Journal
STATISTICS IN MEDICINE
Volume 33, Issue 27, Pages 4805-4824Publisher
WILEY-BLACKWELL
DOI: 10.1002/sim.6256
Keywords
ecological regression; overdispersed count data; robust models; spatial correlation
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Funding
- PRIN project Household wealth and youth unemployment: new survey methods to meet current challenges
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We introduce a semi-parametric approach to ecological regression for disease mapping, based on modelling the regression M-quantiles of a negative binomial variable. The proposed method is robust to outliers in the model covariates, including those due to measurement error, and can account for both spatial heterogeneity and spatial clustering. A simulation experiment based on the well-known Scottish lip cancer data set is used to compare the M-quantile modelling approach with a disease mapping approach based on a random effects model. This suggests that the M-quantile approach leads to predicted relative risks with smaller root mean square error. The paper concludes with an illustrative application of the M-quantile approach, mapping low birth weight incidence data for English Local Authority Districts for the years 2005-2010. Copyright (c) 2014 John Wiley & Sons, Ltd.
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