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- W813847347 abstract "Selecting an appropriate prior distribution is a fundamental issue in Bayesian Statistics. In this dissertation, under the framework provided by Berger and Bernardo [1992], I derive the reference priors for several models which include: Analysis of Variance (ANOVA)/Analysis of Covariance (ANCOVA) models with a categorical variable under common ordering constraints, the conditionally autoregressive (CAR) models and the simultaneous autoregressive (SAR) models with a spatial autoregression parameter ρ considered. The performances of reference priors for ANOVA/ANCOVA models are evaluated by simulation studies with comparisons to Jeffreys’ prior and Least Squares Estimation (LSE). The priors are then illustrated in a Bayesian model of the “Risk of Type 2 Diabetes in New Mexico” data, where the relationship between the type 2 diabetes risk (through Hemoglobin A1c) and different smoking levels is investigated. In both simulation studies and real data set" @default.
- W813847347 created "2016-06-24" @default.
- W813847347 creator A5080053029 @default.
- W813847347 date "2015-06-24" @default.
- W813847347 modified "2023-09-27" @default.
- W813847347 title "Order-Constrained Reference Priors with Implications for Bayesian Isotonic Regression, Analysis of Covariance and Spatial Models" @default.
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