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dc.contributor.advisorCoull, Brent Andrew
dc.contributor.authorMeyer, Mark John
dc.date.accessioned2014-06-06T21:28:48Z
dc.date.issued2014-06-06
dc.date.submitted2014
dc.identifier.citationMeyer, Mark John. 2014. Function-on-Function Regression with Public Health Applications. Doctoral dissertation, Harvard University.en_US
dc.identifier.otherhttp://dissertations.umi.com/gsas.harvard:11608en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:12274591
dc.description.abstractMedical research currently involves the collection of large and complex data. One such type of data is functional data where the unit of measurement is a curve measured over a grid. Functional data comes in a variety of forms depending on the nature of the research. Novel methodologies are required to accommodate this growing volume of functional data alongside new testing procedures to provide valid inferences. In this dissertation, I propose three novel methods to accommodate a variety of questions involving functional data of multiple forms. I consider three novel methods: (1) a function-on-function regression for Gaussian data; (2) a historical functional linear models for repeated measures; and (3) a generalized functional outcome regression for ordinal data. For each method, I discuss the existing shortcomings of the literature and demonstrate how my method fills those gaps. The abilities of each method are demonstrated via simulation and data application.en_US
dc.language.isoen_USen_US
dash.licenseLAA
dc.subjectBiostatisticsen_US
dc.subjectBayesian Inferenceen_US
dc.subjectBayesian Methodsen_US
dc.subjectFunctional Data Analysisen_US
dc.subjectFunction-on-Function Regressionen_US
dc.subjectWavelet Regressionen_US
dc.titleFunction-on-Function Regression with Public Health Applicationsen_US
dc.typeThesis or Dissertationen_US
dash.depositing.authorMeyer, Mark John
dc.date.available2014-06-06T21:28:48Z
thesis.degree.date2014en_US
thesis.degree.disciplineBiostatisticsen_US
thesis.degree.grantorHarvard Universityen_US
thesis.degree.leveldoctoralen_US
thesis.degree.namePh.D.en_US
dc.contributor.committeeMemberLange, Christophen_US
dc.contributor.committeeMemberMalloy, Elizabethen_US
dc.contributor.committeeMemberHersh, Craigen_US
dash.contributor.affiliatedMeyer, Mark John


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