Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
The study is powered to detect standardized mean differences in SIAT examination scores between treatment and control groups. Assuming randomization at the district level (26 clusters), an average of approximately 800 students per district, intra-cluster correlation consistent with prior education field experiments, and a two-sided test at the 5% significance level with 80% power, the minimum detectable effect size for the primary outcome is approximately 0.15–0.20 standard deviations at the student level.
Power calculations account for clustering at the district level and unequal cluster sizes.