Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
We compute power for β3 in Y_i1 = β0 + β1 T_i + β2 G_i0 + β3 (T_i × G_i0) + β4 Y_i0 + δ_s + ε_i1, where Y_i1 is the primary outcome index at 3 months, standardized relative to the control group (mean 0, SD 1; Kling, Liebman & Katz 2007), Y_i0 its baseline value, T_i the information treatment, G_i0 a pre-specified baseline subgroup indicator, and δ_s stratum fixed effects. Monte Carlo simulation following McConnell & Vera-Hernández (2025), 2,000 replications per power evaluation, assuming N = 630 at endline (750 at baseline less attrition), individual 1:1 randomization within strata (no clustering), subgroups of equal size, and a baseline–endline correlation of the index of 0.5. MDE for β3 at 80% power and 5% significance (two-sided): around 0.39 SD of the index (39% of a standard deviation), equivalent to effects of about 0.2 SD in opposite directions for the two subgroups.