Log-Multiplicative Models for Valued Social Relations

Abstract

The methodology described here is designed for social networks and is based on the research of Holland and Leinhardt, Wasserman and Iacobucci, and Many others. Holland and Leinhardt termed the simplest model from their family of log-linear models p1. The models presented in this article are not log-linear—rather, they are log-multiplicative, in the spirit of other models described in this special issue. Our models generalize the p1 family of models for social networks by introducing multiplicative interaction parameters. These generalizations are applicable to a much wider range of data, particularly valued relations.