A complex structure measure for social groups was established with a view to reflecting the degree of interaction within a social group. The quantitative degrees of relationship between two group members each and their distributions within the group are considered. These distributions can be characterized quantitatively on different hierarchical levels to which a specific meaning can be attributed. The complex structure measure is a combination of measures for the different hierarchical levels. A stratification of scientists based on the number of publications in a journal is reflected in the results obtained by the complex structure measure. Specific information is provided both by the complex structure measure and by the measure on different levels.