Minimum detectable effect size for main outcomes (accounting for sample design and clustering)
We test several hypothesis for which we calculate the minimum detectable effect size based on our sample size, a power level of 80% and a significance level of 5%. The minimum detectable effect size of whether monitoring and punishment increase transfers is an increase of 0.2818 and 0.2930, respectively. The minimum detectable effect size of whether monitoring and punishment increase relative back transfers is 0.0295 percentage points and 0.0312 percentage points respectively. For testing whether leader monitoring and leader punishment are more effective in increasing transfers/ back transfers, the minimum detectable effect size is 0.4315 and 0.4372 for transfers and 0.0455 and 0.0491 percentage points for relative back transfers. In order to test whether the leader is followed more, the minimum detectable effect size is 0.0797 if the leader contributes, and 0.1290 if not. For the repayment data, we have a intra group correlation. When using a median split technique to identify groups with good and bad leaders, we have 50 % of groups with good and bad leaders. The minimum detectable effect size is 0.0882 when accounting for intra group correlation.