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Bayesian Hierarchical Models in Clinical Research

A practical and mathematical guide to Bayesian hierarchical models in clinical research, including partial pooling, exchangeability, multilevel models, between-study heterogeneity, subgroup analyses, repeated measures, historical borrowing, posterior prediction, prior specification, and clinical trial applications.

Bayesian Futility Analysis Explained

A practical and mathematical guide to Bayesian futility analysis in clinical trials, including posterior probabilities, predictive probability of success, Bayesian stopping rules, a complete worked example, prior sensitivity, simulation, and R implementation.

Bayesian Borrowing of Historical Control Data

A practical and computational guide to Bayesian borrowing of historical control data in clinical trials, including commensurate priors, power priors, robust borrowing, effective sample size, posterior inference, operating characteristics, and a complete worked example.

Bayesian Adaptive Randomization

A practical and mathematical guide to Bayesian adaptive randomization in clinical trials, including posterior probabilities, response-adaptive allocation, Bayesian updating, allocation rules, a complete worked example, simulation, operating characteristics, and R implementation.