Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Student learning outcomes (EGRA/EGMA): 300 school clusters (100/arm), ~50 students/cluster, intra-cluster correlation =
0.15, significance level = 0.05, assumed attrition = 10%, assumed take-up = 60%. Minimum detectable effect (MDE) = 0.162
SD at 80% power; 0.187 SD at 90% power (15,000 students total).
Teacher outcomes (knowledge/mindset): 300 school clusters (100/arm), ~2.5 teachers/cluster, intra-cluster correlation = 0.05, significance level = 0.05, assumed attrition = 10%, assumed take-up = 70%. MDE = 0.26 SD at 80% power; 0.30 SD at 90% power (750 teachers total).