Comparing models for variables given on disparate spatial scales [Elektronische Ressource] : an epidemiological example / vorgelegt von Sibylle Sturtz

Comparing models for variablesgiven on disparate spatial scales:An epidemiological exampleDissertationzur Erlangung des Gradeseines Doktors der Naturwissenschaftender Universit¨at DortmundDem Fachbereich Statistikder Universit¨at Dortmundvorgelegt vonSibylle SturtzDortmund, Juni 2007Gutachter:Prof. Dr. Katja IckstadtProf. Dr. Claus WeihsTag der mu¨ndlichen Pru¨fung:11. September 2007ContentsOverview on structures and models code v1 Introduction 12 Data description 72.1 Leukaemia registration data . . . . . . . . . . . . . . . . . . . 82.2 Population estimates and number of expected cases . . . . . . 102.3 Benzene exposure data . . . . . . . . . . . . . . . . . . . . . . 122.4 An index of deprivation. . . . . . . . . . . . . . . . . . . . . . 143 Spatial models 173.1 Bayesian inference . . . . . . . . . . . . . . . . . . . . . . . . 193.2 Poisson and Gamma random fields . . . . . . . . . . . . . . . 213.3 Theory of Poisson–Gamma models . . . . . . . . . . . . . . . 233.4 Settings and Implementation of Poisson–Gamma models . . . 283.4.1 Prior settings . . . . . . . . . . . . . . . . . . . . . . . 293.4.2 Restricted Poisson–Gamma random field models . . . . 303.4.3 Poisson–Gamma random field models . . . . . . . . . . 32i3.5 The Markov random field–based ecologic regression model . . 363.6 The clustering approach by Knorr–Held and Raßer (2000) . . 374 Computation: Linking R and WinBUGS 415 Convergence diagnostics and model selection 455.