Statistical Methods for Evidence Synthesis
Mathur, Maya B.
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AbstractIn 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.
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