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Criticism of a hierarchical model using Bayes factors

✍ Scribed by James H. Albert

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
171 KB
Volume
18
Category
Article
ISSN
0277-6715

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✦ Synopsis

This paper analyses a data file of heart transplant surgeries performed in the United States over a two-year period. A Poisson/gamma exchangeable model is used to learn about the underlying death rates for 94 hospitals. There are concerns about the suitability of this hierarchical model, including the need for a hierarchical structure, the existence of outliers, the choice of prior hyperparameters, the need for a covariate in the model, and the manner in which exchangeability was modelled. Each concern motivates the construction of alternative models and Bayes factors are used to compare the existing model with the alternative models. Graphical displays are used to check the sensitivity of the posterior analysis with respect to model perturbations and plots of Bayes factors are used to criticize these perturbations.

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