In current clinical trial development, historical information is receiving more attention as providing value beyond sample size calculation. Meta-analytic-predictive (MAP) priors and robust MAP priors have been proposed for prospectively borrowing historical data on a single endpoint. To simultaneously synthesize control information from multiple endpoints in confirmatory clinical trials, we propose to approximate posterior probabilities from a Bayesian hierarchical model and estimate critical values by deep learning to construct pre-specified decision functions before the trial conduct. Simulation studies and a case study demonstrate that our method additionally preserves power, and has a satisfactory performance under prior-data conflict.
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