Spatial prediction in the presence of positional error

Standard analyses of spatial data assume that measurement and prediction locations are measured precisely. In this paper we consider how appropriate methods of estimation and prediction change when this assumption is relaxed and the locations are subject to positional error. We describe basic models...

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Main Authors: Fanshawe, T, Diggle, P
Format: Journal article
Language:English
Published: 2011
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author Fanshawe, T
Diggle, P
author_facet Fanshawe, T
Diggle, P
author_sort Fanshawe, T
collection OXFORD
description Standard analyses of spatial data assume that measurement and prediction locations are measured precisely. In this paper we consider how appropriate methods of estimation and prediction change when this assumption is relaxed and the locations are subject to positional error. We describe basic models for positional error and assess their impact on spatial prediction. Using both simulated data and lead concentration pollution data from Galicia, Spain, we show how the predictive distributions of quantities of interest change after allowing for the positional error, and describe scenarios in which positional errors may affect the qualitative conclusions of an analysis. The subject of positional error is of particular relevance in assessing the exposure of an individual to an environmental pollutant when the position of the individual is tracked using imperfect measurement technology. © 2010 John Wiley and Sons, Ltd..
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spelling oxford-uuid:61f7de80-7173-4f2e-b14c-478ffb6aba942022-03-26T18:03:27ZSpatial prediction in the presence of positional errorJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:61f7de80-7173-4f2e-b14c-478ffb6aba94EnglishSymplectic Elements at Oxford2011Fanshawe, TDiggle, PStandard analyses of spatial data assume that measurement and prediction locations are measured precisely. In this paper we consider how appropriate methods of estimation and prediction change when this assumption is relaxed and the locations are subject to positional error. We describe basic models for positional error and assess their impact on spatial prediction. Using both simulated data and lead concentration pollution data from Galicia, Spain, we show how the predictive distributions of quantities of interest change after allowing for the positional error, and describe scenarios in which positional errors may affect the qualitative conclusions of an analysis. The subject of positional error is of particular relevance in assessing the exposure of an individual to an environmental pollutant when the position of the individual is tracked using imperfect measurement technology. © 2010 John Wiley and Sons, Ltd..
spellingShingle Fanshawe, T
Diggle, P
Spatial prediction in the presence of positional error
title Spatial prediction in the presence of positional error
title_full Spatial prediction in the presence of positional error
title_fullStr Spatial prediction in the presence of positional error
title_full_unstemmed Spatial prediction in the presence of positional error
title_short Spatial prediction in the presence of positional error
title_sort spatial prediction in the presence of positional error
work_keys_str_mv AT fanshawet spatialpredictioninthepresenceofpositionalerror
AT digglep spatialpredictioninthepresenceofpositionalerror