Bayesian adaptive N‐of‐1 trials for estimating population and individual treatment effects

This article proposes a novel adaptive design algorithm that can be used to find optimal treatment allocations in N‐of‐1 clinical trials. This new methodology uses two Laplace approximations to provide a computationally efficient estimate of population and individual random effects within a repeated measures, adaptive design framework. Given the efficiency of this approach, it is also adopted for treatment selection to target the collection of data for the precise estimation of treatment effects. To evaluate this approach, we consider both a simulated and motivating N‐of‐1 clinical trial from the literature. For each trial, our methods were compared with the multiarmed bandit approach and a randomized N‐of‐1 trial design in terms of identifying the best treatment for each patient and the information gained about the model parameters. The results show that our new approach selects designs that are highly efficient in achieving each of these objectives. As such, we propose our Laplace‐based algorithm as an efficient approach for designing adaptive N‐of‐1 trials.