R package Rgbp: Hierarchical Modeling and Frequency Method Checking on Overdispersed Gaussian, Poisson, and Binomial Data. We utilize approximate Bayesian machinery to fit two-level conjugate hierarchical models on overdispersed Gaussian, Poisson, and Binomial data and evaluates whether the resulting approximate Bayesian interval estimates for random effects meet the nominal confidence levels via frequency coverage evaluation. The data that Rgbp assumes comprise observed sufficient statistic for each random effect, such as an average or a proportion of each group, without population-level data. The approximate Bayesian tool equipped with the adjustment for density maximization produces approximate point and interval estimates for model parameters including second-level variance component, regression coefficients, and random effect. For the Binomial data, the package provides an option to produce posterior samples of all the model parameters via the acceptance-rejection method. The package provides a quick way to evaluate coverage rates of the resultant Bayesian interval estimates for random effects via a parametric bootstrapping, which we call frequency method checking.
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References in zbMATH (referenced in 4 articles )
Showing results 1 to 4 of 4.
- Tak, Hyungsuk; You, Kisung; Ghosh, Sujit K.; Su, Bingyue; Kelly, Joseph: Data transforming augmentation for heteroscedastic models (2020)
- Tak, Hyungsuk; Ellis, Justin A.; Ghosh, Sujit K.: Robust and accurate inference via a mixture of Gaussian and Student’s (t) errors (2019)
- Tak, H.: Frequency coverage properties of a uniform shrinkage prior distribution (2017)
- Hyungsuk Tak, Joseph Kelly, Carl N. Morris: Rgbp: An R Package for Gaussian, Poisson, and Binomial Random Effects Models with Frequency Coverage Evaluations (2016) arXiv