Faculty Advisor

Prof. Balgobin Nandram

Abstract

It is customary when presenting a choropleth map of rates or counts to present only the estimates (mean or mode) of the parameters of interest. While this technique illustrates spatial variation, it ignores the variation inherent in the estimates. We describe an approach to present variability in choropleth maps by constructing 100(1-alpha)% simultaneous intervals. The result provides three maps (estimate with two bands). We propose two methods to construct simultaneous intervals from the optimal individual highest posterior density (HPD) intervals to ensure joint simultaneous coverage of 100(1-alpha)%. Both methods exhibit the main feature of multiplying the lower bound and dividing the upper bound of the individual HPD intervals by parameters 0

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Mathematical Sciences

Project Type

Thesis

Date Accepted

2004-01-05

Accessibility

Unrestricted

Subjects

Poisson-Gamma Regression, MCMC, Bayesian, Small Area Estimation, Simultaneous Inference, Statistics, Mappings (Mathematics), Mortality, Statistics, Mathematical models, Bayesian statistical decision theory, Poisson processes

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