Open AccessTowards a Multidimensional Approach to Bayesian Disease Mapping
Author(s) -
Miguel A. Martínez-Beneito,
Paloma Botella-Rocamora,
Sudipto Banerjee
Publication year - 2017
Publication title -
bayesian analysis
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 2.685
H-Index - 58
eISSN - 1936-0975
pISSN - 1931-6690
DOI - 10.1214/16-ba995
Subject(s) - multivariate statistics , smoothing , multivariate analysis , bayesian probability , separable space , covariance , econometrics , computer science , statistics , data mining , mathematics , mathematical analysis
Multivariate disease mapping enriches traditional disease mapping studies by analysing several diseases jointly. This yields improved estimates of the geographical distribution of risk from the diseases by enabling borrowing of information across diseases. Beyond multivariate smoothing for several diseases, several other variables, such as sex, age group, race, time period, and so on, could also be jointly considered to derive multivariate estimates. The resulting multivariate structures should induce an appropriate covariance model for the data. In this paper, we introduce a formal framework for the analysis of multivariate data arising from the combination of more than two variables (geographical units and at least two more variables), what we have called Multidimensional Disease Mapping. We develop a theoretical framework containing both separable and non-separable dependence structures and illustrate its performance on the study of real mortality data in Comunitat Valenciana (Spain).