VanderWeele, TylerMathur, Maya B.2019-05-162018-112018-08-312018http://nrs.harvard.edu/urn-3:HUL.InstRepos:39947171In many empirical disciplines, scientific discovery is modularized into discrete papers each investigating one or more hypotheses. Synthesizing these modules of evidence is critical to inform a balanced and appropriately evolving view of the overall evidence on a topic as well as to identify where substantial uncertainty remains. This dissertation considers three realms in which such synthesis can occur: (1) when meta-analyzing multiple studies; (2) when subjecting a single study to independent replications; and (3) when testing related hypotheses within a study. We consider specific methodological challenges within each of these realms and propose statistical methods to address each. All proposed methods are implemented in R packages.application/pdfenStatisticsThesis or Dissertation2019-05-160000-0001-6698-2607