The increasing integration of qualitative and quantitative analysis has largely focused on the benefits of in-depth case studies for enhancing our understanding of statistical results. This article goes in the other direction to show how some very straightforward quantitative methods drawn from information theory can strengthen comparative case studies. Using several prominent "structured, focused comparison" studies, we apply the information-theoretic approach to further advance these studies' findings by providing systematic, comparable, and replicable measures of uncertainty and influence for the factors they identified. The proposed analytic tools are simple enough to be used by a wide range of scholars to enhance comparative case study findings and ensure the maximum leverage for discerning between alternative explanations as well as cumulating knowledge from multiple studies. Our approach especially serves qualitative policy-relevant case comparisons in international studies, which have typically avoided more complex or less applicable quantitative tools.The epic methodological battles of the late twentieth century have largely subsided in light of the eminently reasonable notion that there are benefits to be gained from both the empirical confidence that comes from broad aggregate studies and the in-depth understanding generated by more focused case studies (Coppedge 1999). This reconciliation has brought a rising interest in the use of "multi-methods" to pair quantitative and qualitative work in the analysis of particular problems (Lieberman 2005). The multi-methods approach has primarily focused on the parallel application of large-N and small-n analytics to the same empirical issue. In this paper, we argue for an even tighter integration of quantitative and qualitative methods and demonstrate a quantitative but simple and accessible approach to enhance small-n case study research.Our proposed approach applies where traditional statistics fall short. It complements and offers unique advantages over existing quantitative tools for small-n studies. Most importantly, we aim to aid qualitative scholars who typically would not use quantitative tools, but would benefit significantly from these improvements. To this end, we draw on information theory to propose a rigorous yet simple and broadly accessible approach to uncertainty reduction (Shannon 1948;Cover and Thomas 2006). We especially focus on policy-relevant comparative case studies involving assessments of the relative impacts of multiple factors theorized to affect an uncertain outcome-under the constraints of few cases, significant challenges in gathering comparable data, and potentially very consequential policy implications of decisions that may be informed by such studies. Our approach is thus in the tradition of, and aims to strengthen, the case study methods frequently used in international studies and explicitly designed for generating and accumulating policy-relevant knowledge across multiple cases.The "structured, focused comparison" is a leadi...