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Group Testing Identification: Objective Functions, Implementation, And Multiplex Assays, Brianna D. Hitt
Group Testing Identification: Objective Functions, Implementation, And Multiplex Assays, Brianna D. Hitt
Department of Statistics: Dissertations, Theses, and Student Work
Group testing is the process of combining items into groups to test for a binary characteristic. One of its most widely used applications is infectious disease testing. In this context, specimens (e.g., blood, urine) are amalgamated into groups and tested. For groups that test positive, there are many algorithmic retesting procedures available to identify positive individuals. The appeal of group testing is that the overall number of tests needed is significantly less than for individual testing when disease prevalence is small and an appropriate algorithm is chosen. Group testing has a number of applications beyond infectious disease testing, such as …
Group Testing Regression Models, Boan Zhang
Group Testing Regression Models, Boan Zhang
Department of Statistics: Dissertations, Theses, and Student Work
Group testing, where groups of individual specimens are composited to test for the presence or absence of a disease (or some other binary characteristic), is a procedure commonly used to reduce the costs of screening a large number of individuals. Statistical research in group testing has traditionally focused on a homogeneous population, where individuals are assumed to have the same probability of having a disease. However, individuals often have different risks of positivity, so recent research has examined regression models that allow for heterogeneity among individuals within the population. This dissertation focuses on two problems involving group testing regression models. …