Authors: Djeudeu-Deudjui, Dany-Armand
Title: Spatial and spatio-temporal regression modelling with conditional autoregressive random effects for epidemiological and spatially referenced data
Language (ISO): en
Abstract: Regression models are suitable to analyse the association between health outcomes and environmental exposures. However, in urban health studies where spatial and temporal changes are of importance, spatial and spatio-temporal variations are usually neglected. This thesis develops and applies regression methods incorporating latent random effects terms with Conditional Autoregressive (CAR) structures in classical regression models to account for the spatial effects for cross-sectional analysis and spatio-temporal effects for longitudinal analysis. The thesis is divided into two main parts. Firstly, methods to analyse data for which all variables are given on an areal level are considered. The longitudinal Heinz Nixdorf Recall Study is used throughout this thesis for application. The association between the risk of depression and greenness at the district level is analysed. A spatial Poisson model with a latent CAR structured-Random effect is applied for selected time points. Then, a sophisticated spatio-temporal extension of the Poisson model results to a negative association between greenness and depression. The findings also suggest strong temporal autocorrelation and weak spatial effects. Even if the weak spatial effects are suggestive of neglecting them, as in the case of this thesis, spatial and spatio-temporal random effects should be taken into account to provide reliable inference in urban health studies. Secondly, to avoid ecological and atomic fallacies due to data aggregation and disaggregation, all data should be used at their finest spatial level given. Multilevel Conditional Autoregressive (CAR) models help to simultaneously use all variables at their initial spatial resolution and explain the spatial effect in epidemiological studies. This is especially important where subjects are nested within geographical units. This second part of the thesis has two goals. Essentially, it further develops the multilevel models for longitudinal data by adding existing random effects with CAR structures that change over time. These new models are named MLM tCARs. By comparing the MLM tCARs to the classical multilevel growth model via simulation studies, we observe a better performance of MLM tCARs in retrieving the true regression coefficients and with better fits. The models are comparatively applied on the analysis of the association between greenness and depressive symptoms at the individual level in the longitudinal Heinz Nixdorf Recall Study. The results show again negative association between greenness and depression and a decreasing linear individual time trend for all models. We observe once more very weak spatial variation and moderate temporal autocorrelation. Besides, the thesis provides comprehensive decision trees for analysing data in epidemiological studies for which variables have a spatial background.
Subject Headings: Multilevel conditional autoregressive model
Longitudinal data
Decision tree
Subject Headings (RSWK): Räumliche Statistik
Autoregressiver Prozess
Issue Date: 2022
Appears in Collections:Lehrstuhl Mathematische Statistik und biometrische Anwendungen

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