Term of Award

Summer 2014

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Department

Department of Mathematical Sciences

Committee Chair

Arpita Chatterjee

Committee Member 1

Charles Champ

Committee Member 2

Broderick Oluyede

Abstract

Network meta-analysis has been introduced as an extension of pairwise meta-analysis to facilitate indirect comparisons of multiple interventions that have not been studied in a head-to-head fashion. The use of network meta-analysis is becoming increasingly popular in biomedical sciences, especially in epidemiology and in clinical trials, where the safety and efficacy of a treatment is determined based on a series of studies with similar protocols. A search through medical journals revealed a lack of presentations of Bayesian models within a network meta-analysis framework and thus motivated further research into this combined area of study. The development of four hierarchical Bayesian models applicable to the field of network meta-analysis are presented. Two of them were constructed to estimate all possible drug-group comparisons, whereas the other two concentrate on estimating all pairwise drug comparisons. Moreover, the Bayesian models will also allow borrowing strength from other related studies. Two simulations demonstrating the capabilities of these models are also presented. The first simulation demonstrates the ability of the models to estimate all comparisons. The second simulation focuses on the models' abilities to estimate the overall mean comparison. The models are also applied to data provided in Liu et al.(2012) and the results compared to the bayesian network meta-analysis results presented by Liu et al.(2012).

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