Advances in the Analysis of Spatially Aggregated Data

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dc.contributor.advisorEnsor, Katherine B
dc.creatorSchedler, Julia C
dc.date.accessioned2020-04-27T19:14:17Z
dc.date.available2020-04-27T19:14:17Z
dc.date.created2019-12
dc.date.issued2020-04-23
dc.date.submittedDecember 2019
dc.date.updated2020-04-27T19:14:17Z
dc.description.abstractAn understanding of the spatial relationships in sociological and epidemiological applications is an important tool in the analysis of urban data. While point level data (e.g. observations at a given latitude/longitude) provide the most detail about spatial phenomenon, spatial data aggregated to the level of relevant municipal regions is easily accessible and can provide insights at a level useful for policy decisions for governments and communities. This work identifies two areas of focus in the analysis of spatially aggregated data. First, a new specification for dependence in spatial regression models for aggregated data using the Hausdorff distance and extended Hausdorff distance is introduced. The new dependence structure is shown to account for the shape and orientation of the irregular and disconnected regions often encountered in practice and evaluated in the context of model performance as well as a real data example. An R package compatible with existing spatial packages which implements the construction of spatial weight matrices generated using the (extended) Hausdorff distance is provided along with a vignette illustrating its use on real data. Second, the idea of a spatial case-crossover model is explored in the context of connection to existing spatial methods. A method for including spatial dependence in a spatio-temporal case-crossover model is also explored.
dc.format.mimetypeapplication/pdf
dc.identifier.citationSchedler, Julia C. "Advances in the Analysis of Spatially Aggregated Data." (2020) Diss., Rice University. <a href="https://hdl.handle.net/1911/108388">https://hdl.handle.net/1911/108388</a>.
dc.identifier.urihttps://hdl.handle.net/1911/108388
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectspatial statistics
dc.subjectcase crossover analysis
dc.subjectspatial weight matrix
dc.subjectareal data
dc.titleAdvances in the Analysis of Spatially Aggregated Data
dc.typeThesis
dc.type.materialText
thesis.degree.departmentStatistics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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