Patients are often prescribed with multiple medications, especially those with chronic conditions. This leads to the possibility of concurrent use of multiple medications in overlapping time intervals. Clinical studies have shown that polypharmacy has a substantial impact on health outcomes. Increasing the number of medications that an individual or a patient takes increases the likelihood that the individual or patient would have an adverse drug event, drug misuse, drug overdose, or reduced therapeutic effect of the drugs. These problems are often behind emergency room admissions in hospitals. Thus, studying polypharmacy problems and ways to resolve them have long been of great interest to health care professionals. In this thesis, we focus on analyzing polypharmacy based on information extracted from prescription drug claims data. Prior work has defined polypharmacy, based mainly on the number of drugs, or the number of drug classes. Here, we emphasize the use of drug active ingredients as another basis for definition of polypharmacy. Then, we develop an algorithm for automated determination of the thresholds required for each of the different definitions of polypharmacy. Based on this, we perform a comparative analysis of the different approaches to polypharmacy. We analyzed the possible association between levels of polypharmacy and ER visits. Independent of the basis used for the polypharmacy definition, the results showed a general increase in ER problems with increasing number of drugs/drug classes/or active ingredients. However, the threshold for polypharmacy varied with the specific basis used in the definition. This observation led to a composite definition of polypharmacy, involving the use of a combination of different basic elements at the same time, rather than the current practice of using one single element. Further computational analysis included studying the occurrence of single-elements (e.g., single drugs, single classes, or single active ingredients), and the co-occurrence of multiple elements of the same basic type (e.g., two-drugs, two drug classes, two active ingredients, three-drugs, three drug classes, three active ingredients, etc.). This provides a repository of incidences of common drugs, active ingredients, drug class polypharmacy combinations, along with their richness, which can be a basis for further studies in drug safety and drug efficacy. The results from this work provides a framework for healthcare specialists to analyze the impact of each polypharmacy definition and their respective associations with emergency room (ER) visits, and which combinations of drugs, of drug classes, or of active ingredients are likely to result in significant hospitalization, and thus should be avoided. I would like to express sincere gratitude to my research advisor Dr. Donald A. Adjeroh, for his insightful guidance. I am thankful for him for understanding my condition and being extremely supportive for my work. His advice continuously contributed to making this project better. His earnest endeav...