Bayesian modelling of space-time interactions on the Lexis diagram

Schmid, Volker J. und Held, Leonhard (2003): Bayesian modelling of space-time interactions on the Lexis diagram. Sonderforschungsbereich 386, Discussion Paper 314

Abstract

We propose a full model-based framework for a statistical analysis of incidence or mortality count data stratified by age, period and space, with specific inclusion of additional cohort effects. The setup will be fully Bayesian based on a series of Gaussian Markov random field priors for each of the components. Additional space-time interactions will be either modelled as space-period or space-cohort effects. Statistical inference is based on efficient algorithms to block update Gaussian Markov random fields, which have recently been proposed in the literature. We illustrate our approach in an analysis of stomach cancer data in West Germany.

• Dokumententyp: Paper
• Keywords: Block updating; disease mapping; hierarchical models; Markov chain Monte Carlo; Markov random field models; age-period-cohort model; space-time interaction
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Sonderforschungsbereich 386 ; Sonderforschungsbereiche > Sonderforschungsbereich 386
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch