Homework VII: Ego-Network Metrics

Size, Effective Size, and Clustering

(a) Ego to alter ties.

(b) Alter to alter ties.

Figure 1: Ego Network ties in a hypothetical ego-network.

• Consider Figure 1 (a). This shows the ego-to-alter ties in a hypothetical ego-network.

• Consider Figure 1 (b). This shows the alter-to-alter ties in the hypothetical ego-network shown in Figure 1 (a).

1. What is the size of ego’s network?
   
   
   
   
   
   

2. What is the effective size of ego’s network?
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

3. What is ego’s clustering coefficient?
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

Composition, Diversity, and Homophily

(a) Gender Identification of Alters.

(b) Ethnoracial identification of alters.

(c) Role relations of alters with Ego.

(d) Educational Attainment of alters.

Figure 2: Socio-demographic Characteristics of Alters

Figure 2 (a) through Figure 2 (d) show some sociodemographic and role-relational characteristics of alters in ego’s network. Ego is a UCLA student who identifies as Black and as a Man. Using this information:

1. Compute Ego’s EI homophily index with respect to gender identity.
   
   
   
   
   
   

2. Compute Ego’s EI homophily index with respect to Ethnoracial identification.
   
   
   
   
   
   

3. Compute the proportion of neighbors in Ego’s network.
   
   
   
   
   
   

4. Compute the proportion of people who identify as Hispanic in Ego’s network.
   
   
   
   
   
   

5. Compute the proportion of people with a high school degree in Ego’s network.
   
   
   
   
   
   

6. Compute the diversity of Ego’s Network with respect to ethnoracial identity.
   
   
   
   
   
   

7. Compute the diversity of Ego’s Network with respect to education.
   
   
   
   
   
   

8. Compute the diversity of Ego’s Network with respect to gender identity.
   
   
   
   
   
   

9. Does ego have a stronger same-group preference with respect to race than with respect to gender? (Yes/No, show your reasoning)
   
   
   
   
   
   

10. Is the diversity of ego’s network larger when it comes to race than when it comes to education (Yes/No, show your reasoning)
    
    
    
    
    
    

11. What is the proportion of ego’s network composed of friends who are also Women?
    
    
    
    
    
    

12. Compute the proportion of people who identify as either Men or Women in ego’s network.