Abstract #301647

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JSM 2003 Abstract #301647
Activity Number: 308
Type: Invited
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #301647
Title: A Directional Derivative Approach to Spatio-temporal Monitoring of Disease
Author(s): Allan B. Clark*+ and Andrew Booth Lawson
Companies: University of South Carolina and University of South Carolina
Address: Department of Epidemiology, Columbia, SC, 29201,
Keywords: disease mapping ; kernel regression
Abstract:

Individual level disease maps display an estimate of the relative risk of disease over a spatial region. These maps are usually based on observing a set of spatial locations (addresses) of cases and controls (e.g., Kelsall and Diggle 1998). We consider the extension where the cases and controls form a realization of a space-time point process (addresses and dates) and interest lies in assessing if the first-order intensity of cases is changing with respect to time. Secondary interest lies in locating where, in space, the process is changing. In order to estimate the instantaneous change in the first-order intensity over time we consider a nonparametric estimator of the directional derivative, with respect to time, of the spatial surface. The directional derivative can be used to assess for both sudden changes of the first-order intensity (after a suitable standardisation), or it can be used to assess for gradual changes via an accumulation over time. The properties of this method are assessed via an asymptotic expansion for large samples and for small samples via a simulation study.


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