Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Power calculations are based on two-sided two-sample t-tests with a significance level of 0.05 and power of 0.80. For pooled main between-subject comparisons that combine two treatment cells (e.g., labeled versus unlabeled, or consistent versus inconsistent), with 256 participants per group, the minimum detectable effect size is approximately 0.25 standard deviations (d=0.248). For comparisons between individual treatment cells, with 128 participants per group, the minimum detectable effect size is approximately 0.35 standard deviations (d=0.352). As treatment is assigned at the individual level, no clustering adjustment is required.