Exponential-family Random Graph Models for Rank-order Relational Data

Abstract

Rank-order relational data, in which each actor ranks other actors according to some criterion, often arise from sociometric measurements of judgment or preference. The authors propose a general framework for representing such data, define a class of exponential-family models for rank-order relational structure, and derive sufficient statistics for interdependent ordinal judgments that do not require the assumption of comparability across raters. These statistics allow estimation of effects for a variety of plausible mechanisms governing rank structure, both in a cross-sectional context and evolving over time. The authors apply this framework to model the evolution of liking judgments in an acquaintance process and to model recall of relative volume of interpersonal interaction among members of a technology education program.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 06, 2017
Source ID
10.1177/0081175017692623

Entities

People

  • Carter T. Butts
  • Pavel N. Krivitsky

Organizations

  • Army Research Office
  • Eunice Kennedy Shriver National Institute of Child Health and Human Development
  • Office of Naval Research
  • University of California
  • University of Wollongong

Tags

Readers

  • Psychometric Testing or Psychological Assessment.
  • Regression Analysis.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.