Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
With a total sample of 4,230 respondents randomly assigned to three experimental arms (1,410 per group), the study has 80% power to detect a minimum effect sizes (treatment vs. control) of approximately 0.1 if treating the outcome as continuous and 0.05 if treating the outcome as binary (e.g. support or strong support VS. no support).