A statistical model for relational analysis

The diadic relationships existing in a group can be defined in terms of the members' choices, rejections, and their perceptions of being chosen and rejected. The number of possible distinct diads is 45. Formulas are given for computing the expected frequency and variance of the different diadic forms expected, when certain random factors are taken into account. These values must be known if the operation of factors other than the specified random ones is to be studied. Values obtained from two models with different assumptions are compared with empirical values. A simplified treatment is possible for groups with ten or more members.The present problem emerged from research undertaken as part of a project in interpersonal perception being carried out at the Laboratory of Social Relations at Harvard with the financial aid of the Office of Naval Research (Task Order N5ori-07646).