Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Power calculations are based on 317 kebeles and approximately 2,627 farming households, with treatment assigned at the kebele level. Assuming a two-sided test, 80 percent statistical power, and a 5 percent significance level, the study is powered to detect standardized effect sizes of approximately 0.17 standard deviations for chemical fertilizer adoption and row planting, 0.19 standard deviations for improved seed adoption, and 0.18 standard deviations for agricultural revenue. These correspond to minimum detectable effects of about 3.5 percentage points for chemical fertilizer adoption (baseline mean: 45 percent), 1.3 percentage points for improved seed adoption (baseline mean: 6 percent), 3.4 percentage points for row planting (baseline mean: 21 percent), and ETB 21,900 in annual agricultural revenue (baseline mean: ETB 103,346), equivalent to approximately 21 percent of the baseline mean.