Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
We will leverage individual level randomization to the type of clubs on around 1,300 girls. First, we will analyze the impact on the take-up: we expect to detect an improvement of 5 percentage points out of a baseline mean of 90% for the girls assigned to single-sex schools. Then, we will investigate the impact on the track choice. With a significance level of 5%, we expect a minimum detectable effect of 0.17 standard deviations, or a 7 percentage points compared to a mean in the control group of 20 percentage points. We expect to achieve higher power once we control for characteristics collected during the survey, especially given that we will have a rich set of baseline information available.
Finally, to investigate the impact of negotiation and empowering communication, we will randomize at club-level. Considering 160 clubs, we expect a minimum detectable effect on track choice of 0.13 standard deviation. This may compensate in mixed gender clubs the potential negative impact of the across gender interaction.