Sample size considerations for micro-randomized trials with binary proximal outcomes.

ABSTRACT: Micro-randomized trials (MRTs) are a novel experimental design for developing mobile health interventions. Participants are repeatedly randomized in an MRT, resulting in longitudinal data with time-varying treatments. Causal excursion effects are the main quantities of interest in MRT primary and secondary analyses. We consider MRTs where the proximal outcome is binary and the randomization probability is constant or time-varying but not data-dependent. We develop a sample size formula for detecting a nonzero marginal excursion effect. We prove that the formula guarantees power under a set of working assumptions. We demonstrate via simulation that violations of certain working assumptions do not affect the power, and for those that do, we point out the direction in which the power changes.

SUBMITTER: Cohn ER 

PROVIDER: S-EPMC10314739 | biostudies-literature | 2023 Jul

REPOSITORIES: biostudies-literature