In this note, we demonstrate an interesting use of the posterior distributions (and corresponding posterior samples of proficiency) that are yielded by fitting a fully Bayesian test scoring model to a complex assessment. Specifically, we examine the efficacy of the test in combination with the specific passing score that was chosen through expert judgment, or, in general, any external a priori criterion. In addition, we study the robustness of the test's efficacy with respect to choice of the passing score.