more general texts, this title is designed for those current and aspiring educational researchers learning how to study, conceptualize, and analyze social networks. The author's main intent is to encourage you to consider the social network perspective in light of your emerging research interests and evaluate how well this perspective illuminates the social complexities surrounding educational phenomena. Whether your interests lie in examining a peer's influence on students' achievement, the relationship between social support and teacher retention, or how the pattern of relations among parents contributes to schools' norms, the tools introduced in this book will provide you with a slightly different take on these and other phenomena. Unlike other approaches, this perspective accounts for the importance of relationships within formal structures, and the informal patterns of interaction that emerge, sustain, or recede. Relying on diverse examples drawn from the educational research literature, this book makes explicit how the theories and methods associated with social network analysis can be used to better describe and explain the social complexities surrounding varied educational phenomena.

Structural Measures for Complete Networks

Objectives

The primary objective of this chapter is to introduce important concepts and measures that you use to describe static properties of social networks. More specifically, these concepts and measures apply to the analysis of complete networks, those networks for which you have complete relational information on each pair of actors, i and j, that constitute any given network. These measures are derived from relational data that are organized in a matrix whose rows and columns represent actors and whose cell values indicate the presence/strength of a tie. The concepts and measures that are discussed in this chapter reflect a variety of structural properties that have been of interest to network researchers for some time. This chapter allows you to ask ...

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