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University of Miami

Theses/Dissertations

2019

Correlation

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Conditional Roc Curves For A Paired Case-Control Design, Yalda Zarnegarnia Jul 2019

Conditional Roc Curves For A Paired Case-Control Design, Yalda Zarnegarnia

Open Access Dissertations

Many areas of research involve the analysis of correlated biomarker data. Correlated biomarker data arise from study designs including subjects that contain shared genetic or environmental factors. In a familial-matched design, the information about correlation might help to identify family members at increased risk of disease development and may lead to initiating treatment to slow or stop disease progression. Receiver operating characteristic (ROC) curves have been widely used in medical research to illustrate the performance of a biomarker in correctly distinguishing between diseased and non-diseased groups. Approaches appropriate to a familial-matched case-control design should accommodate inherent correlation in correctly estimating …


Design Of Random And Stationary Sources And Media For Structuring Light On Propagation And Scattering, Jia Li Apr 2019

Design Of Random And Stationary Sources And Media For Structuring Light On Propagation And Scattering, Jia Li

Open Access Dissertations

The dissertation incorporates a series of investigations relating to the design of coherence states for stationary, random sources, and correlation functions of spatially random, stationary media, for modulation of far fields radiated or scattered from them to the far zone, and, hence, for structuring of any observable statistical properties. In particular, we reveal how the coherence states of sources affect their far-zone radiated properties, including the spectral density, the scintillation index, and the intensity correlation function. Furthermore, we also present results that address how the spatial structuring of the refractive index correlation function of a three-dimensional (3D) medium influences the …