Spatial regression with covariate measurement error: A semiparametric approach.

TitleSpatial regression with covariate measurement error: A semiparametric approach.
Publication TypeJournal Article
Year of Publication2016
AuthorsHuque, Md Hamidul, Howard D. Bondell, Raymond J. Carroll, and Louise M. Ryan
JournalBiometrics
Volume72
Issue3
Pagination678-86
Date Published2016 Sep
ISSN1541-0420
KeywordsBias, Computer Simulation, Geography, Medical, Humans, Models, Statistical, Myocardial Ischemia, Sample Size, Socioeconomic Factors, Spatial Regression
Abstract

Spatial data have become increasingly common in epidemiology and public health research thanks to advances in GIS (Geographic Information Systems) technology. In health research, for example, it is common for epidemiologists to incorporate geographically indexed data into their studies. In practice, however, the spatially defined covariates are often measured with error. Naive estimators of regression coefficients are attenuated if measurement error is ignored. Moreover, the classical measurement error theory is inapplicable in the context of spatial modeling because of the presence of spatial correlation among the observations. We propose a semiparametric regression approach to obtain bias-corrected estimates of regression parameters and derive their large sample properties. We evaluate the performance of the proposed method through simulation studies and illustrate using data on Ischemic Heart Disease (IHD). Both simulation and practical application demonstrate that the proposed method can be effective in practice.

DOI10.1111/biom.12474
Alternate JournalBiometrics
Original PublicationSpatial regression with covariate measurement error: A semiparametric approach.
PubMed ID26788930
PubMed Central IDPMC4956600
Grant ListP01 CA142538 / CA / NCI NIH HHS / United States
R25 CA090301 / CA / NCI NIH HHS / United States
U01 CA057030 / CA / NCI NIH HHS / United States
Project: