A hierarchical non-homogenous Poisson model for meta-analysis of adenoma counts
نویسندگان
چکیده
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متن کاملHierarchical Poisson model
• Count data are often modeled using a Poisson model. • If y ∼ Poisson(μ) then E(y) = var(y) = μ. • When counts are assumed exchangeable given μ and the rates μ can also be assumed to be exchangeable, a Gamma population model for the rates is often chosen. • The hierarchical model is then yi ∼ Poisson(μi) μi ∼ Gamma(α, β). • Priors for the hyperparameters are often taken to be Gamma (or exponen...
متن کاملHierarchical Poisson model
• Count data are often modeled using a Poisson model. • If y ∼ Poisson(μ) then E(y) = var(y) = μ. • When counts are assumed exchangeable given μ and the rates μ can also be assumed to be exchangeable, a Gamma population model for the rates is often chosen. • The hierarchical model is then yi ∼ Poisson(μi) μi ∼ Gamma(α, β). • Priors for the hyperparameters are often taken to be Gamma (or exponen...
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ژورنال
عنوان ژورنال: Statistics in Medicine
سال: 2006
ISSN: 0277-6715,1097-0258
DOI: 10.1002/sim.2460