In the subset-selection approach to ranking and selection, a decision-maker seeks a subset of simulated systems that contains the best with high probability. We present a new, generalized framework for constructing these subsets and demonstrate that some existing subset-selection procedures are situated within this framework. The subsets are built by calculating, for each system, a minimum standardized discrepancy between the observed performances and the space of problem instances for which that system is the best. A system's minimum standardized discrepancy is then compared to a cutoff to determine whether the system is included in the subset. We examine the problem of finding the tightest statistically valid cutoff for each system and draw connections between our approach and other subset-selection methodologies. Simulation experiments demonstrate how the screening power and subset size are affected by the choice of standardized discrepancy.