This is a final report, for administrative purposes, of studies to be published in the general category of mathematical theory of social groups, with emphasis on the large groups typical of educational communities. Since the study of the large and complicated structures of high school and college communities is difficult by purely empirical…

Two hundred twenty-seven organizational units drawn from a variety of industries were cluster-analyzed on the basis of their similarities across 18 behavioral and structural dimensions of effectiveness. Using a multivariate subgrouping procedure, eight homogeneous clusters of units were found, varying in size from 8-65 units, and each…