User-friendly functions for leveraging (multiple) historical data set(s) in Bayesian analysis of generalized linear models (GLMs) and survival models, along with support for Bayesian model averaging (BMA). The package provides functions for sampling from posterior distributions under various informative priors, including the prior induced by the Bayesian hierarchical model, power prior by Ibrahim and Chen (2000) tools:::Rd_expr_doi("10.1214/ss/1009212673"), normalized power prior by Duan et al. (2006) tools:::Rd_expr_doi("10.1002/env.752"), normalized asymptotic power prior by Ibrahim et al. (2015) tools:::Rd_expr_doi("10.1002/sim.6728"), commensurate prior by Hobbs et al. (2011) tools:::Rd_expr_doi("10.1111/j.1541-0420.2011.01564.x"), robust meta-analytic-predictive prior by Schmidli et al. (2014) tools:::Rd_expr_doi("10.1111/biom.12242"), latent exchangeability prior by Alt et al. (2024) tools:::Rd_expr_doi("10.1093/biomtc/ujae083"), and a normal (or half-normal) prior. The package also includes functions for computing model averaging weights, such as BMA, pseudo-BMA, pseudo-BMA with the Bayesian bootstrap, and stacking (Yao et al., 2018 tools:::Rd_expr_doi("10.1214/17-BA1091")), as well as for generating posterior samples from the ensemble distributions to reflect model uncertainty. In addition to GLMs, the package supports survival models including: (1) accelerated failure time (AFT) models, (2) piecewise exponential (PWE) models, i.e., proportional hazards models with piecewise constant baseline hazards, and (3) mixture cure rate models that assume a common probability of cure across subjects, paired with a PWE model for the non-cured population. Functions for computing marginal log-likelihoods under each implemented prior are also included. The package compiles all the 'CmdStan' models once during installation using the 'instantiate' package.
Bayesian analysis of generalized linear models using historical data
Maintainer: Ethan M. Alt ethanalt@live.unc.edu (ORCID) [copyright holder]
Authors:
Xinxin Chen
Luiz M. Carvalho
Joseph G. Ibrahim
Other contributors:
Xiuya Chang [contributor]
Useful links: