Power of edge exclusion tests for graphical log-linear models

  • Authors:

  • M. Fátima Salgueiro;Peter W. F. Smith;John W. McDonald

  • Affiliations:

  • Departamento de Métodos Quantitativos, ISCTE Business School, Lisboa, Portugal;Southampton Statistical Sciences Research Institute, University of Southampton, Southampton, UK;Southampton Statistical Sciences Research Institute, University of Southampton, Southampton, UK

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2006

Quantified Score

Hi-index 0.02

Visualization

Abstract

Asymptotic multivariate normal approximations to the joint distributions of edge exclusion test statistics for saturated graphical log-linear models, with all variables binary, are derived. Non-signed and signed square-root versions of the likelihood ratio, Wald and score test statistics are considered. Non-central chi-squared approximations are also considered for the non-signed versions of the test statistics. Simulation results are used to assess the quality of the proposed approximations. These approximations are used to estimate the overall power of edge exclusion tests. Power calculations are illustrated using data on university admissions.