Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Phase 1:
With N = 336, 80% power and one-sided α=.05, the minimum detectable difference in treatment effects between low- and high-moral-conviction groups is approximately 0.54 SD.
Total sample:
With N = 504, 80% power, and two-sided α = .05, the minimum detectable standardized treatment * moral-conviction interaction is approximately 0.25 SD per one-SD increase in moral conviction.