Seminar on Social Networks Sociology 299s Seminar on Social Networks

Expectations for the course Seminar Homework Final paper Introduction Overview Expectations for the course Seminar Homework Final paper Go over the Syllabus Overview of Social Network Analysis Theory – What makes Networks unique? Methods – Tools & Approaches History (Freeman) Future/Scope (Borgatti & Butts)

What are the expectations for the course? 1) This is a Seminar High level of class participation Critical evaluations of reading 2) Homework Reading -- lots of it. Read smart. These are methods exercises, designed to make sure you know how to do the procedures. Not complicated, and usually very short. Self-graded: Solutions are posted along with the problems. 3) Final Paper Goal is to get something interesting published. Paper need to use either network ideas or methods Can be a revision of another paper (MA, course paper, etc.) Can be co-authored (up to 3 authors).

Syllabus Class Overview:

Theory: How does network Analysis differ? We live in a connected world: “To speak of social life is to speak of the association between people – their associating in work and in play, in love and in war, to trade or to worship, to help or to hinder. It is in the social relations men establish that their interests find expression and their desires become realized.” Peter M. Blau Exchange and Power in Social Life, 1964 "If we ever get to the point of charting a whole city or a whole nation, we would have … a picture of a vast solar system of intangible structures, powerfully influencing conduct, as gravitation does in space. Such an invisible structure underlies society and has its influence in determining the conduct of society as a whole." J.L. Moreno, New York Times, April 13, 1933 These patterns of connection form a social space, that can be seen in multiple contexts:

Theory: How does network Analysis differ? Source: Linton Freeman “See you in the funny pages” Connections, 23, 2000, 32-42.

High Schools as Networks Theory: How does network Analysis differ? High Schools as Networks

Theory: How does network Analysis differ? And yet, standard social science analysis methods do not take this space into account. “For the last thirty years, empirical social research has been dominated by the sample survey. But as usually practiced, …, the survey is a sociological meat grinder, tearing the individual from his social context and guaranteeing that nobody in the study interacts with anyone else in it.” Allen Barton, 1968 (Quoted in Freeman 2004) Moreover, the complexity of the relational world makes it impossible to identify social connectivity using only our intuition. Social Network Analysis (SNA) provides a set of tools to empirically extend our theoretical intuition of the patterns that compose social structure.

Theory: Why would networks matter? Local vision Consider the following example. Here we have sampled respondents (red dots) reporting on their interaction with romantic partners. A classic local network module would ask about their characteristics and behaviors, then attempt to relate those characteristics to ego’s behavior. All of these sampled nodes have the exact same number of partners.

Theory: Why would networks matter? Global vision But these nodes are situated in dramatically different parts of the real underlying global network. Here some of them (lower left) are truly local isolates, but most are embedded in a larger network structure. These are real data from Add Health, on romantic involvement.

Social network analysis is: Network Methods: How Different? Social network analysis is: a set of relational methods for systematically understanding and identifying connections among actors. SNA is motivated by a structural intuition based on ties linking social actors is grounded in systematic empirical data draws heavily on graphic imagery relies on the use of mathematical and/or computational models. Social Network Analysis embodies a range of theories relating types of observable social spaces and their relation to individual and group behavior.

What are social relations? Network Methods: How Different? What are social relations? A social relation is anything that links two actors. Examples include: Kinship Co-membership Friendship Talking with Love Hate Exchange Trust Coauthorship Fighting

Network Methods: What Properties do we study? The substantive topics cross all areas of sociology. But we can identify types of questions that social network researchers ask: 1) Social network analysts often study relations as systems. That is, what is of interest is how the pattern of relations among actors affects individual behavior or system properties.

Other system examples include: Social Cohesion Network Methods: What Properties do we study? Other system examples include: Social Cohesion Relational (as opposed to property) notions of class Hierarchy and Domination Inter-group relations

2) Networks as social contexts Network Methods: What Properties do we study? 2) Networks as social contexts How does the network environment affect an actor’s behavior? Examples: Peer influence on delinquency Corporate interlocks and political participation International trade and war

3) Conduits for diffusion Network Methods: What Properties do we study? 3) Conduits for diffusion Relations are like wires or pipes: risks and resources flow through relations. This can have very wide implications: Diffusion of innovations (fads, rumors, etc.) Disease diffusion (STDs)

Network Methods: What Properties do we study? Social Network analysis lets us answer questions about social interdependence. These include: “Networks as Variables” approaches Are kids with smoking peers more likely to smoke themselves? Do unpopular kids get in more trouble than popular kids? Do central actors control resources? “Networks as Structures” approaches What generates hierarchy in social relations? What network patterns spread diseases most quickly? How do role sets evolve out of consistent relational activity? Both: Connectionist vs. Positional features of the network We don’t want to draw this line too sharply: emergent role positions can affect individual outcomes in a ‘variable’ way, and variable approaches constrain relational activity.

Network Methods: What Properties do we study? Levels of Analysis 2-step Partial network Primary Group Global-Net Ego-Net Best Friend Dyad

We can examine networks across multiple levels: Social Network Data Basic Data Elements: Levels of analysis We can examine networks across multiple levels: 1) Ego-network - Have data on a respondent (ego) and the people they are connected to (alters). Example: 1985 GSS module - May include estimates of connections among alters 2) Partial network - Ego networks plus some amount of tracing to reach contacts of contacts - Something less than full account of connections among all pairs of actors in the relevant population - Example: CDC Contact tracing data for STDs

We can examine networks across multiple levels: Social Network Data Basic Data Elements: Levels of analysis We can examine networks across multiple levels: 3) Complete or “Global” data - Data on all actors within a particular (relevant) boundary - Never exactly complete (due to missing data), but boundaries are set Example: Coauthorship data among all writers in the social sciences, friendships among all students in a classroom

Network Methods: What Properties do we study? Global Networks Net as Dependent Net as Independent Local Networks

We represent actors with points and relations with lines. Network Methods: How do data differ? The unit of interest in a network are the combined sets of actors and their relations. We represent actors with points and relations with lines. Actors are referred to variously as: Nodes, vertices, actors or points Relations are referred to variously as: Edges, Arcs, Lines, Ties Example: b d a c e

Network Methods: How do data differ? Social Network data consists of two linked classes of data: Nodes: Information on the individuals (actors, nodes, points, vertices) Network nodes are most often people, but can be any other unit capable of being linked to another (schools, countries, organizations, personalities, etc.) The information about nodes is what we usually collect in standard social science research: demographics, attitudes, behaviors, etc. Often includes dynamic information about when the node is active Graph theory notation: G(V,E)

Network Methods: How do data differ? Social Network data consists of two linked classes of data: b) Edges: Information on the relations among individuals (lines, edges, arcs) Records a connection between the nodes in the network Can be valued, directed (arcs), binary or undirected (edges) One-mode (direct ties between actors) or two-mode (actors share membership in an organization) Includes the times when the relation is active Graph theory notation: G(V,E)

Network Methods: How do data differ? In general, a relation can be: (1) Binary or Valued (2) Directed or Undirected a b c e d Undirected, binary Directed, binary Undirected, Valued Directed, Valued 1 3 4 2 The social process of interest will often determine what form your data take. Almost all of the techniques and measures we describe can be generalized across data format.

Multiplex categorical edges Network Methods: How do data differ? In general, a relation can be: (1) Binary or Valued (2) Directed or Undirected b d a c e Directed, Multiplex categorical edges The social process of interest will often determine what form your data take. Conceptually, almost all of the techniques and measures we describe can be generalized across data format, but you may have to do some of the coding work yourself….

Where does SNA fit in the overall scheme of Social Science? History: Trends Where does SNA fit in the overall scheme of Social Science? Fast growing, dynamic field. Interdisciplinary: Freeman (fig 1.1) shows that the Networks are showing up in many more substantive areas each year Articles with “social network” in title or abstract in Sociological Abstracts. Borgatti & Foster JoM 2003 29:991-1013

Where does SNA fit in the overall scheme of Social Science? History: Trends Where does SNA fit in the overall scheme of Social Science? Fast growing, dynamic field. Interdisciplinary: Freeman (fig 1.1) shows that the Networks are showing up in many more substantive areas each year Find much the same trend if you look at Web of Science instead…

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Prehistory Theory: Comte, Spenser, Durkheim, and most importantly Simmel Data: A number of early anthropologists (1800s) and developmental psychologists (1920s). Graphic Imagery: Very early in describing descent systems & kinship. Hobson (1894) showed overlapping directors Mathematics & Computation: Probability and formal algebra on relational data (1870s) All of these were ‘fits and starts’ that did not lead to anything systematic

History: Intellectual Development (“prehistory”) This image is from the original publication in 1741. Though modern reproductions of his proof reduce this to the image of a graph, His publication only shows a tabular listing. But the tables refer back to the map and depend on the bridge/land topology to work. Euler, 1741 Euler’s treatment of the “Seven Bridges of Kronigsberg” problem is one of the first moments of graph theory….

History: Intellectual Development (“prehistory”) The study of network has depended on a graphical element since its first moments: This image is from the original publication in 1741. Though modern reproductions of his proof reduce this to the image of a graph, His publication only shows a tabular listing. But the tables refer back to the map and depend on the bridge/land topology to work. Or early representations of organizational relations (1921)

History: Intellectual Development (“prehistory”) The study of network has depended on a graphical element since its first moments: Moreno claimed authorship of the idea; citing no real inspiration other than his own creativity. But graph theory has been going since 1740s, kinship diagrams since at least the 1870s, org charts from the 1920s, etc. So he’s not operating in a vacuum. ..but Moreno’s sociograms from Who Shall Survive (1934) are typically seen as the beginnings of social network analysis (certainly if you were to ask Moreno!).

History: Intellectual Development (“prehistory”) Lundberg & Steel 1938 – Using a “Social Atom” representation The flow of images continued over time, marking a wide range of potential styles….

History: Intellectual Development (“prehistory”) Charles Loomis – 1948 Loomis, 1940s The flow of images continued over time, marking a wide range of potential styles….

History: Intellectual Development (“prehistory”) Northaway’s – “Target Sociograms” Bronfenbrenner, 1941 Northway 1952 The flow of images continued over time, marking a wide range of potential styles….

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Birth I: Sociometry (1930s) Jacob Moreno is credited with the first systematic use of SNA-like techniques, though evidence suggests he was aided strongly by Jennings. The mathematical/probability treatment came from Lazersfeld (1938). The thrust died out. Freeman attributes this largely to Moreno’s idiosyncratic personality. Birth II: First Harvard Thrust Grounded in the community structure literature of Warner and Lunt. Bank wiring room data Southern Women data Homans’ work on interaction leading to The Human Group William Foote Whyte Street Corner Society With one exception, most of this work failed to do the math needed to make it really SNA. More importantly, it didn’t provide a general frame for others to work within. The actors also moved apart, making progress difficult.

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Dark Ages I: 1940s Bavelas, Festinger, Harary, Cartwright, Heider, Katz, all made strong contributions. The work was fundamental, but did not take off to other substantive areas. Dark Ages II: 1950s -Work in Lund, Sweden, looking at innovation diffusion Work in Chicago, including Rapoport’s famous studies, the work was killed by the Communist scare in the 50s Columbia had Merton and Lazarsfeld, who developed centers doing network research, providing a model but not a strong start Everett M. Rogers (from Iowa, through OSU, to Michigan State) started his work. Radcliff-Brown identified the importance of algebreic models for any social science (see quote on p.103) Freeman, Fararo, Sunshine worked from Northwestern and Syracuse to make progress.

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Dark Ages III: 1960s Ed Laumann, Peter Blau, James Davis, all started work at this time. “each succeeding contribution introduced a new segment of the social science community to the structural perspective. But, at the end of the 1960s, no version of network analysis was yet universally recognized as providing a general paradigm for social research. By then, however, the broad community of people engaged in social research were ready to embrace a structural paradigm.” (p.120)

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Harvard Renaissance - The key idea here is that things took off under Harrison White at Harvard.

History: Intellectual Development The Development of Social Network Analysis by Linton Freeman Power of Organizations In the end, Freeman attributes the success of SNA to both technical changes (UCINET, in particular) and organizational changes, particularly a series of conferences that culminated in the formation of INSNA and the Sunbelt Social Network Conference.

History: Current Challenges Social Networks or Networks? (Borgatti Science) Universal or Particular? Static or (which) dynamic? (Butts Science)