There has been increasing interest in discovering precision medicine in current drug development. One aspect of precision medicine is to develop new therapies that target a subgroup of patients with enhanced treatment efficacy through clinical trials. Another aspect is to tailor existing therapies to each patient so that everyone can get the most “suitable” treatment. Motivated by analyzing the Age-Related Eye Disease Study (AREDS) data, this dissertation proposes new statistical methods to address issues in both aspects. In the first part, I propose a novel multiple-testing-based approach to simultaneously identify and infer subgroups with enhanced treatment efficacy. Specifically, I formulate the null hypotheses through contrasts and co...