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Multivariate analysis of dependent count data
Applicant
Held Leonhard
Number
124429
Funding scheme
Project funding (Div. I-III)
Research institution
Institut für Epidemiologie, Biostatistik und Prävention Universität Zürich
Institution of higher education
University of Zurich - ZH
Main discipline
Mathematics
Start/End
01.04.2009 - 31.07.2010
Approved amount
106'600.00
Show all
All Disciplines (3)
Discipline
Mathematics
Methods of Epidemiology and Preventive Medicine
Medical Statistics
Keywords (7)
Bayesian statistics; Infectious disease epidemiology; Markov chain Monte Carlo; Spatial epidemiology; Statistical modelling; Structured Poisson regression; large nested project Swiss National Cohort
Lay Summary (English)
Lead
Lay summary
The goal of this project is to develop novel statistical methods for the analysis of dependent multivariate count data from epidemiology. There are two main areas of research. First, new methodology for structured Poisson regression models will be developed. This framework includes important special cases such as age-period-cohort models for count data stratified by age group and calendar time or spatial and spatio-temporal models from geographical epidemiology. Modern inference techniques, in particular efficient Markov chain Monte Carlo(MCMC) algorithms based on auxiliary variables and numerical methods based on integrated nested Laplace approximations will be considered.The methodology will be applied to multivariate mortality data obtained from the Swiss National Cohort.Secondly, statistical methods for the analysis of multivariate infectious disease surveillance data will be advanced further. Random effects will be incorporated in the multivariate models developed so far. This will enable the analysis of high-dimensional multivariate time series of counts with heterogeneity in the model coefficients.The predictive properties of the models proposed will be validated based on proper scoring rules and related techniques. Finally, a regression-based approach to incorporate possible dependence of infectiveness parameters on covariates will be considered.
Direct link to Lay Summary
Last update: 21.02.2013
Responsible applicant and co-applicants
Name
Institute
Held Leonhard
Center for Reproducible Science (CRS) EBPI University of Zurich
Employees
Name
Institute
Paul Michaela
Riebler Andrea
Dept. of Mathematical Sciences NTNU Trondheim
Associated projects
Number
Title
Start
Funding scheme
130002
Multivariate analysis of dependent count data
01.08.2010
Project funding (Div. I-III)
196247
SUSPend: Impact of Social distancing policies and Underreporting on the SPatio-temporal spread of COVID-19
01.06.2020
Special Call on Coronaviruses
116776
Multivariate analysis of dependent count and survival data
01.04.2007
Project funding (Div. I-III)
130002
Multivariate analysis of dependent count data
01.08.2010
Project funding (Div. I-III)
137919
Statistical methods for spatio-temporal modelling and prediction of infectious diseases
01.03.2012
Project funding (Div. I-III)
Abstract
The goal of this project is to develop novel statistical methods for the analysis of dependent multivariate count data from epidemiology. It builds upon the project “Multivariate analysis of dependent count and survival data”, which is funded by SNF since April 2007. There are two main areas of research. First, new methodology for structured Poisson regressionmodels will be developed. This framework includes important special cases such as age-period-cohort models for count data stratified by age group and calendar time or spatial and spatio-temporal models from geographical epidemiology. Modern inference techniques, in particular efficient Markov chain Monte Carlo (MCMC) algorithms based on auxiliary variables and numerical methods based on integrated nested Laplace approximations will be considered. The methodology will be applied to multivariate mortality data obtained from the Swiss National Cohort. Secondly, statistical methods for the analysis of multivariate infectious disease surveillance data will be advanced further. Random effects will be incorporated in the multivariate models developed so far. This will enable the analysis of high-dimensional multivariate time series of countswith heterogeneity in the model coefficients. The predictive properties of the models proposed will be validated based on proper scoring rules and related techniques. Finally, a regression-based approach to incorporate possible dependence of infectiveness parameters on covariates will be considered.
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