JSM 2004 - Toronto

Abstract #301141

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Activity Number: 398
Type: Topic Contributed
Date/Time: Thursday, August 12, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #301141
Title: Multiresponse Smoothing and Spatial Models
Author(s): Stephan R. Sain*+
Companies: University of Colorado, Denver
Address: Department of Mathematics, Campus Box 170, Denver, CO, 80217-3364,
Keywords:
Abstract:

Many investigations in the environmental and biological sciences encounter data that is inherently multivariate, exhibits complex structure, and has various forms of dependence, in particular spatial dependence. A strategy is presented for multiple-response regression problems that uses the connection between spatial models (universal kriging) and thin-plate splines to model nonlinear relationships between explanatory and response variables via a type of smoothing. Furthermore, this strategy is reminiscent of semiparametric mixed models. In addition, spatial dependence can also be easily be incorporated. The methodology will be demonstrated using several examples, including the modeling of soil water profiles (pedotransfer functions) for use with crop models to examine sources of variation in crop yields and the modeling of skin cancer rates and climate variables.


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Revised March 2004