Power of edge exclusion tests for graphical log-linear models

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Description/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.