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Permanent link (DOI): https://doi.org/10.7939/R36D5PK2M

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An Examination of Spatial Scan Statistics for Time to Event Data Open Access

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Other title
Subject/Keyword
Log-Weibull
Spatial Scan Statistic
Time to Event
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Usman, Iram
Supervisor and department
Karunamuni, Rohana (Department of Statistics)
Rosychuk, Rhonda (Department of Paediatrics)
Examining committee member and department
Heo, Giseon (School of Dentistry)
Yuan, Yan (School of Public Health)
Department
Department of Mathematical and Statistical Sciences
Specialization
Statistics
Date accepted
2016-01-12T14:27:53Z
Graduation date
2016-06
Degree
Master of Science
Degree level
Master's
Abstract
The spatial scan statistic (SSS) has been used for the identification of geographical clusters of higher than expected numbers of cases of a condition such as an illness. Disease outbreaks in a geographic area are a typical example. These statistics can also identify geographic areas with longer time to events if the SSS uses appropriate distribution. Other authors have proposed the exponential and Weibull distributions for the event times. We have established the log-Weibull distribution as a new and alternative approach for the SSS, and compared and contrasted the three distributions through simulation studies to investigate right censoring. Different datasets from the exponential, Weibull, log-Normal, and gamma probability distributions have been generated in order to test the robustness of the SSS's. Three differential censoring settings were imposed on the generated datasets to test the detection power of the true spatial cluster by each SSS. The method along with the existing exponential and Weibull SSS's were also illustrated on the time to specialist visit (cardiology or internal medicine) data for discharged patients presenting to an Emergency Department for atrial fibrillation and flutter in Alberta during 2010-2011.
Language
English
DOI
doi:10.7939/R36D5PK2M
Rights
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
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