Modern observational and experimental biological data has undergone a revolution. Driven by new biotechnology and computing advances, high dimensional, high density, functional multilevel and longitudinal biological signals are becoming commonplace in medical and public health research. These types of signals historically occurred in small clinical or experimental settings, often referred to as the """"""""small n, large p"""""""" problem. We view the extension of these biological signals to cohort studies with longitudinal or hierarchical structure as a next generation of biostatistical problems. We've taken to calling this the """"""""hierarchical large n, large p"""""""" problem. The goal of this grant is to introduce general methods for analyzing this form of biostatistical data. We propose three major aims for the analysis of multilevel or longitudinally collected biosignals. The first extends multilevel functional principal components, the investigators'generalization of functional principal components, to longitudinal and high dimensional settings. The second considers the investigators bi-directional filtering and extends it in high-dimensional and longitudinal settings. The third considers model-based independent component blind source separation and extends it to longitudinal settings. To solve this aim, we will also consider the fundamental problem of running MCMC samplers for high dimensional parameter spaces. Specifically, no current work exists for convergence control when the number of parameters is larger than the number of iterations. We propose a method of convergence control using finite population sampling. Our methods will be applied to unique data sets involving imaging (MRI, fMRI, DTI), electrophysiology (EEG, ECOG), sleep measurement (polysomnography) and novel measurements of aging (accelerometer). In the preliminary results, we demonstrate our capacity for working with such data with novel findings in the analysis of EEG, MRI and fMRI data sets. Methods such as unsupervised clustering, blind source separation and dimension reduction are generally recognized first steps in analyzing high dimensional data, and have been applied success- fully in an amazingly diverse collection of settings. Our proposal generalizes these basic approaches to high dimensional data while considering hierarchical and longitudinal directions of variation. Hence, our approaches will form a basic foundation for next generation biomedical functional data.
Modern observational data is often longitudinal or multilevel functional biological signals. We propose a foundational approach for the analysis of such data, including scalable computing to next generation data sets.
|Airan, Raag D; Vogelstein, Joshua T; Pillai, Jay J et al. (2016) Factors affecting characterization and localization of interindividual differences in functional connectivity using MRI. Hum Brain Mapp 37:1986-97|
|Fisher, Aaron; Caffo, Brian; Schwartz, Brian et al. (2016) Fast, Exact Bootstrap Principal Component Analysis for p > 1 million. J Am Stat Assoc 111:846-860|
|Qiu, Huitong; Han, Fang; Liu, Han et al. (2016) Joint Estimation of Multiple Graphical Models from High Dimensional Time Series. J R Stat Soc Series B Stat Methodol 78:487-504|
|Sweeney, Elizabeth M; Shinohara, Russell T; Dewey, Blake E et al. (2016) Relating multi-sequence longitudinal intensity profiles and clinical covariates in incident multiple sclerosis lesions. Neuroimage Clin 10:1-17|
|Li, Shanshan; Chen, Shaojie; Yue, Chen et al. (2016) A Parcellation Based Nonparametric Algorithm for Independent Component Analysis with Application to fMRI Data. Front Neurosci 10:15|
|Xiao, Luo; Zipunnikov, Vadim; Ruppert, David et al. (2016) Fast Covariance Estimation for High-dimensional Functional Data. Stat Comput 26:409-421|
|Kass, Robert E; Caffo, Brian S; Davidian, Marie et al. (2016) Ten Simple Rules for Effective Statistical Practice. PLoS Comput Biol 12:e1004961|
|Nebel, Mary Beth; Eloyan, Ani; Nettles, Carrie A et al. (2016) Intrinsic Visual-Motor Synchrony Correlates With Social Deficits in Autism. Biol Psychiatry 79:633-41|
|Yang, Juemin; Shmuelof, Lior; Xiao, Luo et al. (2015) On tests of activation map dimensionality for fMRI-based studies of learning. Front Neurosci 9:85|
|Muschelli, John; Ullman, Natalie L; Mould, W Andrew et al. (2015) Validated automatic brain extraction of head CT images. Neuroimage 114:379-85|
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