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**GROUP > CENTRALITY > DEGREE > TEST **

**PURPOSE **Performs a permutation test to assess whether a specified group has a high degree group centrality score.

**DESCRIPTION** The group degree centrality of a group of actors is the size of the set of actors who are directly connected to group members. This routine uses a simple sampling procedure to test whether a specified group has a higher group degree centrality measure than those produced at random.

**PARAMETERS** **Input ****Network:**

** **Name of file containing network to be analyzed. Data type: Graph.

**Central Group **

Name of UCINET file containing a column vector which specifies the actors in the specified group. A 1 in row j indicates that actor j is in the group and a 0 indicates that the actor is not a member.

**Number of permutations **(Default = 5000)

Number of permutations taken in the random sampling procedure.

**LOG FILE** The group degree centrality for the specified data set, this is labeled as the observed # reached. The mean and standard deviation of the group centrality for the random samples. Finally the number of times, expressed as a p-value, that a random sample achieved a group centrality score as high or higher than the specified group.

**TIMING **O(N^2).

**COMMENTS **None

**REFERENCE **Everett, M.G. and Borgatti, S.P. (1999) The Centrality of Groups and Classes. Journal of Mathematical Sociology 23 181-202.