Analysis of survery data

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The research proposal concerns the statistical modelling of association and dependence among observations in time or space, with particular emphasis on survey data and survey methodology. I am proposing work on three aspects of the analysis of complex survey data. The first topic is that of density estimation for the joint distribution of event times and for spatial analysis; the former is relevant when we are interested in assessing whether one type of event might trigger another, and the latter will be applicable to the visualization of spatial distributions of disease incidence. The second topic is estimation in multilevel models, wherein explanatory variables at more than one level of aggregation are used to model responses; since this kind of modeling is increasingly widely used, resampling methods which allow for the complex sampling design in estimating components of variance, and which can be made available to analysts, will be explored. Finally, I will study applications of hierarchical models to account for population heterogeneity in the analysis of survey data, with particular application to cross-cultural survey methods. This topic is of great interest to social scientists and health scientists in the context of international surveys.