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Many group formation strategies have been used within the design of asynchronous discussions to increase their effectiveness. In this research, we used a modularity optimization method (Blondel 2008) for community detection to explore group effectiveness by examining the network measures in global and local levels using asynchronous discussion data. Our analysis showed some variations of network measures in groups that clearly underscore group effectiveness. Therefore, we believe this method is promising for analyzing the relations in groups to anticipate the group effectiveness and identify the implications of using this algorithm for designing and analyzing effective groups in online discussions.