Final answer:
Social network analysis demonstrates the capability of group members to treat each other in similar ways, influenced by the dynamics of their social ties. The concepts of power and authority, as defined by Max Weber, affect these interactions within social networks.
Step-by-step explanation:
Social network analysis illuminates the significant influence of group dynamics on social ties and interactions. In the context of probing why social network analysis is helpful, the answer is that members have the capability to treat each other in similar ways. This corresponds to the fact that social ties affect interactions and how group members connect and relate to individuals within and beyond the group. Such ties can lead to a number of outcomes and behaviors within the group, including group polarization, groupthink, and homophily, where members form connections based on similarities.
Understanding the difference between power and authority is crucial in social network analysis. According to sociologist Max Weber, power is the ability to exercise one's will over others, while authority is influence based on perceived legitimacy. These concepts directly impact how group members treat one another, reflecting the varying dynamics of both interpersonal and larger societal structures.