This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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659
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Type:
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Topic Contributed
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Date/Time:
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Thursday, August 5, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Bayesian Statistical Science
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Abstract - #308859 |
Title:
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The Effect of Spatial Confounding on Covariate Estimation
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Author(s):
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Garritt Page*+ and Yajun Liu and Dongchu Sun
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Companies:
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Duke University and University of Missouri and University of Missouri
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Address:
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Box 90251, Durham, NC, 27708, USA
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Keywords:
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Spatial confounding ;
Spatial correlation ;
Random effects
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Abstract:
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It is not uncommon in many applied contexts in which a spatially-varying error structure is considered for there to exist a covariate of interest or an unmeasured covariate that is also spatially-varying. In these situations it is hard to distinguish the effect of a covariate from the residual spatial variation. We investigate the effect of spatial confounding on the estimation of a covariate in terms of bias, variance, and mean squared error (MSE). We do this first by providing some analytical results for simple linear and multiple regression models with a normal spatial error structure were the full covariance structure is known. Then by way of a simulation study, we consider the effect of spatial confounding on the estimation of a covariate in a generalized linear model setting.
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